( 2 * 5 ^ 5893179 ) ^ 2 + 1 , 8238312 ,  Oct 2024 , Ryan Propper; srsieve; PRST
             ( 3 * 2 ^ 5124537 ) ^ 4 + 1 , 6170560 ,  Jun 2023 , Ryan Propper; LLR
             ( 2 * 5 ^ 4215589 ) ^ 2 + 1 , 5893142 ,  Jan 2024 , Ryan Propper; srsieve; PRST
             ( 2 * 3 ^ 5639733 ) ^ 2 + 1 , 5381674 ,  Sep 2024 , Ryan Propper; srsieve; PRST
             ( 5 * 2 ^ 6859633 ) ^ 2 + 1 , 4129912 ,  Sep 2022 , Ryan Propper; LLR
             ( 3 * 2 ^ 3427068 ) ^ 4 + 1 , 4126603 ,  Oct 2022 , Ryan Propper; LLR
             ( 3 * 2 ^ 3367646 ) ^ 4 + 1 , 4055052 ,  Oct 2022 , Ryan Propper; LLR
             ( 2 * 5 ^ 2690271 ) ^ 2 + 1 , 3760839 ,  Feb 2023 , Ryan Propper; LLR
             ( 2 * 3 ^ 3789189 ) ^ 2 + 1 , 3615806 ,  Sep 2024 , Ryan Propper; srsieve; PRST
             ( 3 * 2 ^ 5683143 ) ^ 2 + 1 , 3421594 ,  Mar 2020 , Ryan Propper; LLR
            ( 11 * 2 ^ 4792222 ) ^ 2 + 1 , 2885208 ,  Nov 2020 , James Winskill; PSieve; srsieve; PrimeGrid; 12121 Search; LLR
             ( 7 * 2 ^ 4593895 ) ^ 2 + 1 , 2765803 ,  Sep 2022 , Ryan Propper; LLR
             ( 5 * 2 ^ 4394314 ) ^ 2 + 1 , 2645643 ,  Mar 2021 , Tom Greer; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 5 * 2 ^ 4228414 ) ^ 2 + 1 , 2545761 ,  Jan 2021 , Wolfgang Schwieger; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 3 * 2 ^ 2027309 ) ^ 4 + 1 , 2441126 ,  Sep 2022 , Ryan Propper; LLR
             ( 2 * 3 ^ 2010063 ) ^ 2 + 1 , 1918089 ,  Sep 2024 , Ryan Propper; srsieve; PRST
             ( 3 * 2 ^ 1400007 ) ^ 4 + 1 , 1685779 ,  Aug 2022 , Ryan Propper; LLR
            ( 17 * 2 ^ 2455935 ) ^ 2 + 1 , 1478623 ,  Apr 2024 , Stefan Larsson; LLR2; PSieve; srsieve; PrimeGrid; LLR
           ( 10 * 406 ^ 271614 ) ^ 2 + 1 , 1417027 ,  Sep 2020 , Anonymous; srsieve; CRUS; LLR
            ( 2 * 797 ^ 234351 ) ^ 2 + 1 , 1359920 ,  Feb 2017 , Dennis Sydekum; srsieve; CRUS; Prime95; LLR
             ( 5 * 2 ^ 2240512 ) ^ 2 + 1 , 1348925 ,  Oct 2019 , Will Steinbach; PSieve; srsieve; PrimeGrid; LLR
                         127162! ^ 2 + 1 , 1187715 ,  Jun 2025 , Ryan Propper; OpenPFGW
             ( 7 * 2 ^ 1918545 ) ^ 2 + 1 , 1155081 ,  Sep 2019 , Sean Matheis; PSieve; srsieve; PrimeGrid; LLR
             ( 5 * 2 ^ 1866572 ) ^ 2 + 1 , 1123790 ,  Sep 2019 , Tom Greer; PSieve; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 919075 ) ^ 4 + 1 , 1106680 ,  Jul 2022 , Vaughan Davies; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 11 * 2 ^ 904719 ) ^ 4 + 1 , 1089395 ,  Sep 2018 , Chris Siegert; LLR
             ( 8 * 10 ^ 529397 ) ^ 2 + 1 , 1058796 ,  Sep 2017 , Dmitry Domanov; PSieve; srsieve; CRUS; LLR
             ( 3 * 2 ^ 1748721 ) ^ 2 + 1 , 1052836 ,  Oct 2012 , Heinz Ming; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 5 ^ 748283 ) ^ 2 + 1 , 1046056 ,  Feb 2023 , Ryan Propper; LLR
            ( 63 * 2 ^ 1730471 ) ^ 2 + 1 , 1041851 ,  Feb 2023 , Andrew Dunchouk; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 10 ^ 519445 ) ^ 2 + 1 , 1038891 ,  Mar 2024 , Predrag Kurtovic; srsieve; Prime95; LLR
              ( 5 * 2 ^ 859643 ) ^ 4 + 1 , 1035117 ,  Oct 2017 , Jochen Beck; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 3 ^ 1071687 ) ^ 2 + 1 , 1022650 ,  May 2020 , Ryan Propper; LLR
              ( 3 * 2 ^ 838231 ) ^ 4 + 1 , 1009333 ,  Jan 2012 , Michał Gasewicz; PSieve; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 795195 ) ^ 4 + 1 ,  957513 ,  Feb 2022 , Stefan Larsson; LLR2; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 3 ^ 968445 ) ^ 2 + 1 ,  924132 ,  May 2020 , Ryan Propper; LLR
              ( 5 * 2 ^ 742584 ) ^ 4 + 1 ,  894164 ,  Feb 2021 , Jonathan Sipes; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 5 * 2 ^ 1463611 ) ^ 2 + 1 ,  881184 ,  Apr 2013 , Rick Channing; PSieve; srsieve; PrimeGrid; LLR
            ( 31 * 2 ^ 1435298 ) ^ 2 + 1 ,  864139 ,  Jun 2020 , Senji Yamashita; PSieve; srsieve; PrimeGrid; LLR
             ( 3 * 10 ^ 431434 ) ^ 2 + 1 ,  862869 ,  Apr 2024 , Predrag Kurtovic; srsieve; Prime95; LLR
            ( 21 * 2 ^ 1377094 ) ^ 2 + 1 ,  829096 ,  Jul 2019 , Jörg Bravin; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 11 ^ 96426 ) ^ 8 + 1 ,  803342 ,  Sep 2014 , Harsh Aggarwal; srsieve; LLR
         ( 11111 * 2 ^ 1315104 ) ^ 2 + 1 ,  791780 ,  Jul 2024 , Yao Chen; LLR
            ( 15 * 2 ^ 1296459 ) ^ 2 + 1 ,  780549 ,  Feb 2015 , Sai Yik Tang; PSieve; srsieve; PrimeGrid; LLR
             ( 5 * 2 ^ 1291845 ) ^ 2 + 1 ,  777770 ,  Apr 2013 , Håkan Lind; PSieve; srsieve; PrimeGrid; LLR
            ( 2 * 737 ^ 134651 ) ^ 2 + 1 ,  772216 ,  Feb 2016 , Predrag Kurtovic; srsieve; CRUS; Prime95; LLR
            ( 13 * 2 ^ 1272763 ) ^ 2 + 1 ,  766282 ,  Jan 2015 , Tom Greer; PSieve; srsieve; PrimeGrid; LLR
           ( 14 * 814 ^ 131628 ) ^ 2 + 1 ,  766242 ,  Sep 2021 , Anonymous; srsieve; CRUS; LLR
              ( 5 * 2 ^ 620818 ) ^ 4 + 1 ,  747543 ,  May 2017 , Quasar Liao; PSieve; srsieve; PrimeGrid; LLR
            ( 23 * 2 ^ 1235257 ) ^ 2 + 1 ,  743702 ,  Mar 2017 , Seonghwan Kim; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 5 ^ 526211 ) ^ 2 + 1 ,  735613 ,  Feb 2023 , Ryan Propper; LLR
            ( 19 * 2 ^ 1212116 ) ^ 2 + 1 ,  729770 ,  Nov 2016 , Randall Scalise; PSieve; srsieve; PrimeGrid; LLR
           ( 42 * 327 ^ 144661 ) ^ 2 + 1 ,  727518 ,  Jul 2020 , Anonymous; srsieve; CRUS; LLR
              ( 2 * 3 ^ 749803 ) ^ 2 + 1 ,  715495 ,  Jan 2020 , Matthias Baur; srsieve; NewPGen; LLR
              ( 2 * 5 ^ 62367 ) ^ 16 + 1 ,  697488 ,  Jun 2014 , Harsh Aggarwal; srsieve; LLR
            ( 19 * 2 ^ 1156416 ) ^ 2 + 1 ,  696235 ,  Mar 2016 , Brad Johnston; PSieve; srsieve; PrimeGrid; LLR
            ( 27 * 2 ^ 1151581 ) ^ 2 + 1 ,  693324 ,  Mar 2016 , Dr. James Scott Brown; PSieve; srsieve; PrimeGrid; LLR
            ( 27 * 2 ^ 1150145 ) ^ 2 + 1 ,  692460 ,  Mar 2016 , Dr. James Scott Brown; PSieve; srsieve; PrimeGrid; LLR
            ( 35 * 2 ^ 1145925 ) ^ 2 + 1 ,  689919 ,  Jul 2025 , David Perek; PPSE; PrimeGrid
            ( 65 * 2 ^ 1143040 ) ^ 2 + 1 ,  688183 ,  Jun 2025 , Chase Tarson; PPSE; PrimeGrid
            ( 47 * 2 ^ 1142945 ) ^ 2 + 1 ,  688125 ,  Jun 2025 , Matthew Hilbrink; PPSE; PrimeGrid
            ( 51 * 2 ^ 1141418 ) ^ 2 + 1 ,  687206 ,  Jun 2025 , Mike McDonald; PPSE; PrimeGrid
            ( 4 * 710 ^ 120007 ) ^ 2 + 1 ,  684344 ,  Jul 2019 , Anonymous; srsieve; CRUS; LLR
            ( 29 * 2 ^ 1132092 ) ^ 2 + 1 ,  681591 ,  Feb 2016 , Stefan Larsson; PSieve; srsieve; PrimeGrid; LLR
             ( 11 * 2 ^ 562524 ) ^ 4 + 1 ,  677351 ,  Apr 2017 , Chris Siegert; LLR
            ( 57 * 2 ^ 1122143 ) ^ 2 + 1 ,  675601 ,  Mar 2025 , Daniel Greeley; LLR2; PSieve; srsieve; PrimeGrid; LLR
            ( 73 * 2 ^ 1109713 ) ^ 2 + 1 ,  668118 ,  Feb 2025 , Anhad Lamba; LLR2; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 3 ^ 173076 ) ^ 8 + 1 ,  660629 ,  Feb 2014 , Harsh Aggarwal; srsieve; LLR
              ( 2 * 3 ^ 85036 ) ^ 16 + 1 ,  649165 ,  Aug 2014 , Harsh Aggarwal; srsieve; LLR
             ( 5 * 2 ^ 1070942 ) ^ 2 + 1 ,  644773 ,  Sep 2011 , Grzegorz Granowski; PSieve; srsieve; PrimeGrid; LLR
             ( 3 * 984 ^ 53613 ) ^ 4 + 1 ,  641856 ,  Feb 2020 , Anonymous; srsieve; CRUS; LLR
            ( 55 * 2 ^ 1057603 ) ^ 2 + 1 ,  636744 ,  Jan 2025 , Dan Bishopp; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR
            ( 35 * 2 ^ 1056368 ) ^ 2 + 1 ,  636000 ,  Jan 2025 , Kai Presler; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 13 * 2 ^ 261930 ) ^ 8 + 1 ,  630800 ,  Mar 2019 , Lei Zhou; NewPGen; LLR
