1 851 991 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
1051930889	10	30.0	old
8177885773501321	16	52.9	2014-08-27 11:24:54
8552568947301913	16	52.9	2014-08-29 11:29:53
2247876997978746328231	22	70.9	2015-07-07 08:07:36
13151078006579160102223	23	73.5	2021-05-25 21:37:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	718945BB876DAD53	4	0	1	3
Verified (Factored)	2017-11-11	kkmrkkblmbrbk	718945BB876DAD53	4	1110178	1	3
Verified	2021-05-27	kutens	6AB258B2490FD19F	5	411731	5	3

P-1 factors

Date	Factor	B1	B2
2015-07-07	2247876997978746328231	500000	15000000

History

Date	User	Type	Result
2021-05-27	optaim	CERT	PRP Certification Proof certified good
2021-05-27	kutens	C-PRP	M1851991/1051930889/8177885773501321/8552568947301913/2247876997978746328231/13151078006579160102223 : 6AB258B2490FD19F PRP proof power = 7 PRP: Verified Proof certified good
2021-05-25	_p95holder_	F-ECM	Factor: 13151078006579160102223 / (ECM curve 4, B1=50000, B2=5000000)
2017-11-11	kkmrkkblmbrbk	C-PRP	M1851991/1051930889/8177885773501321/8552568947301913/2247876997978746328231 : 718945BB876DAD53 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1851991/1051930889/8177885773501321/8552568947301913/2247876997978746328231 : 718945BB876DAD53 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1851991/1051930889/8177885773501321/8552568947301913/2247876997978746328231 : 718945BB876DAD53 PRP without proof (not generated)
2015-07-07	alpertron	F-PM1	Factor: 2247876997978746328231 / (P-1, B1=500000, B2=15000000, E=12)
2014-08-29	TJAOI	F	Factor: 8552568947301913
2014-08-27	TJAOI	F	Factor: 8177885773501321