77 003 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
4089783337	10	31.9	old
6921454234543	13	42.7	2008-08-26 20:11:08
7356749700039478337	19	62.7	2011-01-18 13:21:13
491817852750447775067041102775673654239	39	128.5	2017-02-22 14:20:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1222 / 1566

Estimated T-Level: 33.9 ⓘ

TF below 2^108 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	87FD569F12BCEE4E	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	87FD569F12BCEE4E	4	0	1	3
Verified	2017-12-07	ATH	87FD569F12BCEE4E	4	14447	1	3
Verified	2020-04-17	Oliver Kruse	BC1AE0D1B44E18FB	4	58386	5	3
Verified	2024-02-03	Wentao Huang	BC1AE0D1B44E18FB	4	8261	5	3

P-1 factors

Date	Factor	B1	B2
2017-02-22	491817852750447775067041102775673654239	100000000	12720901946406

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M77003/4089783337/6921454234543/7356749700039478337/491817852750447775067041102775673654239 : BC1AE0D1B44E18FB PRP: Verified PRP without proof (small exponent)
2024-02-01	masser	NF-PP1	Start=6/5, B1=25000000, B2=1775000000
2024-01-31	masser	NF-PP1	Start=2/7, B1=25000000, B2=1775000000
2022-02-01	George Woltman	NF-PM1	B1=1000000000, B2=146371428553350
2020-04-17	Oliver Kruse	C-PRP	M77003/4089783337/6921454234543/7356749700039478337/491817852750447775067041102775673654239 : BC1AE0D1B44E18FB PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M77003/4089783337/6921454234543/7356749700039478337/491817852750447775067041102775673654239 : 87FD569F12BCEE4E PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M77003/4089783337/6921454234543/7356749700039478337/491817852750447775067041102775673654239 : 87FD569F12BCEE4E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M77003/4089783337/6921454234543/7356749700039478337/491817852750447775067041102775673654239 : 87FD569F12BCEE4E PRP without proof (not generated)
2017-02-22	kkmrkkblmbrbk	F-PM1	Factor: 491817852750447775067041102775673654239 / (P-1, B1=100000000, B2=12720901946406)
2016-12-16	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-01-18	James Hintz	F-ECM	Factor: 7356749700039478337
2008-08-26	-Anonymous-	F	Factor: 6921454234543