             ( 11 * 2 ^ 523346 ) ^ 4 + 1 ,  630176 ,  Apr 2017 , Chris Siegert; LLR
            ( 67 * 2 ^ 1032325 ) ^ 2 + 1 ,  621526 ,  Jan 2025 , LeRoy Blanchard; PPSE; PrimeGrid
            ( 79 * 2 ^ 1026920 ) ^ 2 + 1 ,  618272 ,  Jan 2025 , Anthony Roy; PPSE; PrimeGrid
            ( 97 * 2 ^ 1024519 ) ^ 2 + 1 ,  616826 ,  Jan 2025 , Marc Monnin; PPSE; PrimeGrid
              ( 5 * 2 ^ 509854 ) ^ 4 + 1 ,  613929 ,  Apr 2014 , Grzegorz Granowski; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 5 ^ 425939 ) ^ 2 + 1 ,  595438 ,  Feb 2023 , Ryan Propper; LLR
             ( 63 * 2 ^ 984515 ) ^ 2 + 1 ,  592741 ,  Jun 2024 , Sabrina Tarson; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 33 * 2 ^ 982237 ) ^ 2 + 1 ,  591369 ,  Dec 2013 , Ričardas Lukoševičius; PSieve; srsieve; PrimeGrid; LLR
             ( 71 * 2 ^ 971084 ) ^ 2 + 1 ,  584655 ,  Mar 2024 , Takashi Iwasaki; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 3 * 10 ^ 291848 ) ^ 2 + 1 ,  583697 ,  Jun 2020 , Predrag Kurtovic; srsieve; Prime95; LLR
          ( 528 * 288 ^ 117795 ) ^ 2 + 1 ,  579414 ,  Nov 2020 , Anonymous; srsieve; CRUS; LLR
              ( 5 * 2 ^ 480264 ) ^ 4 + 1 ,  578299 ,  Oct 2013 , Benjamin Glasgow; PSieve; srsieve; PrimeGrid; LLR
             ( 13 * 2 ^ 235304 ) ^ 8 + 1 ,  566678 ,  Sep 2018 , Lei Zhou; NewPGen; LLR
             ( 79 * 2 ^ 937446 ) ^ 2 + 1 ,  564403 ,  Feb 2024 , Kai Presler; LLR2; PSieve; srsieve; PrimeGrid; LLR
             ( 61 * 2 ^ 916164 ) ^ 2 + 1 ,  551590 ,  Jan 2024 , Yasuhisa Omori; PPSE; PrimeGrid
              ( 2 * 3 ^ 577299 ) ^ 2 + 1 ,  550884 ,  Nov 2019 , Matthias Baur; srsieve; NewPGen; LLR
              ( 3 * 2 ^ 903787 ) ^ 2 + 1 ,  544135 ,  Jun 2011 , Reuben Gathright; PSieve; srsieve; PrimeGrid; LLR
            ( 4 * 140 ^ 125589 ) ^ 2 + 1 ,  539062 ,  May 2019 , Matthias Baur; srsieve; CRUS; LLR
              ( 2 * 14 ^ 58598 ) ^ 8 + 1 ,  537289 ,  Sep 2014 , Harsh Aggarwal; srsieve; LLR
            ( 30 * 20 ^ 205828 ) ^ 2 + 1 ,  535580 ,  Nov 2021 , Predrag Kurtovic; srsieve; Prime95; LLR
             ( 85 * 2 ^ 875880 ) ^ 2 + 1 ,  527337 ,  Jun 2023 , Chase Tarson; PPSE; PrimeGrid
             ( 97 * 2 ^ 873627 ) ^ 2 + 1 ,  525980 ,  May 2023 , PPSE; PrimeGrid
            ( 191 * 2 ^ 869690 ) ^ 2 + 1 ,  523611 ,  May 2021 , Predrag Kurtovic; srsieve; Prime95; LLR
            ( 12 * 648 ^ 93053 ) ^ 2 + 1 ,  523254 ,  Jan 2015 , Lennart Vogel; srsieve; CRUS; LLR
             ( 27 * 2 ^ 862217 ) ^ 2 + 1 ,  519110 ,  Jan 2013 , John S Morris III; PSieve; srsieve; PrimeGrid; LLR
             ( 35 * 2 ^ 859583 ) ^ 2 + 1 ,  517524 ,  Nov 2022 , Patrick Schöfer; PPSE; PrimeGrid
             ( 93 * 2 ^ 852257 ) ^ 2 + 1 ,  513114 ,  Jul 2022 , Andrew M Farrow; PPSE; PrimeGrid
             ( 97 * 2 ^ 844967 ) ^ 2 + 1 ,  508725 ,  May 2022 , Honza Cholt; PPSE; PrimeGrid
             ( 39 * 2 ^ 843320 ) ^ 2 + 1 ,  507733 ,  Apr 2022 , PPSE; PrimeGrid
           ( 14 * 323 ^ 100938 ) ^ 2 + 1 ,  506551 ,         - , CRUS
            ( 96 * 421 ^ 95901 ) ^ 2 + 1 ,  503347 ,  Aug 2021 , Anonymous; srsieve; CRUS; LLR
             ( 99 * 2 ^ 832112 ) ^ 2 + 1 ,  500986 ,  Feb 2022 , Predrag Kurtovic; srsieve; PrimeGrid; LLR
             ( 45 * 2 ^ 829199 ) ^ 2 + 1 ,  499231 ,  Feb 2022 , Rob Derrera; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 823021 ) ^ 2 + 1 ,  495510 ,  Jul 2011 , Marc Koschewski; PSieve; srsieve; PrimeGrid; LLR
              ( 3 * 2 ^ 410857 ) ^ 4 + 1 ,  494724 ,  Mar 2009 , Tadashi Taura; NewPGen; PRP; Proth
             ( 13 * 2 ^ 817543 ) ^ 2 + 1 ,  492213 ,  Feb 2013 , Andreas Adolfsson; PSieve; srsieve; PrimeGrid; LLR
             ( 45 * 2 ^ 807115 ) ^ 2 + 1 ,  485935 ,  Jan 2021 , Richard Mortimore; PSieve; srsieve; PrimeGrid; LLR
             ( 71 * 2 ^ 806220 ) ^ 2 + 1 ,  485397 ,  Dec 2020 , Gerrit Slomma; PSieve; srsieve; PrimeGrid; LLR
              ( 3 * 2 ^ 401712 ) ^ 4 + 1 ,  483712 ,  Mar 2007 , Tadashi Taura; Proth
             ( 79 * 2 ^ 772814 ) ^ 2 + 1 ,  465285 ,  Sep 2019 , Dale Laluk; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 422 ^ 44071 ) ^ 4 + 1 ,  462802 ,  Feb 2019 , Dennis Sydekum; srsieve; CRUS; LLR
             ( 37 * 2 ^ 766651 ) ^ 2 + 1 ,  461574 ,  Mar 2019 , Vadim Bulanov; PSieve; srsieve; PrimeGrid; LLR
             ( 65 * 2 ^ 765284 ) ^ 2 + 1 ,  460751 ,  Feb 2019 , Edward McKernan; PSieve; srsieve; PrimeGrid; LLR
              ( 2 * 12 ^ 53256 ) ^ 8 + 1 ,  459786 ,  Apr 2017 , Harsh Aggarwal; srsieve; LLR
             ( 17 * 2 ^ 761325 ) ^ 2 + 1 ,  458366 ,  Jan 2013 , Grzegorz Granowski; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 83 ^ 118235 ) ^ 2 + 1 ,  453805 ,  Oct 2010 , Serge Batalov; srsieve; OpenPFGW
             ( 91 * 2 ^ 744434 ) ^ 2 + 1 ,  448198 ,  Apr 2018 , Alexey Simbarsky; PSieve; srsieve; PrimeGrid; LLR
            ( 113 * 2 ^ 741329 ) ^ 2 + 1 ,  446329 ,  Apr 2016 , Serge Batalov; srsieve; LLR
            ( 109 * 2 ^ 739406 ) ^ 2 + 1 ,  445171 ,  Apr 2016 , Serge Batalov; srsieve; LLR
             ( 19 * 2 ^ 729654 ) ^ 2 + 1 ,  439299 ,  Jan 2012 , Lennart Vogel; PSieve; srsieve; PrimeGrid; LLR
             ( 6 * 908 ^ 73230 ) ^ 2 + 1 ,  433243 ,         - , CRUS
             ( 27 * 2 ^ 715453 ) ^ 2 + 1 ,  430749 ,  Jul 2011 , Alexander Gramolin; NewPGen; LLR
             ( 51 * 2 ^ 711044 ) ^ 2 + 1 ,  428095 ,  Sep 2016 , Randall Scalise; PSieve; srsieve; PrimeGrid; LLR
           ( 1009 * 2 ^ 709562 ) ^ 2 + 1 ,  427205 ,  May 2018 , Michael Gillion; NewPGen; LLR
             ( 15 * 2 ^ 708784 ) ^ 2 + 1 ,  426733 ,  Jan 2012 , Duboi Si; PSieve; srsieve; PrimeGrid; LLR
             ( 63 * 2 ^ 707389 ) ^ 2 + 1 ,  425895 ,  Jul 2016 , Billy Cain; PSieve; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 352667 ) ^ 4 + 1 ,  424657 ,  Jan 2012 , Jon Goral; PSieve; srsieve; PrimeGrid; LLR
            ( 115 * 2 ^ 703569 ) ^ 2 + 1 ,  423595 ,  Apr 2016 , Serge Batalov; srsieve; LLR
            ( 113 * 2 ^ 675329 ) ^ 2 + 1 ,  406593 ,  Apr 2016 , Serge Batalov; srsieve; LLR
            ( 115 * 2 ^ 663963 ) ^ 2 + 1 ,  399750 ,  Apr 2016 , Serge Batalov; srsieve; LLR
             ( 13 * 2 ^ 663557 ) ^ 2 + 1 ,  399504 ,  Jan 2012 , Adrian Reber; PSieve; srsieve; PrimeGrid; LLR
             ( 95 * 2 ^ 662194 ) ^ 2 + 1 ,  398685 ,  Nov 2014 , Michele T. Mazzucato; PSieve; srsieve; PrimeGrid; LLR
             ( 17 * 2 ^ 658689 ) ^ 2 + 1 ,  396573 ,  Jan 2012 , Tim Rickard; PSieve; srsieve; PrimeGrid; LLR
             ( 65 * 2 ^ 649768 ) ^ 2 + 1 ,  391203 ,  Oct 2014 , Sebastian Raue; PSieve; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 649093 ) ^ 2 + 1 ,  390795 ,  May 2005 , Curtis Cooper; NewPGen; PRP; Proth
             ( 2 * 257 ^ 80211 ) ^ 2 + 1 ,  386607 ,  Feb 2011 , Serge Batalov; srsieve; CRUS; OpenPFGW
             ( 97 * 2 ^ 641015 ) ^ 2 + 1 ,  385934 ,  Jun 2014 , Chris Siegert; PSieve; srsieve; PrimeGrid; LLR
             ( 91 * 2 ^ 629782 ) ^ 2 + 1 ,  379171 ,  Apr 2014 , Michael R. McPherson; PSieve; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 629281 ) ^ 2 + 1 ,  378867 ,  Dec 2004 , Curtis Cooper; NewPGen; PRP; Proth
             ( 57 * 2 ^ 626879 ) ^ 2 + 1 ,  377423 ,  Mar 2014 , Heinz Durstewitz; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 410 ^ 72039 ) ^ 2 + 1 ,  376446 ,         - , CRUS
             ( 99 * 2 ^ 624364 ) ^ 2 + 1 ,  375909 ,  Feb 2014 , Jeff Webster; PSieve; srsieve; PrimeGrid; LLR
            ( 14 * 228 ^ 78016 ) ^ 2 + 1 ,  367916 ,         - , CRUS
