2 108 993 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
604821230527	12	39.1	old
32570583001865252651231	23	74.8	2023-01-15 08:09:26
7015074024094084484282050831	28	92.5	2024-12-23 08:38:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	165 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-07	Oliver Kruse	4DCB45A2256175F8	1	0	1	3
Verified (Factored)	2017-11-17	kkmrkkblmbrbk	4DCB45A2256175F8	1	628627	1	3
Verified (Factored)	2023-01-16	_p95holder_	D3243A5B012C9092	2	1821606	5	3
Verified (Factored)	2023-01-21	Donato Filho	D3243A5B012C9092	2	668916	5	3
Verified	2024-12-30	Bornfish	D3243A5B012C9092	3	1005245	5	3

History

Date	User	Type	Result
2024-12-30	Syracuse University	CERT	PRP Certification Proof certified good
2024-12-30	Bornfish	C-PRP	M2108993/604821230527/32570583001865252651231/7015074024094084484282050831 : D3243A5B012C9092 PRP proof power = 7 PRP: Verified Proof certified good
2024-12-23	TJAOI	F-ECM	Factor: 7015074024094084484282050831 / (ECM curve 65, B1=250000, B2=251325195, Edwards Sigma=6545741315804090)
2023-01-21	Perig	CERT	PRP Certification Proof certified good
2023-01-21	Donato Filho	C-PRP	M2108993/604821230527/32570583001865252651231 : D3243A5B012C9092 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2023-01-16	_p95holder_	C-PRP	M2108993/604821230527/32570583001865252651231 : D3243A5B012C9092 PRP: Verified (Factored) PRP without proof (not generated)
2023-01-15	_p95holder_	F-ECM	Factor: 32570583001865252651231 / (ECM curve 5, B1=50000, B2=5000000)
2017-11-17	kkmrkkblmbrbk	C-PRP	M2108993/604821230527 : 4DCB45A2256175F8 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-07	Oliver Kruse	C-PRP	M2108993/604821230527 : 4DCB45A2256175F8 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12