2 844 629 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
85338871	8	26.3	old
1176191509663	13	40.1	2008-09-30 14:38:08
56037211438217	14	45.7	2014-01-28 11:12:30
15186636425177663	17	53.8	2014-10-10 11:16:36
49771866515361342956538673	26	85.4	2023-01-31 23:32:59
1070830290649203965475023720761	31	99.8	2023-01-31 23:32:59

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-15	Yaroslav Berezhko	85FD1616F2C455FC	4	0	1	3
Verified (Factored)	2017-11-16	Oliver Kruse	85FD1616F2C455FC	4	2152687	1	3
Verified	2023-02-01	LordJulius	E2B57190468EDDCA	6	1668476	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-31	53297222286797769443805899081261671881039225762249490153	360000	287380170

History

Date	User	Type	Result
2023-02-02	curtisc	CERT	PRP Certification Proof certified good
2023-02-01	LordJulius	C-PRP	M2844629/85338871/1176191509663/56037211438217/15186636425177663/49771866515361342956538673/1070830290649203965475023720761 : E2B57190468EDDCA PRP proof power = 7 PRP: Verified Proof certified good
2023-01-31	USAFSS	F-PM1	Factors: 1070830290649203965475023720761,49771866515361342956538673 / (P-1, B1=360000, B2=287380170)
2017-11-16	Oliver Kruse	C-PRP	M2844629/85338871/1176191509663/56037211438217/15186636425177663 : 85FD1616F2C455FC PRP: Verified (Factored) PRP without proof (not generated)
2017-10-15	Yaroslav Berezhko	C-PRP	M2844629/85338871/1176191509663/56037211438217/15186636425177663 : 85FD1616F2C455FC PRP: Verified (Factored) PRP without proof (not generated)
2014-10-10	TJAOI	F	Factor: 15186636425177663 / TF: 53-54
2014-01-28	TJAOI	F	Factor: 56037211438217
2008-09-30	markr	F	Factor: 1176191509663