             ( 91 * 2 ^ 608808 ) ^ 2 + 1 ,  366543 ,  Feb 2014 , Frank Matillek; PSieve; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 605744 ) ^ 2 + 1 ,  364696 ,  Jan 2005 , Curtis Cooper; NewPGen; PRP; Proth
             ( 47 * 2 ^ 603397 ) ^ 2 + 1 ,  363285 ,  Nov 2013 , Randall Scalise; PSieve; srsieve; PrimeGrid; LLR
             ( 8 * 602 ^ 65039 ) ^ 2 + 1 ,  361567 ,         - , CRUS
            ( 179 * 2 ^ 596584 ) ^ 2 + 1 ,  359184 ,  Aug 2014 , Michael Gillion; NewPGen; LLR
             ( 65 * 2 ^ 576260 ) ^ 2 + 1 ,  346947 ,  Sep 2013 , Alexis Kravtchenko; PSieve; srsieve; PrimeGrid; LLR
             ( 33 * 2 ^ 575851 ) ^ 2 + 1 ,  346700 ,  Oct 2011 , Jason Schofield; PSieve; srsieve; PrimeGrid; LLR
              ( 9 * 2 ^ 285887 ) ^ 4 + 1 ,  344247 ,  Aug 2013 , Randy Ready; PSieve; srsieve; PrimeGrid; LLR
             ( 79 * 2 ^ 560428 ) ^ 2 + 1 ,  337416 ,  Aug 2013 , Randy Ready; PSieve; srsieve; PrimeGrid; LLR
             ( 17 * 2 ^ 558591 ) ^ 2 + 1 ,  336308 ,  Nov 2011 , Alison Bowler; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 551715 ) ^ 2 + 1 ,  332168 ,  Apr 2009 , Steven Harvey; srsieve; PrimeGrid; LLR
             ( 89 * 2 ^ 543942 ) ^ 2 + 1 ,  327490 ,  May 2013 , Michael Mamanakis; PSieve; srsieve; PrimeGrid; LLR
             ( 77 * 2 ^ 543773 ) ^ 2 + 1 ,  327388 ,  Apr 2013 , Jianwen Ling; PSieve; srsieve; PrimeGrid; LLR
             ( 59 * 2 ^ 542304 ) ^ 2 + 1 ,  326504 ,  Mar 2013 , Luis Resto; PSieve; srsieve; PrimeGrid; LLR
         ( 105164 * 3 ^ 340608 ) ^ 2 + 1 ,  325033 ,         - , CRUS
             ( 71 * 2 ^ 537698 ) ^ 2 + 1 ,  323731 ,  Apr 2013 , Dr. James Scott Brown; PSieve; srsieve; PrimeGrid; LLR
             ( 31 * 2 ^ 536384 ) ^ 2 + 1 ,  322939 ,  Sep 2011 , Lee Blyth; PSieve; srsieve; PrimeGrid; LLR
             ( 31 * 2 ^ 532220 ) ^ 2 + 1 ,  320432 ,  Oct 2011 , Jan Koval; PSieve; srsieve; PrimeGrid; LLR
              ( 3 * 2 ^ 525513 ) ^ 2 + 1 ,  316392 ,  Dec 2004 , Souichi Murata; Satoshi Noda; Takahiro Nohara; NewPGen; ; PRP; OpenPFGW
              ( 7 * 2 ^ 256908 ) ^ 4 + 1 ,  309352 ,  Oct 2012 , Henryk Jeka; PSieve; srsieve; PrimeGrid; LLR
             ( 85 * 2 ^ 513422 ) ^ 2 + 1 ,  309115 ,  Oct 2012 , Bruce Dodson; PSieve; srsieve; PrimeGrid; LLR
             ( 41 * 2 ^ 510856 ) ^ 2 + 1 ,  307570 ,  Oct 2012 , Radoslaw Szymeczko; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 920 ^ 51843 ) ^ 2 + 1 ,  307304 ,         - , CRUS
             ( 45 * 2 ^ 506636 ) ^ 2 + 1 ,  305029 ,  Oct 2012 , Lennart Vogel; PSieve; srsieve; PrimeGrid; LLR
             ( 63 * 2 ^ 503687 ) ^ 2 + 1 ,  303254 ,  Oct 2012 , Dr. James Scott Brown; PSieve; srsieve; PrimeGrid; LLR
             ( 17 * 2 ^ 494591 ) ^ 2 + 1 ,  297776 ,  Oct 2010 , Steven Harvey; PSieve; srsieve; PrimeGrid; LLR
             ( 33 * 2 ^ 494113 ) ^ 2 + 1 ,  297489 ,  Jun 2011 , Tetsuya Wakayama; PSieve; srsieve; PrimeGrid; LLR
            ( 11 * 596 ^ 52654 ) ^ 2 + 1 ,  292258 ,         - , CRUS
              ( 5 * 2 ^ 483207 ) ^ 2 + 1 ,  290922 ,  May 2004 , Curtis Cooper; NewPGen; PRP; Proth
            ( 12 * 648 ^ 51347 ) ^ 2 + 1 ,  288735 ,         - , CRUS
              ( 5 * 2 ^ 237233 ) ^ 4 + 1 ,  285660 ,  Jun 2011 , Bruce Dodson; PSieve; srsieve; PrimeGrid; LLR
            ( 68 * 578 ^ 25653 ) ^ 4 + 1 ,  283415 ,         - , CRUS
             ( 33 * 2 ^ 469077 ) ^ 2 + 1 ,  282416 ,  May 2011 , Ruediger K. Eckhard; LLR
             ( 47 * 2 ^ 465983 ) ^ 2 + 1 ,  280554 ,  Jul 2012 , Lee Blyth; PSieve; srsieve; PrimeGrid; LLR
             ( 65 * 2 ^ 464187 ) ^ 2 + 1 ,  279473 ,  Jul 2012 , Lee Blyth; PSieve; srsieve; PrimeGrid; LLR
             ( 57 * 2 ^ 462019 ) ^ 2 + 1 ,  278167 ,  Jun 2012 , Chris Siegert; PSieve; srsieve; PrimeGrid; LLR
              ( 9 * 2 ^ 229865 ) ^ 4 + 1 ,  276789 ,  Jun 2012 , Bruce Dodson; PSieve; srsieve; PrimeGrid; LLR
             ( 65 * 2 ^ 458491 ) ^ 2 + 1 ,  276043 ,  Jun 2012 , Lennart Vogel; PSieve; srsieve; PrimeGrid; LLR
             ( 73 * 2 ^ 457411 ) ^ 2 + 1 ,  275393 ,  Jun 2012 , Randall Scalise; PSieve; srsieve; PrimeGrid; LLR
             ( 65 * 2 ^ 451698 ) ^ 2 + 1 ,  271953 ,  Jun 2012 , Grzegorz Granowski; PSieve; srsieve; PrimeGrid; LLR
             ( 15 * 2 ^ 449851 ) ^ 2 + 1 ,  270840 ,  Mar 2010 , Steven Harvey; srsieve; PrimeGrid; LLR
             ( 2 * 650 ^ 48111 ) ^ 2 + 1 ,  270665 ,  Aug 2010 , Ian M Gunn; srsieve; CRUS; LLR
             ( 59 * 2 ^ 445088 ) ^ 2 + 1 ,  267974 ,  Jun 2012 , Bart Kus; PSieve; srsieve; PrimeGrid; LLR
             ( 47 * 2 ^ 441965 ) ^ 2 + 1 ,  266093 ,  May 2012 , Dr. James Scott Brown; PSieve; srsieve; PrimeGrid; LLR
             ( 53 * 2 ^ 441907 ) ^ 2 + 1 ,  266058 ,  Nov 2007 , Michael Gillion; NewPGen; LLR
             ( 61 * 2 ^ 440550 ) ^ 2 + 1 ,  265242 ,  May 2012 , Frank Matillek; PSieve; srsieve; PrimeGrid; LLR
            ( 347 * 2 ^ 436661 ) ^ 2 + 1 ,  262902 ,  Mar 2012 , Michael Gillion; NewPGen; LLR
             ( 57 * 2 ^ 435419 ) ^ 2 + 1 ,  262152 ,  May 2012 , Bart Kus; PSieve; srsieve; PrimeGrid; LLR
             ( 45 * 2 ^ 433175 ) ^ 2 + 1 ,  260801 ,  May 2012 , Bruce Dodson; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 214529 ) ^ 4 + 1 ,  258323 ,  May 2012 , Robert Ruge; PSieve; srsieve; PrimeGrid; LLR
             ( 45 * 2 ^ 422136 ) ^ 2 + 1 ,  254155 ,  Apr 2012 , Grzegorz Granowski; PSieve; srsieve; PrimeGrid; LLR
             ( 71 * 2 ^ 420704 ) ^ 2 + 1 ,  253293 ,  Apr 2012 , JensOla Ekström; PSieve; srsieve; PrimeGrid; LLR
             ( 79 * 2 ^ 420618 ) ^ 2 + 1 ,  253242 ,  Apr 2012 , Amy Chambers; PSieve; srsieve; PrimeGrid; LLR
              ( 3 * 2 ^ 417405 ) ^ 2 + 1 ,  251304 ,  Sep 2004 , Senji Yamashita; Satoshi Noda; Takahiro Nohara; NewPGen; ; PRP; OpenPFGW
             ( 2 * 962 ^ 42117 ) ^ 2 + 1 ,  251286 ,         - , CRUS
             ( 45 * 2 ^ 415689 ) ^ 2 + 1 ,  250274 ,  Apr 2012 , Robert Ruge; PSieve; srsieve; PrimeGrid; LLR
            ( 84 * 882 ^ 21080 ) ^ 4 + 1 ,  248370 ,         - , CRUS
            ( 24 * 178 ^ 54804 ) ^ 2 + 1 ,  246667 ,         - , CRUS
             ( 65 * 2 ^ 408416 ) ^ 2 + 1 ,  245895 ,  Apr 2012 , Andreas Adolfsson; PSieve; srsieve; PrimeGrid; LLR
             ( 85 * 2 ^ 404370 ) ^ 2 + 1 ,  243459 ,  Mar 2012 , Jörg Meili; PSieve; srsieve; PrimeGrid; LLR
             ( 59 * 2 ^ 403170 ) ^ 2 + 1 ,  242737 ,  Mar 2012 , Randall Scalise; PSieve; srsieve; PrimeGrid; LLR
             ( 13 * 2 ^ 400789 ) ^ 2 + 1 ,  241302 ,  Feb 2008 , Yuriy A. Choliy; Proth
             ( 99 * 2 ^ 397660 ) ^ 2 + 1 ,  239420 ,  Mar 2012 , Raphaël Jeudy; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 470 ^ 22234 ) ^ 4 + 1 ,  237647 ,         - , CRUS
             ( 55 * 2 ^ 393477 ) ^ 2 + 1 ,  236901 ,  Mar 2012 , Edoardo Pirovano; PSieve; srsieve; PrimeGrid; LLR
             ( 77 * 2 ^ 391957 ) ^ 2 + 1 ,  235986 ,  Mar 2012 , Patrick Zeczycki; PSieve; srsieve; PrimeGrid; LLR
             ( 27 * 2 ^ 391895 ) ^ 2 + 1 ,  235948 ,  Mar 2010 , Sean Faith; srsieve; PrimeGrid; LLR
             ( 85 * 2 ^ 389772 ) ^ 2 + 1 ,  234670 ,  Feb 2012 , Rick Channing; PSieve; srsieve; PrimeGrid; LLR
             ( 21 * 2 ^ 388018 ) ^ 2 + 1 ,  233613 ,  Nov 2007 , Thierry Gaillard; NewPGen; LLR
              ( 2 * 7 ^ 133391 ) ^ 2 + 1 ,  225458 ,  Dec 2009 , Brian Lody; srsieve; ; OpenPFGW
              ( 2 * 17 ^ 89219 ) ^ 2 + 1 ,  219560 ,  Sep 2010 , Serge Batalov; srsieve; OpenPFGW
             ( 95 * 2 ^ 362318 ) ^ 2 + 1 ,  218142 ,  Nov 2011 , Brandon Letzin; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 179895 ) ^ 4 + 1 ,  216619 ,  Nov 2011 , Kennichi Uehara; PSieve; srsieve; PrimeGrid; LLR
