History for AP3
Primes n's Digits When Discoverer

(503 • 2^1092022 − 1) + (1103 • 2^3558176 − 503 • 2^1092022) • n 0..2 1071122 31 Dec 2022 Ryan Propper & Serge Batalov, EMsieve, OpenPFGW

(3027 • 2⁹⁸⁸⁶⁵⁸ + 1) + (2109 • 2^3423797 − 3027 • 2⁹⁸⁸⁶⁵⁸) • n 0..2 1030670 2 Jan 2023 Ryan Propper & Serge Batalov, EMsieve, OpenPFGW, CHG

(143157 • 2^2144728 + 1) + (2895 • 2^3422030 − 143157 • 2^2144728) • n 0..2 1030138 3 Jan 2023 Ryan Propper & Serge Batalov, EMsieve, OpenPFGW

(5606879602425 • 2^1290000 − 1) + (33 • 2^2939064 − 5606879602425 • 2^1290000) • n 0..2 884748 24 Sep 2021 Serge Batalov

(6325241166627 • 2^1290000 − 1) + (1455 • 2^2683953 − 6325241166627 • 2^1290000) • n 0..2 807954 23 Sep 2021 Serge Batalov

(4953427788675 • 2^1290000 − 1) + (3555 • 2^1542813 − 4953427788675 • 2^1290000) • n 0..2 464437 18 Apr 2020 Serge Batalov

(2723880039837 • 2^1290000 − 1) + (4125 • 2^1445205 − 2723880039837 • 2^1290000) • n 0..2 435054 18 Dec 2016 David Broadhurst, David Abrahmi, David Metcalfe, TwinGen, NewPGen,
srsieve, PSieve, Rieselprime, PrimeGrid, LLR, PrimeForm

(731362328595 + 1986593776260 • n) • 2^1290000 − 1 0..2 388342 12 Jun 2016 Serge Batalov, Randy Ready, Simon Geis, NewPGen,
TwinGen, PrimeGrid, LLR

(907717371825 + 1312259228802 • n) • 2^1290000 − 1 0..2 388342 21 Jan 2016 Serge Batalov, James Scott Brown, Simon Geis, NewPGen,
TwinGen, PrimeGrid, LLR

(483590093385 + 1367824406910 • n) • 2^1290000 − 1 0..2 388342 29 Sep 2015 David Broadhurst, Ernst Fluttert, Randall Scalise,
PrimeGrid, TwinGen, LLR, NewPGen, PrimeForm

(8175435610410 + 32289415560495 • n) • 2⁶⁶⁶⁶⁶⁶ − 1 0..2 200701 1 Mar 2011 David Broadhurst, Tony Gott, Ulrich Fries,
PrimeGrid, TwinGen, LLR, NewPGen, PrimeForm

(1539 • 2²⁶³³⁵⁹+1) + (1185 • 2⁵²⁹⁴⁴⁴ − 1539 • 2²⁶³³⁵⁹) • n 0..2 159382 30 Apr 2010 David Broadhurst, Sascha Dinkel, Steven Harvey,
FermFact, srsieve, PrimeGrid, PrimeForm, LLR

(907 • 2³³⁸⁹³⁴+1) + (71 • 2⁵¹⁵⁸⁸⁵ − 907 • 2³³⁸⁹³⁴) • n 0..2 155300 20 Apr 2010 David Broadhurst, Steven Harvey, NewPGen, srsieve, PRP, PrimeForm

(11347 • 2⁵⁰⁸²⁰⁹ − 1) + (103939 • 2⁵¹⁴²²⁹ − 11347 • 2⁵⁰⁸²⁰⁹) • n 0..2 154804 28 Feb 2010 David Broadhurst, Thomas Ritschel, Lei Zhou, Riesel Prime Search,
NewPGen, srsieve, LLR, PrimeForm

(1769267 • 2³⁴⁰⁰⁰⁰ − 1) + (1061839 • 2⁴⁵⁶⁷⁸⁹ − 1769267 • 2³⁴⁰⁰⁰⁰) • n 0..2 137514 27 Aug 2007 Jens Kruse Andersen, Jiong Sun, Daniel Heuer,
NewPGen, LLR, PrimeForm

(197 • 2²⁰²⁵³⁴ − 1) + (17 • 2⁴²⁹³¹⁸ − 197 • 2²⁰²⁵³⁴) • n 0..2 129240 18 Feb 2005 David Broadhurst, Peter Grobstich, Mark Anderson,
Proth.exe, LLR, PrimeForm

(405769059 • 2¹⁸⁰⁰⁰⁹ − 1) + (45 • 2³⁶⁸⁵⁵³ − 405769059 • 2¹⁸⁰⁰⁰⁹) • n 0..2 110948 10 Dec 2003 Jiong Sun, NewPGen, LLR, PrimeForm

