4 915 109 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
173929372007615449	18	57.3	old
216147086177886089	18	57.6	2015-07-01 11:25:59
376726469889084870703	21	68.4	2019-08-05 19:04:30
531547890607246275977	21	68.8	2023-08-05 05:40:47

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

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)	2017-09-20	kkmrkkblmbrbk	376953C020F57467	2	0	1	3
Verified (Factored)	2018-04-09	Oliver Kruse	376953C020F57467	2	98203	1	3
Verified (Factored)	2019-08-06	Niels_Mache_Nextcloud	6298D9F2EF4BAC7D	3	683121	5	3
Verified (Factored)	2019-08-06	ATH	6298D9F2EF4BAC7D	3	3567930	5	3
Verified	2023-08-05	Stef42	6298D9F2EF4BAC7D	4	2828994	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-05	531547890607246275977	6000000	38935904280

History

Date	User	Type	Result
2023-08-05	Jonathan Webb	CERT	PRP Certification Proof certified good
2023-08-05	Stef42	C-PRP	M4915109/173929372007615449/216147086177886089/376726469889084870703/531547890607246275977 : 6298D9F2EF4BAC7D PRP proof power = 7 PRP: Verified Proof certified good
2023-08-05	Stef42	F-PM1	Factor: 531547890607246275977 / (P-1, B1=6000000, B2=38935904280)
2019-08-06	ATH	C-PRP	M4915109/173929372007615449/216147086177886089/376726469889084870703 : 6298D9F2EF4BAC7D PRP: Verified (Factored) PRP without proof (not generated)
2019-08-06	Niels_Mache_Nextcloud	C-PRP	M4915109/173929372007615449/216147086177886089/376726469889084870703 : 6298D9F2EF4BAC7D PRP: Verified (Factored) PRP without proof (not generated)
2019-08-05	MarkS	F-ECM	Factor: 376726469889084870703 / (ECM curve 2, B1=50000, B2=5000000)
2018-04-09	Oliver Kruse	C-PRP	M4915109/173929372007615449/216147086177886089 : 376953C020F57467 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4915109/173929372007615449/216147086177886089 : 376953C020F57467 PRP: Verified (Factored) PRP without proof (not generated)
2015-07-01	TJAOI	F	Factor: 216147086177886089 / TF: 57-58