             ( 27 * 2 ^ 358129 ) ^ 2 + 1 ,  215619 ,  Feb 2010 , Nikolay Dovgiy; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 178903 ) ^ 4 + 1 ,  215425 ,  Nov 2011 , Steven Harvey; PSieve; srsieve; PrimeGrid; LLR
             ( 35 * 2 ^ 353169 ) ^ 2 + 1 ,  212633 ,  Sep 2011 , Lila Dily; PSieve; srsieve; PrimeGrid; LLR
             ( 87 * 2 ^ 347547 ) ^ 2 + 1 ,  209249 ,  Sep 2011 , Herbert Schmitz Porten; PSieve; srsieve; PrimeGrid; LLR
             ( 37 * 2 ^ 340047 ) ^ 2 + 1 ,  204732 ,  Aug 2011 , Bruce Dodson; PSieve; srsieve; PrimeGrid; LLR
             ( 11 * 2 ^ 337180 ) ^ 2 + 1 ,  203005 ,  Apr 2007 , Joseph Bohanon; LLR; OpenPFGW
              ( 5 * 2 ^ 167800 ) ^ 4 + 1 ,  202055 ,  Aug 2009 , Christophe Gillet; srsieve; PrimeGrid; LLR
             ( 85 * 2 ^ 329357 ) ^ 2 + 1 ,  198297 ,  Mar 2011 , Bruce Southey; PSieve; srsieve; PrimeGrid; LLR
             ( 73 * 2 ^ 323799 ) ^ 2 + 1 ,  194951 ,  Feb 2011 , Frans Englund; PSieve; srsieve; PrimeGrid; LLR
            ( 44 * 999 ^ 32317 ) ^ 2 + 1 ,  193878 ,         - , CRUS
             ( 47 * 2 ^ 321697 ) ^ 2 + 1 ,  193685 ,  Feb 2011 , Rune Fredriksen; PSieve; srsieve; PrimeGrid; LLR
             ( 27 * 2 ^ 320437 ) ^ 2 + 1 ,  192926 ,  Apr 2009 , Bruno Courty; srsieve; PrimeGrid; LLR
            ( 263 * 2 ^ 320185 ) ^ 2 + 1 ,  192776 ,  Jan 2010 , Michael Gillion; NewPGen; LLR
             ( 17 * 2 ^ 319451 ) ^ 2 + 1 ,  192332 ,  Apr 2009 , Lukas Hron; srsieve; PrimeGrid; LLR
             ( 11 * 2 ^ 318282 ) ^ 2 + 1 ,  191627 ,  Apr 2007 , Joseph Bohanon; LLR; OpenPFGW
             ( 8 * 995 ^ 31775 ) ^ 2 + 1 ,  190514 ,  Sep 2010 , Serge Batalov; srsieve; CRUS; OpenPFGW
             ( 65 * 2 ^ 315949 ) ^ 2 + 1 ,  190224 ,  Feb 2011 , Kenta Miyakoshi; PSieve; srsieve; PrimeGrid; LLR
             ( 47 * 2 ^ 315593 ) ^ 2 + 1 ,  190010 ,  Feb 2011 , Jorg Richstein; PSieve; srsieve; PrimeGrid; LLR
            ( 149 * 2 ^ 315458 ) ^ 2 + 1 ,  189929 ,  Apr 2008 , Michael Gillion; NewPGen; LLR
              ( 5 * 2 ^ 313855 ) ^ 2 + 1 ,  188961 ,  Apr 2004 , Curtis Cooper; NewPGen; PRP; Proth
             ( 5 * 938 ^ 31766 ) ^ 2 + 1 ,  188832 ,         - , CRUS
             ( 43 * 2 ^ 313149 ) ^ 2 + 1 ,  188538 ,  Feb 2011 , Susanne Halicki; PSieve; srsieve; PrimeGrid; LLR
            ( 18 * 222 ^ 20081 ) ^ 4 + 1 ,  188474 ,         - , CRUS
              ( 13 * 2 ^ 78060 ) ^ 8 + 1 ,  187997 ,  Mar 2009 , Lei Zhou; NewPGen; LLR
             ( 15 * 2 ^ 311860 ) ^ 2 + 1 ,  187761 ,  Oct 2005 , Jim Fougeron; OpenPFGW
             ( 45 * 2 ^ 311250 ) ^ 2 + 1 ,  187395 ,  Feb 2011 , Keith Pattenden; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 155347 ) ^ 4 + 1 ,  187060 ,  Feb 2011 , Rune Fredriksen; PSieve; srsieve; PrimeGrid; LLR
             ( 95 * 2 ^ 308622 ) ^ 2 + 1 ,  185813 ,  Jan 2011 , Lennart Vogel; PSieve; srsieve; PrimeGrid; LLR
             ( 41 * 2 ^ 306186 ) ^ 2 + 1 ,  184346 ,  Jan 2011 , Rune Fredriksen; PSieve; srsieve; PrimeGrid; LLR
             ( 71 * 2 ^ 306074 ) ^ 2 + 1 ,  184279 ,  Jan 2011 , Rune Fredriksen; PSieve; srsieve; PrimeGrid; LLR
              ( 9 * 2 ^ 152711 ) ^ 4 + 1 ,  183887 ,  Jan 2011 , Rune Fredriksen; PSieve; srsieve; PrimeGrid; LLR
             ( 15 * 2 ^ 302586 ) ^ 2 + 1 ,  182178 ,  Sep 2005 , Jim Fougeron; OpenPFGW
             ( 13 * 2 ^ 301035 ) ^ 2 + 1 ,  181244 ,  Nov 2007 , Yuriy A. Choliy; Proth
             ( 63 * 2 ^ 300969 ) ^ 2 + 1 ,  181205 ,  Jan 2011 , Adam Smith; PSieve; srsieve; PrimeGrid; LLR
             ( 15 * 2 ^ 300040 ) ^ 2 + 1 ,  180645 ,  Sep 2005 , Jim Fougeron; OpenPFGW
             ( 95 * 2 ^ 295623 ) ^ 2 + 1 ,  177987 ,  Dec 2010 , Adrian Taylor; PSieve; srsieve; PrimeGrid; LLR
             ( 99 * 2 ^ 294970 ) ^ 2 + 1 ,  177594 ,  Dec 2010 , Eric Ueda; PSieve; srsieve; PrimeGrid; LLR
             ( 6 * 972 ^ 29276 ) ^ 2 + 1 ,  174936 ,         - , CRUS
           ( 4425 * 2 ^ 284925 ) ^ 2 + 1 ,  171550 ,  Feb 2007 , Kimihisa Ayuha; NewPGen; LLR
             ( 69 * 2 ^ 284900 ) ^ 2 + 1 ,  171531 ,  Nov 2010 , Gerrit Slomma; PSieve; srsieve; PrimeGrid; LLR
            ( 42 * 162 ^ 38463 ) ^ 2 + 1 ,  169973 ,         - , CRUS
           ( 128 * 810 ^ 29175 ) ^ 2 + 1 ,  169715 ,         - , CRUS
             ( 8 * 470 ^ 31669 ) ^ 2 + 1 ,  169248 ,         - , CRUS
              ( 13 * 2 ^ 70198 ) ^ 8 + 1 ,  169063 ,  Mar 2009 , Lei Zhou; NewPGen; LLR
             ( 27 * 2 ^ 277037 ) ^ 2 + 1 ,  166796 ,  Feb 2009 , Senji Yamashita; srsieve; PrimeGrid; LLR
             ( 2 * 740 ^ 29021 ) ^ 2 + 1 ,  166537 ,         - , CRUS
              ( 2 * 12 ^ 77071 ) ^ 2 + 1 ,  166348 ,  Apr 2009 , Lei Zhou; LLR
             ( 37 * 2 ^ 275611 ) ^ 2 + 1 ,  165938 ,  Sep 2010 , Vid Vidmar; PSieve; srsieve; PrimeGrid; LLR
             ( 57 * 2 ^ 275497 ) ^ 2 + 1 ,  165870 ,  Sep 2010 , Kimmo Myllyvirta; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 136893 ) ^ 4 + 1 ,  164839 ,  Sep 2010 , Dale Laluk; PSieve; srsieve; PrimeGrid; LLR
             ( 71 * 2 ^ 269720 ) ^ 2 + 1 ,  162392 ,  Aug 2010 , Glen Martin; PSieve; srsieve; PrimeGrid; LLR
             ( 27 * 2 ^ 268615 ) ^ 2 + 1 ,  161726 ,  Aug 2008 , Steven Harvey; FermFact; OpenPFGW
             ( 61 * 2 ^ 268458 ) ^ 2 + 1 ,  161632 ,  Jul 2007 , Michael Gillion; NewPGen; LLR
             ( 55 * 2 ^ 268405 ) ^ 2 + 1 ,  161600 ,  Jul 2010 , Sascha Thorsten Dietsch; PSieve; srsieve; PrimeGrid; LLR
             ( 33 * 2 ^ 267403 ) ^ 2 + 1 ,  160996 ,  Feb 2009 , John M. Dunn; srsieve; PrimeGrid; LLR
             ( 91 * 2 ^ 266328 ) ^ 2 + 1 ,  160350 ,  Jul 2010 , Tetsuya Watanabe; PSieve; srsieve; PrimeGrid; LLR
             ( 51 * 2 ^ 265970 ) ^ 2 + 1 ,  160134 ,  Jul 2010 , Timo Schneider; PSieve; srsieve; PrimeGrid; LLR
            ( 159 * 78 ^ 41966 ) ^ 2 + 1 ,  158812 ,         - , CRUS
             ( 85 * 2 ^ 262844 ) ^ 2 + 1 ,  158252 ,  Jul 2010 , Maciej Kowalik; PSieve; srsieve; PrimeGrid; LLR
             ( 47 * 2 ^ 262093 ) ^ 2 + 1 ,  157800 ,  Jul 2010 , Danny T. Morris; PSieve; srsieve; PrimeGrid; LLR
             ( 97 * 2 ^ 261429 ) ^ 2 + 1 ,  157400 ,  Jul 2010 , Dr. James Scott Brown; PSieve; srsieve; PrimeGrid; LLR
             ( 55 * 2 ^ 260154 ) ^ 2 + 1 ,  156632 ,  Jul 2010 , René Van Gysel; PSieve; srsieve; PrimeGrid; LLR
             ( 11 * 2 ^ 256510 ) ^ 2 + 1 ,  154437 ,  Apr 2007 , Joseph Bohanon; LLR; OpenPFGW
             ( 45 * 2 ^ 252937 ) ^ 2 + 1 ,  152287 ,  May 2010 , Roman Rasenko; PSieve; srsieve; PrimeGrid; LLR
             ( 73 * 2 ^ 252221 ) ^ 2 + 1 ,  151856 ,  May 2010 , Robert Arthur; PSieve; srsieve; PrimeGrid; LLR
              ( 7 * 2 ^ 250619 ) ^ 2 + 1 ,  150890 ,  Jul 2006 , Carel Hendrik van der Westhuizen; Proth
             ( 45 * 2 ^ 249017 ) ^ 2 + 1 ,  149927 ,  Apr 2010 , Steve Martin; PSieve; srsieve; PrimeGrid; LLR
             ( 2 * 440 ^ 28043 ) ^ 2 + 1 ,  148262 ,         - , CRUS
              ( 2 * 744 ^ 6420 ) ^ 8 + 1 ,  147487 ,         - , CRUS
             ( 14 * 53 ^ 42508 ) ^ 2 + 1 ,  146594 ,         - , CRUS
             ( 77 * 2 ^ 237389 ) ^ 2 + 1 ,  142927 ,  Jul 2007 , Michael Gillion; NewPGen; LLR
             ( 29 * 48 ^ 42366 ) ^ 2 + 1 ,  142458 ,         - , CRUS
             ( 45 * 2 ^ 233364 ) ^ 2 + 1 ,  140503 ,  Sep 2009 , Martin Kladny; srsieve; PrimeGrid; LLR
           ( 4425 * 2 ^ 233039 ) ^ 2 + 1 ,  140311 ,  Dec 2006 , Kimihisa Ayuha; NewPGen; LLR