Primes	n's	Digits	When	Discoverer
History for AP3
(503 • 2^1092022 − 1) + (1103 • 2^3558176 − 503 • 2^1092022) • n	0..2	1071122	31 Dec 2022	Ryan Propper & Serge Batalov, EMsieve, OpenPFGW
(3027 • 2⁹⁸⁸⁶⁵⁸ + 1) + (2109 • 2^3423797 − 3027 • 2⁹⁸⁸⁶⁵⁸) • n	0..2	1030670	2 Jan 2023	Ryan Propper & Serge Batalov, EMsieve, OpenPFGW, CHG
(143157 • 2^2144728 + 1) + (2895 • 2^3422030 − 143157 • 2^2144728) • n	0..2	1030138	3 Jan 2023	Ryan Propper & Serge Batalov, EMsieve, OpenPFGW
(5606879602425 • 2^1290000 − 1) + (33 • 2^2939064 − 5606879602425 • 2^1290000) • n	0..2	884748	24 Sep 2021	Serge Batalov
(6325241166627 • 2^1290000 − 1) + (1455 • 2^2683953 − 6325241166627 • 2^1290000) • n	0..2	807954	23 Sep 2021	Serge Batalov
(4953427788675 • 2^1290000 − 1) + (3555 • 2^1542813 − 4953427788675 • 2^1290000) • n	0..2	464437	18 Apr 2020	Serge Batalov
(2723880039837 • 2^1290000 − 1) + (4125 • 2^1445205 − 2723880039837 • 2^1290000) • n	0..2	435054	18 Dec 2016	David Broadhurst, David Abrahmi, David Metcalfe, TwinGen, NewPGen, srsieve, PSieve, Rieselprime, PrimeGrid, LLR, PrimeForm
(731362328595 + 1986593776260 • n) • 2^1290000 − 1	0..2	388342	12 Jun 2016	Serge Batalov, Randy Ready, Simon Geis, NewPGen, TwinGen, PrimeGrid, LLR
(907717371825 + 1312259228802 • n) • 2^1290000 − 1	0..2	388342	21 Jan 2016	Serge Batalov, James Scott Brown, Simon Geis, NewPGen, TwinGen, PrimeGrid, LLR
(483590093385 + 1367824406910 • n) • 2^1290000 − 1	0..2	388342	29 Sep 2015	David Broadhurst, Ernst Fluttert, Randall Scalise, PrimeGrid, TwinGen, LLR, NewPGen, PrimeForm
(8175435610410 + 32289415560495 • n) • 2⁶⁶⁶⁶⁶⁶ − 1	0..2	200701	1 Mar 2011	David Broadhurst, Tony Gott, Ulrich Fries, PrimeGrid, TwinGen, LLR, NewPGen, PrimeForm
(1539 • 2²⁶³³⁵⁹+1) + (1185 • 2⁵²⁹⁴⁴⁴ − 1539 • 2²⁶³³⁵⁹) • n	0..2	159382	30 Apr 2010	David Broadhurst, Sascha Dinkel, Steven Harvey, FermFact, srsieve, PrimeGrid, PrimeForm, LLR
(907 • 2³³⁸⁹³⁴+1) + (71 • 2⁵¹⁵⁸⁸⁵ − 907 • 2³³⁸⁹³⁴) • n	0..2	155300	20 Apr 2010	David Broadhurst, Steven Harvey, NewPGen, srsieve, PRP, PrimeForm
(11347 • 2⁵⁰⁸²⁰⁹ − 1) + (103939 • 2⁵¹⁴²²⁹ − 11347 • 2⁵⁰⁸²⁰⁹) • n	0..2	154804	28 Feb 2010	David Broadhurst, Thomas Ritschel, Lei Zhou, Riesel Prime Search, NewPGen, srsieve, LLR, PrimeForm
(1769267 • 2³⁴⁰⁰⁰⁰ − 1) + (1061839 • 2⁴⁵⁶⁷⁸⁹ − 1769267 • 2³⁴⁰⁰⁰⁰) • n	0..2	137514	27 Aug 2007	Jens Kruse Andersen, Jiong Sun, Daniel Heuer, NewPGen, LLR, PrimeForm
(197 • 2²⁰²⁵³⁴ − 1) + (17 • 2⁴²⁹³¹⁸ − 197 • 2²⁰²⁵³⁴) • n	0..2	129240	18 Feb 2005	David Broadhurst, Peter Grobstich, Mark Anderson, Proth.exe, LLR, PrimeForm
(405769059 • 2¹⁸⁰⁰⁰⁹ − 1) + (45 • 2³⁶⁸⁵⁵³ − 405769059 • 2¹⁸⁰⁰⁰⁹) • n	0..2	110948	10 Dec 2003	Jiong Sun, NewPGen, LLR, PrimeForm