91 159 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
500280593	9	28.9	old
26307018698881903	17	54.5	2009-08-14 15:38:39
8100376202980215151	19	62.8	2009-08-14 15:38:40
42644875177586454321929	23	75.2	2014-07-06 10:38:38
511027414747074072943480850754170482981951	42	138.6	2016-09-11 12:40:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	550 / 1566

Estimated T-Level: 31.8 ⓘ

TF below 2^100 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	0E4E9DF9BFC0DA9E	5	0	1	3
Verified	2017-10-09	Chang Chia-Tche	0E4E9DF9BFC0DA9E	5	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	0E4E9DF9BFC0DA9E	5	21417	1	3
Verified	2020-04-17	Oliver Kruse	9D8426455B56EE62	5	44237	5	3
Verified	2024-02-03	Wentao Huang	9D8426455B56EE62	5	14320	5	3

P-1 factors

Date	Factor	B1	B2
2016-09-11	511027414747074072943480850754170482981951	5000000	40000000

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M91159/500280593/26307018698881903/8100376202980215151/42644875177586454321929/511027414747074072943480850754170482981951 : 9D8426455B56EE62 PRP: Verified PRP without proof (small exponent)
2022-07-09	George Woltman	NF-PM1	B1=1000000000, B2=73481349341400
2022-07-02	George Woltman	NF-PM1	B1=1000000000
2021-08-12	ViliamF	NF-PM1	B1=1000000000, B2=221000000000
2021-05-01	nordi	NF-PP1	Start=6/5, B1=40000000, B2=5240000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=40000000, B2=5240000000
2020-04-17	Oliver Kruse	C-PRP	M91159/500280593/26307018698881903/8100376202980215151/42644875177586454321929/511027414747074072943480850754170482981951 : 9D8426455B56EE62 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M91159/500280593/26307018698881903/8100376202980215151/42644875177586454321929/511027414747074072943480850754170482981951 : 0E4E9DF9BFC0DA9E PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M91159/known_factors : 0E4E9DF9BFC0DA9E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M91159/500280593/26307018698881903/8100376202980215151/42644875177586454321929/511027414747074072943480850754170482981951 : 0E4E9DF9BFC0DA9E PRP without proof (not generated)
2016-12-12	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-09-11	kkmrkkblmbrbk	F-PM1	Factor: 511027414747074072943480850754170482981951 / (P-1, B1=5000000, B2=40000000, E=12)
2014-07-06	TJAOI	F-ECM	Factor: 42644875177586454321929
2009-08-14	Matthias Wurtinger	F-ECM	Factor: 8100376202980215151
2009-08-14	Matthias Wurtinger	F-ECM	Factor: 26307018698881903