             ( 99 * 2 ^ 232108 ) ^ 2 + 1 ,  139747 ,  Aug 2009 , Ian Bartholomew; srsieve; PrimeGrid; LLR
              ( 5 * 2 ^ 115914 ) ^ 4 + 1 ,  139578 ,  Dec 2008 , Simon Yakovlev; srsieve; PrimeGrid; LLR
            ( 27 * 618 ^ 24961 ) ^ 2 + 1 ,  139335 ,         - , CRUS
             ( 91 * 2 ^ 230038 ) ^ 2 + 1 ,  138501 ,  Jun 2009 , Alan J Hidy; srsieve; PrimeGrid; LLR
             ( 57 * 2 ^ 229165 ) ^ 2 + 1 ,  137975 ,  Jun 2009 , Bruno Courty; srsieve; PrimeGrid; LLR
           ( 1646 * 31 ^ 45841 ) ^ 2 + 1 ,  136738 ,         - , CRUS
             ( 29 * 2 ^ 226618 ) ^ 2 + 1 ,  136441 ,  Dec 2008 , Lennart Vogel; srsieve; PrimeGrid; LLR
             ( 91 * 2 ^ 224694 ) ^ 2 + 1 ,  135284 ,  Jan 2013 , Gary Harris; PPSE; PrimeGrid
             ( 95 * 2 ^ 213771 ) ^ 2 + 1 ,  128707 ,  Nov 2012 , Sami Heikkila; PPSE; PrimeGrid
           ( 4425 * 2 ^ 213446 ) ^ 2 + 1 ,  128515 ,  Dec 2006 , Kimihisa Ayuha; NewPGen; PRP; OpenPFGW
           ( 270 * 162 ^ 14531 ) ^ 4 + 1 ,  128436 ,         - , CRUS
              ( 3 * 2 ^ 105158 ) ^ 4 + 1 ,  126625 ,  Aug 2006 , Tadashi Taura; Proth
            ( 182 * 35 ^ 40539 ) ^ 2 + 1 ,  125195 ,         - , CRUS
           ( 162 * 972 ^ 20901 ) ^ 2 + 1 ,  124895 ,         - , CRUS
              ( 3 * 2 ^ 206017 ) ^ 2 + 1 ,  124036 ,  May 2003 , Takahiro Nohara; Proth
             ( 8 * 830 ^ 20993 ) ^ 2 + 1 ,  122563 ,         - , CRUS
              ( 7 * 2 ^ 203407 ) ^ 2 + 1 ,  122465 ,  Jan 2003 , Payam Samidoost; FermFact; PRP; OpenPFGW
             ( 31 * 2 ^ 203348 ) ^ 2 + 1 ,  122431 ,  Apr 2007 , Steven Harvey; FermFact; OpenPFGW
            ( 34 * 578 ^ 22082 ) ^ 2 + 1 ,  121981 ,         - , CRUS
             ( 51 * 2 ^ 201870 ) ^ 2 + 1 ,  121542 ,  Jul 2012 , Dirk Dhuyvetters; PPSE; PrimeGrid
             ( 21 * 2 ^ 200222 ) ^ 2 + 1 ,  120549 ,  Sep 2005 , Thierry Gaillard; Proth
             ( 41 * 2 ^ 200160 ) ^ 2 + 1 ,  120512 ,  Aug 2007 , Steven Harvey; FermFact; OpenPFGW
             ( 99 * 2 ^ 199858 ) ^ 2 + 1 ,  120331 ,  Jul 2012 , Dirk Dhuyvetters; PPSE; PrimeGrid
            ( 20 * 958 ^ 20172 ) ^ 2 + 1 ,  120283 ,         - , CRUS
             ( 33 * 2 ^ 199487 ) ^ 2 + 1 ,  120107 ,  May 2007 , Peter Benson; FermFact; LLR
             ( 29 * 2 ^ 198014 ) ^ 2 + 1 ,  119220 ,  Oct 2007 , Steven Harvey; FermFact; OpenPFGW
           ( 4425 * 2 ^ 196259 ) ^ 2 + 1 ,  118167 ,  Jan 2007 , Kimihisa Ayuha; NewPGen; LLR
           ( 134 * 808 ^ 20098 ) ^ 2 + 1 ,  116871 ,         - , CRUS
            ( 54 * 999 ^ 19350 ) ^ 2 + 1 ,  116087 ,         - , CRUS
              ( 3 * 2 ^ 192495 ) ^ 2 + 1 ,  115895 ,  Feb 2002 , Takahiro Nohara; Proth
            ( 20 * 431 ^ 21866 ) ^ 2 + 1 ,  115214 ,         - , CRUS
             ( 15 * 2 ^ 189276 ) ^ 2 + 1 ,  113958 ,  Apr 2005 , Jim Fougeron; OpenPFGW
             ( 2 * 518 ^ 10469 ) ^ 4 + 1 ,  113667 ,         - , CRUS
              ( 5 * 2 ^ 23502 ) ^ 16 + 1 ,  113209 ,  Mar 2007 , Geoffrey Reynolds; srsieve; LLR
             ( 51 * 2 ^ 187800 ) ^ 2 + 1 ,  113071 ,  Jun 2012 , Bart Kus; PPSE; PrimeGrid
           ( 111 * 490 ^ 21004 ) ^ 2 + 1 ,  113014 ,         - , CRUS
            ( 47 * 270 ^ 23237 ) ^ 2 + 1 ,  112999 ,         - , CRUS
             ( 27 * 2 ^ 187327 ) ^ 2 + 1 ,  112785 ,  Aug 2007 , Steven Harvey; FermFact; OpenPFGW
           ( 4425 * 2 ^ 187205 ) ^ 2 + 1 ,  112716 ,  Dec 2006 , Kimihisa Ayuha; NewPGen; LLR
             ( 57 * 2 ^ 187167 ) ^ 2 + 1 ,  112690 ,  Jun 2012 , Ronny Willig; PPSE; PrimeGrid
            ( 84 * 973 ^ 18746 ) ^ 2 + 1 ,  112035 ,         - , CRUS
             ( 75 * 2 ^ 185739 ) ^ 2 + 1 ,  111830 ,  May 2012 , Bart Kus; PPSE; PrimeGrid
            ( 46 * 502 ^ 20684 ) ^ 2 + 1 ,  111727 ,         - , CRUS
             ( 47 * 2 ^ 185013 ) ^ 2 + 1 ,  111393 ,  Mar 2008 , Jun Tajima; NewPGen; PRP; Proth
              ( 5 * 2 ^ 183647 ) ^ 2 + 1 ,  110568 ,  Mar 2004 , Curtis Cooper; NewPGen; PRP; Proth
             ( 73 * 2 ^ 182963 ) ^ 2 + 1 ,  110159 ,  May 2012 , PPSE; PrimeGrid
             ( 31 * 2 ^ 182824 ) ^ 2 + 1 ,  110074 ,  Jan 2008 , Steven Harvey; FermFact; OpenPFGW
              ( 3 * 2 ^ 22560 ) ^ 16 + 1 ,  108668 ,  Sep 2006 , Geoffrey Reynolds; srsieve; LLR
             ( 74 * 39 ^ 33747 ) ^ 2 + 1 ,  107392 ,         - , CRUS
             ( 55 * 2 ^ 174049 ) ^ 2 + 1 ,  104792 ,  Apr 2012 , Brian Carpenter; PPSE; PrimeGrid
            ( 129 * 24 ^ 37938 ) ^ 2 + 1 ,  104730 ,         - , CRUS
              ( 2 * 10 ^ 51979 ) ^ 2 + 1 ,  103959 ,  Dec 2004 , Peter Benson; NewPGen; OpenPFGW; Proth
               ( 5 * 2 ^ 84713 ) ^ 4 + 1 ,  102008 ,  Feb 2008 , Steven Harvey; srsieve; PRP; OpenPFGW
             ( 41 * 2 ^ 168234 ) ^ 2 + 1 ,  101291 ,  Nov 2006 , Steven Harvey; FermFact; OpenPFGW
             ( 17 * 2 ^ 166703 ) ^ 2 + 1 ,  100368 ,  Apr 2007 , Ruediger K. Eckhard; LLR
             ( 62 * 3 ^ 105175 ) ^ 2 + 1 ,  100367 ,         - , CRUS
             ( 15 * 2 ^ 165995 ) ^ 2 + 1 ,   99942 ,  Mar 2005 , Jim Fougeron; OpenPFGW
           ( 4425 * 2 ^ 165121 ) ^ 2 + 1 ,   99421 ,  Nov 2006 , Kimihisa Ayuha; NewPGen; LLR
           ( 4425 * 2 ^ 164593 ) ^ 2 + 1 ,   99103 ,  Nov 2006 , Kimihisa Ayuha; NewPGen; LLR
               ( 3 * 2 ^ 79117 ) ^ 4 + 1 ,   95269 ,  Sep 2002 , Tadashi Taura; Proth
              ( 67 * 2 ^ 38633 ) ^ 8 + 1 ,   93053 ,  Feb 2007 , Geoffrey Reynolds; srsieve; LLR
             ( 37 * 2 ^ 151921 ) ^ 2 + 1 ,   91469 ,  Dec 2005 , Peter Benson; FermFact; LLR
              ( 5 * 2 ^ 151097 ) ^ 2 + 1 ,   90971 ,  Nov 2003 , Payam Samidoost; FermFact; PRP; OpenPFGW
              ( 53 * 2 ^ 37463 ) ^ 8 + 1 ,   90234 ,  Jan 2007 , Geoffrey Reynolds; srsieve; LLR
             ( 19 * 2 ^ 146300 ) ^ 2 + 1 ,   88084 ,  Dec 2005 , Steven Harvey; FermFact; OpenPFGW
            ( 2 * 65537 ^ 9119 ) ^ 2 + 1 ,   87844 ,  Nov 2004 , Kazuyoshi Asao; Proth
             ( 105 * 2 ^ 72503 ) ^ 4 + 1 ,   87311 ,  Apr 2005 , Jay Berg; Proth
           ( 4425 * 2 ^ 142917 ) ^ 2 + 1 ,   86052 ,  Jan 2006 , Kimihisa Ayuha; NewPGen; PRP; OpenPFGW
             ( 19 * 2 ^ 140364 ) ^ 2 + 1 ,   84511 ,  Dec 2005 , Steven Harvey; FermFact; OpenPFGW
              ( 2 * 97 ^ 20777 ) ^ 2 + 1 ,   82559 ,  Jul 2006 , Peter Benson; NewPGen; OpenPFGW
              ( 2 * 88 ^ 21087 ) ^ 2 + 1 ,   82008 ,  Jul 2006 , Peter Benson; NewPGen; OpenPFGW
             ( 11 * 2 ^ 136026 ) ^ 2 + 1 ,   81898 ,  Feb 2005 , Jim Fougeron; OpenPFGW
              ( 10 * 3 ^ 85283 ) ^ 2 + 1 ,   81383 ,  Jun 2006 , Peter Benson; NewPGen; OpenPFGW
              ( 2 * 88 ^ 20611 ) ^ 2 + 1 ,   80157 ,  May 2006 , Peter Benson; NewPGen; OpenPFGW
             ( 11 * 2 ^ 132316 ) ^ 2 + 1 ,   79665 ,  Feb 2005 , Jim Fougeron; OpenPFGW
             ( 23 * 2 ^ 130731 ) ^ 2 + 1 ,   78711 ,  Sep 2005 , Dennis Okon; Proth
             ( 17 * 2 ^ 126429 ) ^ 2 + 1 ,   76121 ,  Feb 2005 , Jim Fougeron; OpenPFGW
             ( 11 * 2 ^ 125592 ) ^ 2 + 1 ,   75617 ,  Sep 2002 , Tadashi Taura; Proth
              ( 6 * 18 ^ 29518 ) ^ 2 + 1 ,   74108 ,  Sep 2005 , Peter Benson; NewPGen; OpenPFGW
               ( 2 * 5 ^ 26129 ) ^ 4 + 1 ,   73055 ,  Apr 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
             ( 29 * 2 ^ 119988 ) ^ 2 + 1 ,   72243 ,  Jul 2005 , Steven Harvey; FermFact; OpenPFGW
             ( 15 * 2 ^ 119863 ) ^ 2 + 1 ,   72168 ,  Oct 2003 , Jay Berg; Proth
               ( 5 * 6 ^ 45773 ) ^ 2 + 1 ,   71239 ,  Mar 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
               ( 9 * 6 ^ 45547 ) ^ 2 + 1 ,   70887 ,  Mar 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
             ( 33 * 2 ^ 117617 ) ^ 2 + 1 ,   70816 ,  Dec 2003 , Raffi Chaglassian; 'K' sieves; OpenPFGW
              ( 3 * 10 ^ 35250 ) ^ 2 + 1 ,   70501 ,  Mar 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
              ( 6 * 10 ^ 35129 ) ^ 2 + 1 ,   70260 ,  Mar 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
               ( 8 * 7 ^ 41275 ) ^ 2 + 1 ,   69765 ,  Feb 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
             ( 13 * 2 ^ 111795 ) ^ 2 + 1 ,   67310 ,  Oct 2004 , Jim Fougeron; OpenPFGW
             ( 37 * 2 ^ 111157 ) ^ 2 + 1 ,   66927 ,  Aug 2005 , Peter Benson; NewPGen; LLR
             ( 19 * 2 ^ 111146 ) ^ 2 + 1 ,   66920 ,  Sep 2004 , Martin Weil; Proth
              ( 3 * 10 ^ 33443 ) ^ 2 + 1 ,   66887 ,  Dec 2004 , Peter Benson; NewPGen; OpenPFGW; Proth
             ( 29 * 2 ^ 110772 ) ^ 2 + 1 ,   66695 ,  May 2005 , Steven Harvey; FermFact; OpenPFGW
              ( 2 * 85 ^ 16865 ) ^ 2 + 1 ,   65080 ,  Nov 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 5 * 2 ^ 108046 ) ^ 2 + 1 ,   65052 ,  Jan 2001 , Nestor Sergio de Araujo Melo; Proth
               ( 3 * 2 ^ 53524 ) ^ 4 + 1 ,   64452 ,  Oct 2001 , Tadashi Taura; Proth
             ( 15 * 2 ^ 106091 ) ^ 2 + 1 ,   63876 ,  Oct 2003 , Jay Berg; Proth
           ( 4461 * 2 ^ 106060 ) ^ 2 + 1 ,   63862 ,  Dec 2004 , Toshihiro Ohigashi; Proth
             ( 35 * 2 ^ 104627 ) ^ 2 + 1 ,   62995 ,  May 2001 , Thomas J. Engelsma; Proth
               ( 8 * 7 ^ 37075 ) ^ 2 + 1 ,   62666 ,  Oct 2004 , Peter Benson; NewPGen; OpenPFGW
             ( 17 * 2 ^ 103773 ) ^ 2 + 1 ,   62481 ,  Dec 2004 , Jim Fougeron; OpenPFGW
             ( 105 * 2 ^ 51875 ) ^ 4 + 1 ,   62472 ,  Feb 2005 , Jay Berg; Proth
              ( 2 * 257 ^ 3240 ) ^ 8 + 1 ,   62468 ,  Oct 2002 , Kazuyoshi Asao; Proth
             ( 27 * 2 ^ 101875 ) ^ 2 + 1 ,   61338 ,  Mar 2005 , Steven Harvey; FermFact; OpenPFGW
              ( 2 * 55 ^ 17355 ) ^ 2 + 1 ,   60409 ,  Apr 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 5 * 30 ^ 20374 ) ^ 2 + 1 ,   60192 ,  Jul 2005 , Peter Benson; NewPGen; OpenPFGW
            ( 4461 * 2 ^ 99426 ) ^ 2 + 1 ,   59868 ,  Nov 2004 , Toshihiro Ohigashi; Proth
            ( 4425 * 2 ^ 98957 ) ^ 2 + 1 ,   59586 ,  Dec 2004 , Kimihisa Ayuha; NewPGen; PRP; OpenPFGW
              ( 7 * 10 ^ 29354 ) ^ 2 + 1 ,   58710 ,  Jul 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 17 * 2 ^ 97415 ) ^ 2 + 1 ,   58653 ,  Jan 2003 , Greg Childers; OpenPFGW
               ( 3 * 2 ^ 47516 ) ^ 4 + 1 ,   57217 ,  May 2001 , Nestor Sergio de Araujo Melo; Proth
             ( 105 * 2 ^ 46649 ) ^ 4 + 1 ,   56180 ,  Feb 2005 , Jay Berg; Proth
               ( 6 * 5 ^ 39802 ) ^ 2 + 1 ,   55643 ,  Jul 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 2 * 45 ^ 16725 ) ^ 2 + 1 ,   55301 ,  Jan 2005 , Peter Benson; NewPGen; OpenPFGW; Proth
              ( 2 * 55 ^ 15739 ) ^ 2 + 1 ,   54784 ,  Feb 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 29 * 2 ^ 89566 ) ^ 2 + 1 ,   53928 ,  Dec 2002 , Anton Oleynick; Proth
            ( 2 * 17257 ^ 6351 ) ^ 2 + 1 ,   53819 ,  Jan 2004 , Jean-Christophe Lambry; Proth
              ( 2 * 35 ^ 17331 ) ^ 2 + 1 ,   53522 ,  Dec 2004 , Peter Benson; NewPGen; OpenPFGW; Proth
               ( 8 * 5 ^ 38129 ) ^ 2 + 1 ,   53304 ,  Jun 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 37 * 2 ^ 86895 ) ^ 2 + 1 ,   52320 ,  Oct 2003 , Anton Oleynick; Proth
               ( 2 * 3 ^ 26862 ) ^ 4 + 1 ,   51267 ,  Mar 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 11 * 2 ^ 84358 ) ^ 2 + 1 ,   50791 ,  Jul 2002 , Tadashi Taura; Proth
               ( 3 * 6 ^ 15813 ) ^ 4 + 1 ,   49222 ,  May 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 31 * 2 ^ 81652 ) ^ 2 + 1 ,   49163 ,  Mar 2002 , Anton Oleynick; Proth
               ( 2 * 5 ^ 35065 ) ^ 2 + 1 ,   49020 ,  May 2004 , Peter Benson; NewPGen; OpenPFGW
              ( 35 * 2 ^ 81389 ) ^ 2 + 1 ,   49005 ,  May 2001 , Thomas J. Engelsma; Proth
              ( 15 * 2 ^ 81360 ) ^ 2 + 1 ,   48986 ,  Oct 2003 , Jay Berg; Proth
             ( 119 * 2 ^ 80008 ) ^ 2 + 1 ,   48174 ,  Oct 2002 , Ian J Brown; OpenPFGW
               ( 5 * 2 ^ 77127 ) ^ 2 + 1 ,   46437 ,  Sep 1999 , Peter JH Dodson; Proth
             ( 555 * 2 ^ 75000 ) ^ 2 + 1 ,   45160 ,  Sep 2003 , Peter Grobstich; NewPGen; PRP; Proth
               ( 5 * 2 ^ 74030 ) ^ 2 + 1 ,   44572 ,  Nov 1999 , Sturle Sunde; Proth
             ( 13 * 720 ^ 7586 ) ^ 2 + 1 ,   43354 ,  Feb 2003 , Hans Rosenthal; NewPGen; Proth
             ( 15 * 720 ^ 7583 ) ^ 2 + 1 ,   43337 ,  Jan 2003 , Hans Rosenthal; NewPGen; Proth
              ( 21 * 2 ^ 68894 ) ^ 2 + 1 ,   41481 ,  Aug 2001 , Jim Fougeron; FermFact; OpenPFGW
              ( 21 * 2 ^ 66790 ) ^ 2 + 1 ,   40215 ,  Jun 2001 , Jim Fougeron; FermFact; OpenPFGW
              ( 23 * 2 ^ 66657 ) ^ 2 + 1 ,   40135 ,  Aug 2001 , Jim Fougeron; FermFact; OpenPFGW
              ( 2 * 10 ^ 18495 ) ^ 2 + 1 ,   36991 ,  Aug 2003 , Peter Benson; NewPGen; PRP; OpenPFGW
              ( 35 * 2 ^ 61152 ) ^ 2 + 1 ,   36821 ,  May 2001 , Thomas J. Engelsma; Proth
            ( 600 * 720 ^ 6262 ) ^ 2 + 1 ,   35791 ,  Feb 2003 , Hans Rosenthal; NewPGen; Proth
               ( 3 * 2 ^ 57427 ) ^ 2 + 1 ,   34576 ,  Aug 1995 , Jeffrey Young
               ( 7 * 2 ^ 56511 ) ^ 2 + 1 ,   34025 ,  Oct 1998 , John Renze; Proth
              ( 11 * 2 ^ 56104 ) ^ 2 + 1 ,   33781 ,  Dec 1999 , Fumitaka Yura; Proth
               ( 2 * 17 ^ 6727 ) ^ 4 + 1 ,   33111 ,  Jun 2002 , Kazuyoshi Asao; Proth
              ( 13 * 2 ^ 54833 ) ^ 2 + 1 ,   33015 ,  Jun 2000 , Michael W. O'Brien; Proth
               ( 3 * 2 ^ 27087 ) ^ 4 + 1 ,   32618 ,  Jul 1998 , Ray Ballinger; Proth
              ( 19 * 2 ^ 52566 ) ^ 2 + 1 ,   31651 ,  Nov 2001 , Anton Oleynick; Proth
             ( 23 * 720 ^ 5493 ) ^ 2 + 1 ,   31394 ,  Apr 2002 , Hans Rosenthal; NewPGen; Proth
              ( 17 * 2 ^ 51075 ) ^ 2 + 1 ,   30753 ,  Dec 1999 , Ruediger K. Eckhard; Proth
              ( 4 * 720 ^ 5319 ) ^ 2 + 1 ,   30398 ,  Jan 2002 , Hans Rosenthal; NewPGen; Proth
           ( 24759 * 2 ^ 24760 ) ^ 4 + 1 ,   29832 ,  Dec 2001 , Kazuyoshi Asao; OpenPFGW
             ( 60 * 720 ^ 1300 ) ^ 8 + 1 ,   29731 ,  Sep 2001 , Hans Rosenthal; NewPGen; Proth
              ( 4 * 720 ^ 2551 ) ^ 4 + 1 ,   29159 ,  May 2001 , Hans Rosenthal; NewPGen; Proth
              ( 19 * 2 ^ 48360 ) ^ 2 + 1 ,   29119 ,  Sep 2000 , Nestor Sergio de Araujo Melo; Proth
             ( 11 * 720 ^ 4892 ) ^ 2 + 1 ,   27959 ,  Apr 2002 , Hans Rosenthal; NewPGen; Proth
             ( 16 * 720 ^ 4861 ) ^ 2 + 1 ,   27782 ,  Feb 2002 , Hans Rosenthal; NewPGen; Proth
              ( 11 * 2 ^ 45556 ) ^ 2 + 1 ,   27430 ,  Sep 1999 , Michael Ian Hartley; Proth
              ( 31 * 2 ^ 44150 ) ^ 2 + 1 ,   26584 ,  Oct 2001 , Jim Fougeron; FermFact; OpenPFGW
               ( 7 * 2 ^ 44045 ) ^ 2 + 1 ,   26520 ,  Oct 1998 , John Renze; Proth
              ( 13 * 2 ^ 38467 ) ^ 2 + 1 ,   23162 ,  Apr 2000 , Ray Ballinger; Proth
               ( 7 * 2 ^ 36105 ) ^ 2 + 1 ,   21740 ,  Jun 1998 , Lars A Carlen; Proth
              ( 13 * 2 ^ 35055 ) ^ 2 + 1 ,   21108 ,  May 1998 , Lars A Carlen; Proth
             ( 12 * 720 ^ 3692 ) ^ 2 + 1 ,   21101 ,  Oct 2000 , Hans Rosenthal; NewPGen; Proth
              ( 35 * 2 ^ 34923 ) ^ 2 + 1 ,   21029 ,  May 2001 , Thomas J. Engelsma; Proth
               ( 2 * 13 ^ 9337 ) ^ 2 + 1 ,   20803 ,  Sep 1999 , Chris Caldwell; Proth
               ( 5 * 2 ^ 33436 ) ^ 2 + 1 ,   20132 ,  Aug 1995 , Jeffrey Young
             ( 11 * 720 ^ 3494 ) ^ 2 + 1 ,   19970 ,  Apr 2001 , Hans Rosenthal; NewPGen; Proth
            ( 120 * 720 ^ 1707 ) ^ 4 + 1 ,   19519 ,  Feb 2001 , Hans Rosenthal; NewPGen; Proth
              ( 13 * 2 ^ 31843 ) ^ 2 + 1 ,   19174 ,  Jun 1998 , Harvey Dubner; Proth
             ( 10 * 720 ^ 3188 ) ^ 2 + 1 ,   18221 ,  Nov 2000 , Hans Rosenthal; NewPGen; Proth
            ( 480 * 720 ^ 3172 ) ^ 2 + 1 ,   18133 ,  Feb 2001 , Hans Rosenthal; NewPGen; Proth
              ( 11 * 2 ^ 29598 ) ^ 2 + 1 ,   17822 ,  Jun 1998 , Wilfrid Keller; Proth
            ( 420 * 720 ^ 3047 ) ^ 2 + 1 ,   17418 ,  Nov 2000 , Hans Rosenthal; NewPGen; Proth
               ( 5 * 2 ^ 28744 ) ^ 2 + 1 ,   17308 ,  Aug 1995 , Jeffrey Young
              ( 15 * 2 ^ 26766 ) ^ 2 + 1 ,   16118 ,  Jan 1999 , Michael Hannigan; Proth
              ( 17 * 2 ^ 26307 ) ^ 2 + 1 ,   15841 ,  Oct 1998 , Daval Davis; Proth
              ( 15 * 2 ^ 25571 ) ^ 2 + 1 ,   15398 ,  Jan 1999 , Michael Hannigan; Proth
               ( 3 * 2 ^ 24951 ) ^ 2 + 1 ,   15023 ,  Oct 1993 , Jeffrey Young
              ( 13 * 2 ^ 24801 ) ^ 2 + 1 ,   14934 ,  Jun 1998 , Harvey Dubner; Dubner Cruncher
               ( 7 * 2 ^ 24333 ) ^ 2 + 1 ,   14652 ,  Aug 1995 , Jeffrey Young
           ( 24235 * 2 ^ 24236 ) ^ 2 + 1 ,   14601 ,  Dec 2000 , Mike Oakes; OpenPFGW
               ( 2 * 5 ^ 10231 ) ^ 2 + 1 ,   14303 ,  Jul 2000 , Roberto E. Martinez II; Proth
            ( 660 * 720 ^ 2447 ) ^ 2 + 1 ,   13990 ,  Jan 2000 , Hans Rosenthal; NewPGen; Proth
                ( 2 * 7 ^ 8237 ) ^ 2 + 1 ,   13923 ,  Nov 1998 , David W Linton; Proth
             ( 60 * 720 ^ 1189 ) ^ 4 + 1 ,   13597 ,  Nov 1999 , Hans Rosenthal; NewPGen; Proth
             ( 22 * 720 ^ 2374 ) ^ 2 + 1 ,   13570 ,  Nov 1999 , Hans Rosenthal; NewPGen; Proth
             ( 105 * 2 ^ 10921 ) ^ 4 + 1 ,   13159 ,  May 1998 , Henri Lifchitz; Proth
            ( 4095 * 2 ^ 21756 ) ^ 2 + 1 ,   13106 ,  Aug 1998 , Henri Lifchitz; Proth
            ( 540 * 720 ^ 2238 ) ^ 2 + 1 ,   12795 ,  Nov 1999 , Hans Rosenthal; NewPGen; Proth
            ( 420 * 720 ^ 2216 ) ^ 2 + 1 ,   12669 ,  Oct 1999 , Hans Rosenthal; NewPGen; Proth
              ( 45 * 2 ^ 20870 ) ^ 2 + 1 ,   12569 ,  Aug 1997 , Henri Lifchitz; Proth
            ( 420 * 720 ^ 2191 ) ^ 2 + 1 ,   12527 ,  Oct 1999 , Hans Rosenthal; NewPGen; Proth
             ( 26 * 720 ^ 2164 ) ^ 2 + 1 ,   12370 ,  Jan 2000 , Hans Rosenthal; NewPGen; Proth
                ( 3 * 2 ^ 9951 ) ^ 4 + 1 ,   11985 ,  Mar 1997 , Patrick Demichel
              ( 6 * 720 ^ 2096 ) ^ 2 + 1 ,   11980 ,  Oct 1999 , Hans Rosenthal; NewPGen; Proth
            ( 4095 * 2 ^ 19586 ) ^ 2 + 1 ,   11800 ,  Aug 1998 , Henri Lifchitz; Proth
               ( 3 * 2 ^ 19593 ) ^ 2 + 1 ,   11798 ,      1992 , Harvey Dubner; Dubner Cruncher
              ( 33 * 2 ^ 19337 ) ^ 2 + 1 ,   11646 ,  Oct 2001 , Nestor Sergio de Araujo Melo; Proth
              ( 11 * 2 ^ 18892 ) ^ 2 + 1 ,   11377 ,  Jun 1998 , Wilfrid Keller; Proth
               ( 2 * 83 ^ 2935 ) ^ 2 + 1 ,   11266 ,  Jan 1999 , Michael Bell; Proth
              ( 19 * 2 ^ 18642 ) ^ 2 + 1 ,   11227 ,  Jun 1999 , Stephen Scott; Proth
             ( 23 * 720 ^ 1954 ) ^ 2 + 1 ,   11170 ,  Sep 1999 , Hans Rosenthal; NewPGen; Proth
              ( 15 * 2 ^ 18372 ) ^ 2 + 1 ,   11064 ,  Feb 1998 , Charles F. Kerchner III; Proth
            ( 4095 * 2 ^ 18290 ) ^ 2 + 1 ,   11019 ,  Aug 1998 , Henri Lifchitz; Proth
            ( 4095 * 2 ^ 17036 ) ^ 2 + 1 ,   10264 ,  Jul 1998 , Henri Lifchitz; Proth
              ( 105 * 2 ^ 8398 ) ^ 4 + 1 ,   10121 ,  Apr 1998 , Henri Lifchitz; Proth
             ( 585 * 2 ^ 16714 ) ^ 2 + 1 ,   10069 ,  Aug 1998 , Henri Lifchitz; Proth
              ( 27 * 2 ^ 16453 ) ^ 2 + 1 ,    9909 ,  Aug 1998 , David Hanson; Proth
            ( 3 * 35000 ^ 1049 ) ^ 2 + 1 ,    9535 ,  May 1999 , Markus Frind; Proth
              ( 23 * 2 ^ 15705 ) ^ 2 + 1 ,    9459 ,  Jul 1998 , Tadashi Taura; Proth
            ( 7545 * 2 ^ 15092 ) ^ 2 + 1 ,    9095 ,  Sep 1997 , Henri Lifchitz; Proth
              ( 33 * 2 ^ 14491 ) ^ 2 + 1 ,    8728 ,  Sep 1998 , Tadashi Taura; Proth
            ( 4095 * 2 ^ 14392 ) ^ 2 + 1 ,    8673 ,  Jul 1998 , Henri Lifchitz; Proth
                ( 3 * 2 ^ 7061 ) ^ 4 + 1 ,    8505 ,      1996 , Patrick Demichel
               ( 2 * 83 ^ 1091 ) ^ 4 + 1 ,    8377 ,  Jan 1999 , Michael Bell; Proth
              ( 15 * 2 ^ 13463 ) ^ 2 + 1 ,    8108 ,  Mar 1998 , Ray Ballinger; Proth
              ( 15 * 2 ^ 13372 ) ^ 2 + 1 ,    8054 ,  Mar 1998 , Ray Ballinger; Proth
                ( 2 * 7 ^ 2333 ) ^ 4 + 1 ,    7888 ,  Apr 1999 , Wilfrid Keller; Proth
                ( 9 * 2 ^ 3239 ) ^ 8 + 1 ,    7808 ,  Jul 1997 , Henri Lifchitz; Proth
            ( 4095 * 2 ^ 12820 ) ^ 2 + 1 ,    7726 ,  Jul 1998 , Henri Lifchitz; Proth
              ( 22 * 12 ^ 3517 ) ^ 2 + 1 ,    7594 ,  Nov 1998 , David Hanson; Proth
               ( 3 * 2 ^ 12211 ) ^ 2 + 1 ,    7353 ,  Oct 1992 , Harvey Dubner; Dubner Cruncher
              ( 105 * 2 ^ 5639 ) ^ 4 + 1 ,    6799 ,  Apr 1998 , Henri Lifchitz; Proth
              ( 15 * 2 ^ 10968 ) ^ 2 + 1 ,    6606 ,  Oct 1996 , Patrick Demichel
              ( 35 * 2 ^ 10449 ) ^ 2 + 1 ,    6295 ,  Oct 1996 , Patrick Demichel
            ( 4095 * 2 ^ 10276 ) ^ 2 + 1 ,    6194 ,  Jul 1998 , Henri Lifchitz; Proth
              ( 69 * 2 ^ 10088 ) ^ 2 + 1 ,    6078 ,  Oct 1996 , Patrick Demichel
              ( 157 * 2 ^ 9871 ) ^ 2 + 1 ,    5948 ,  Nov 1998 , Reinhard F. Stenzel; Proth
               ( 15 * 2 ^ 9868 ) ^ 2 + 1 ,    5944 ,  Oct 1996 , Patrick Demichel
              ( 585 * 2 ^ 9824 ) ^ 2 + 1 ,    5921 ,  Jul 1998 , Henri Lifchitz; Proth
               ( 51 * 2 ^ 9796 ) ^ 2 + 1 ,    5902 ,  Oct 1996 , Patrick Demichel
               ( 71 * 2 ^ 9426 ) ^ 2 + 1 ,    5679 ,  May 1998 , Steffen Polster; Proth
               ( 71 * 2 ^ 9398 ) ^ 2 + 1 ,    5662 ,  May 1998 , Steffen Polster; Proth
               ( 39 * 2 ^ 9366 ) ^ 2 + 1 ,    5643 ,  Oct 1996 , Patrick Demichel
               ( 57 * 2 ^ 9365 ) ^ 2 + 1 ,    5642 ,  Oct 1996 , Patrick Demichel
               ( 65 * 2 ^ 9341 ) ^ 2 + 1 ,    5628 ,  Oct 1996 , Patrick Demichel
               ( 17 * 2 ^ 9251 ) ^ 2 + 1 ,    5573 ,      1984 , Wilfrid Keller
               ( 29 * 2 ^ 9068 ) ^ 2 + 1 ,    5463 ,  Jun 1998 , Ray Ballinger; Proth
              ( 585 * 2 ^ 8975 ) ^ 2 + 1 ,    5410 ,  Jul 1998 , Henri Lifchitz; Proth
               ( 29 * 2 ^ 8926 ) ^ 2 + 1 ,    5377 ,  Jul 1996 , Patrick Demichel
            ( 19683 * 2 ^ 8407 ) ^ 2 + 1 ,    5071 ,  Nov 1997 , Wendy Hecate Hartman; Proth
               ( 23 * 2 ^ 8283 ) ^ 2 + 1 ,    4990 ,  Mar 1998 , Charles F. Kerchner III; Proth
                ( 5 * 2 ^ 4021 ) ^ 4 + 1 ,    4845 ,  Feb 1998 , Charles F. Kerchner III; Proth
               ( 71 * 2 ^ 7826 ) ^ 2 + 1 ,    4716 ,  May 1998 , Steffen Polster; Proth
                ( 2 * 3 ^ 4801 ) ^ 2 + 1 ,    4582 ,  Dec 1996 , Chris Caldwell; Dubner Cruncher
              ( 141 * 2 ^ 7504 ) ^ 2 + 1 ,    4523 ,  Dec 1997 , Henri Lifchitz; Proth
               ( 47 * 2 ^ 7325 ) ^ 2 + 1 ,    4414 ,  Mar 1998 , Baptiste Heyman; Proth
               ( 37 * 2 ^ 7325 ) ^ 2 + 1 ,    4414 ,  Mar 1998 , Baptiste Heyman; Proth
                ( 5 * 2 ^ 3616 ) ^ 4 + 1 ,    4357 ,  Feb 1998 , Ray Ballinger; Proth
               ( 33 * 2 ^ 7231 ) ^ 2 + 1 ,    4357 ,  Jan 1998 , Jim Buddenhagen; Proth
            ( 11111 * 2 ^ 7030 ) ^ 2 + 1 ,    4241 ,  Aug 1997 , Andy Penrose; Proth
               ( 13 * 2 ^ 7013 ) ^ 2 + 1 ,    4225 ,  Jan 1998 , Jim Buddenhagen; Proth
                ( 3 * 2 ^ 3501 ) ^ 4 + 1 ,    4218 ,  Oct 1993 , Harvey Dubner; Dubner Cruncher
            ( 11111 * 2 ^ 6890 ) ^ 2 + 1 ,    4157 ,  Aug 1997 , Andy Penrose; Proth
               ( 45 * 2 ^ 6637 ) ^ 2 + 1 ,    4000 ,  Jul 1997 , Henri Lifchitz; Proth
              ( 125 * 2 ^ 3224 ) ^ 4 + 1 ,    3891 ,  Nov 1997 , Wendy Hecate Hartman; Proth
             ( 3219 * 2 ^ 6440 ) ^ 2 + 1 ,    3885 ,  Sep 1997 , Henri Lifchitz; Proth
             ( 6485 * 2 ^ 6337 ) ^ 2 + 1 ,    3823 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
                ( 7 * 2 ^ 5929 ) ^ 2 + 1 ,    3572 ,      1991 , Wilfrid Keller
            ( 11111 * 2 ^ 5870 ) ^ 2 + 1 ,    3543 ,  Aug 1997 , Andy Penrose; Proth
               ( 45 * 2 ^ 5767 ) ^ 2 + 1 ,    3476 ,  Jul 1997 , Henri Lifchitz; Proth
               ( 3 * 30 ^ 1166 ) ^ 2 + 1 ,    3446 ,  Oct 1994 , Chris Caldwell; Dubner Cruncher
               ( 55 * 2 ^ 5606 ) ^ 2 + 1 ,    3379 ,  May 1996 , Patrick Demichel
            ( 11111 * 2 ^ 5318 ) ^ 2 + 1 ,    3210 ,  Aug 1997 , Andy Penrose; Proth
              ( 869 * 2 ^ 2491 ) ^ 4 + 1 ,    3012 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
             ( 5555 * 2 ^ 2488 ) ^ 4 + 1 ,    3011 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
             ( 5213 * 2 ^ 2488 ) ^ 4 + 1 ,    3011 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
             ( 2341 * 2 ^ 2489 ) ^ 4 + 1 ,    3011 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
             ( 2319 * 2 ^ 2489 ) ^ 4 + 1 ,    3011 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
             ( 1975 * 2 ^ 2489 ) ^ 4 + 1 ,    3011 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
             ( 2081 * 2 ^ 2488 ) ^ 4 + 1 ,    3010 ,      1983 , A. Oliver L. Atkin; Neil W. Rickert
              ( 347 * 2 ^ 4961 ) ^ 2 + 1 ,    2992 ,      1980 , A. Oliver L. Atkin; Neil W. Rickert
               ( 13 * 2 ^ 4807 ) ^ 2 + 1 ,    2897 ,      1993 , Harvey Dubner; Dubner Cruncher
                ( 5 * 2 ^ 4761 ) ^ 2 + 1 ,    2868 ,      1983 , Wilfrid Keller
               ( 19 * 2 ^ 4572 ) ^ 2 + 1 ,    2756 ,      1993 , Harvey Dubner; Dubner Cruncher
                ( 3 * 2 ^ 2128 ) ^ 4 + 1 ,    2565 ,  May 1996 , Patrick Demichel
               ( 35 * 2 ^ 4168 ) ^ 2 + 1 ,    2513 ,  May 1996 , Patrick Demichel
               ( 47 * 2 ^ 4163 ) ^ 2 + 1 ,    2510 ,  May 1996 , Patrick Demichel
              ( 131 * 2 ^ 4104 ) ^ 2 + 1 ,    2476 ,  May 1996 , Patrick Demichel
               ( 11 * 2 ^ 3964 ) ^ 2 + 1 ,    2389 ,      1992 , Harvey Dubner; Dubner Cruncher
              ( 105 * 2 ^ 3875 ) ^ 2 + 1 ,    2338 ,  May 1996 , Patrick Demichel
               ( 45 * 2 ^ 3848 ) ^ 2 + 1 ,    2321 ,  May 1996 , Patrick Demichel
                ( 7 * 2 ^ 3723 ) ^ 2 + 1 ,    2244 ,      1983 , Wilfrid Keller
               ( 59 * 2 ^ 3716 ) ^ 2 + 1 ,    2241 ,  May 1996 , Patrick Demichel
               ( 27 * 2 ^ 3703 ) ^ 2 + 1 ,    2233 ,      1993 , Harvey Dubner; Dubner Cruncher
              ( 147 * 2 ^ 3689 ) ^ 2 + 1 ,    2226 ,  May 1996 , Patrick Demichel
               ( 65 * 2 ^ 3653 ) ^ 2 + 1 ,    2203 ,  May 1996 , Patrick Demichel
               ( 51 * 2 ^ 3636 ) ^ 2 + 1 ,    2193 ,  May 1996 , Patrick Demichel
               ( 75 * 2 ^ 3597 ) ^ 2 + 1 ,    2170 ,  May 1996 , Patrick Demichel
               ( 35 * 2 ^ 3596 ) ^ 2 + 1 ,    2169 ,  May 1996 , Patrick Demichel
               ( 45 * 2 ^ 3589 ) ^ 2 + 1 ,    2165 ,  May 1996 , Patrick Demichel
               ( 65 * 2 ^ 3548 ) ^ 2 + 1 ,    2140 ,  May 1996 , Patrick Demichel
               ( 53 * 2 ^ 3539 ) ^ 2 + 1 ,    2135 ,  Mar 1996 , Patrick Demichel
              ( 135 * 2 ^ 3493 ) ^ 2 + 1 ,    2108 ,  Mar 1996 , Patrick Demichel
               ( 85 * 2 ^ 3356 ) ^ 2 + 1 ,    2025 ,  Mar 1996 , Patrick Demichel
               ( 17 * 2 ^ 3353 ) ^ 2 + 1 ,    2022 ,  Mar 1996 , Patrick Demichel
              ( 187 * 2 ^ 3345 ) ^ 2 + 1 ,    2019 ,  Mar 1996 , Patrick Demichel
             ( 3501 * 2 ^ 3200 ) ^ 2 + 1 ,    1934 ,      1979 , A. Oliver L. Atkin; Neil W. Rickert
                ( 7 * 2 ^ 3121 ) ^ 2 + 1 ,    1881 ,      1983 , Wilfrid Keller
                ( 3 * 2 ^ 2901 ) ^ 2 + 1 ,    1748 ,      1979 , A. Oliver L. Atkin; Neil W. Rickert
                ( 3 * 2 ^ 1419 ) ^ 4 + 1 ,    1711 ,      1989 , Wilfrid Keller
                ( 2 * 3 ^ 1761 ) ^ 2 + 1 ,    1682 ,      1992 , Chris Caldwell; Dubner Cruncher
                ( 2 * 3 ^ 1653 ) ^ 2 + 1 ,    1578 ,      1992 , Chris Caldwell; Dubner Cruncher
                ( 5 * 2 ^ 2576 ) ^ 2 + 1 ,    1553 ,      1983 , Wilfrid Keller
               ( 13 * 2 ^ 2527 ) ^ 2 + 1 ,    1524 ,      1985 , Hiromi Suyama
                ( 6 * 18 ^ 584 ) ^ 2 + 1 ,    1468 ,  Aug 1996 , Carlos B. Rivera F.
               ( 57 * 2 ^ 2425 ) ^ 2 + 1 ,    1464 ,      1993 , Jeffrey Young
                ( 3 * 2 ^ 2421 ) ^ 2 + 1 ,    1459 ,      1983 , Wilfrid Keller
               ( 85 * 2 ^ 2377 ) ^ 2 + 1 ,    1435 ,      1993 , Jeffrey Young
               ( 97 * 2 ^ 2301 ) ^ 2 + 1 ,    1390 ,      1993 , Jeffrey Young
                ( 9 * 2 ^ 1111 ) ^ 4 + 1 ,    1342 ,      1993 , Jeffrey Young
               ( 65 * 2 ^ 2198 ) ^ 2 + 1 ,    1327 ,      1993 , Jeffrey Young
               ( 97 * 2 ^ 2151 ) ^ 2 + 1 ,    1300 ,      1993 , Jeffrey Young
               ( 83 * 2 ^ 2151 ) ^ 2 + 1 ,    1299 ,      1993 , Jeffrey Young
                ( 7 * 2 ^ 1045 ) ^ 4 + 1 ,    1262 ,      1993 , Jeffrey Young
               ( 93 * 2 ^ 2085 ) ^ 2 + 1 ,    1260 ,      1993 , Jeffrey Young
               ( 65 * 2 ^ 2076 ) ^ 2 + 1 ,    1254 ,      1993 , Jeffrey Young
               ( 57 * 2 ^ 2075 ) ^ 2 + 1 ,    1253 ,      1993 , Jeffrey Young
               ( 67 * 2 ^ 2071 ) ^ 2 + 1 ,    1251 ,      1993 , Jeffrey Young
               ( 79 * 2 ^ 2054 ) ^ 2 + 1 ,    1241 ,      1993 , Jeffrey Young
                ( 5 * 2 ^ 1969 ) ^ 2 + 1 ,    1187 ,      1979 , G. V. Cormack
                ( 5 * 2 ^ 1952 ) ^ 2 + 1 ,    1177 ,      1979 , G. V. Cormack
               ( 75 * 2 ^ 1914 ) ^ 2 + 1 ,    1157 ,      1993 , Jeffrey Young
               ( 55 * 2 ^ 1909 ) ^ 2 + 1 ,    1153 ,      1993 , Jeffrey Young
                ( 3 * 2 ^ 1845 ) ^ 2 + 1 ,    1112 ,      1979 , G. V. Cormack
               ( 99 * 2 ^ 1832 ) ^ 2 + 1 ,    1107 ,      1993 , Jeffrey Young
               ( 89 * 2 ^ 1818 ) ^ 2 + 1 ,    1099 ,      1993 , Jeffrey Young
               ( 59 * 2 ^ 1808 ) ^ 2 + 1 ,    1093 ,      1993 , Jeffrey Young
               ( 85 * 2 ^ 1772 ) ^ 2 + 1 ,    1071 ,      1993 , Jeffrey Young
               ( 67 * 2 ^ 1753 ) ^ 2 + 1 ,    1060 ,      1993 , Jeffrey Young
               ( 63 * 2 ^ 1751 ) ^ 2 + 1 ,    1058 ,      1993 , Jeffrey Young
                ( 3 * 10 ^ 519 ) ^ 2 + 1 ,    1039 ,      1984 , Harvey Dubner; Dubner Cruncher
               ( 95 * 2 ^ 1718 ) ^ 2 + 1 ,    1039 ,      1993 , Jeffrey Young
               ( 67 * 2 ^ 1709 ) ^ 2 + 1 ,    1033 ,      1993 , Jeffrey Young
               ( 75 * 2 ^ 1699 ) ^ 2 + 1 ,    1027 ,      1993 , Jeffrey Young
                ( 3 * 2 ^ 1677 ) ^ 2 + 1 ,    1011 ,      1979 , G. V. Cormack
              ( 299 * 2 ^ 1660 ) ^ 2 + 1 ,    1005 ,  Mar 1996 , Patrick Demichel
                ( 5 * 2 ^ 1657 ) ^ 2 + 1 ,    1000 ,      1979 , G. V. Cormack