1 976 371 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
13531753718929	14	43.6	old
37259496647396161	17	55.0	2015-01-02 12:37:00
62400805080960230527	20	65.8	2019-04-23 13:34:39
9506278702316706013169	22	73.0	2021-12-27 10:26:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	58 / 640

Estimated T-Level: 25.5 ⓘ

TF below 2^80 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	73462ADAE8196988	2	0	1	3
Verified (Factored)	2017-11-12	kkmrkkblmbrbk	73462ADAE8196988	2	1099298	1	3
Verified (Factored)	2019-04-25	oodaira	FAEEBCE2BD9FE4A7	3	535439	5	3
Verified (Factored)	2019-04-25	ATH	FAEEBCE2BD9FE4A7	3	708194	5	3
Verified	2021-12-27	MarkS	FAEEBCE2BD9FE4A7	4	1851439	5	3

History

Date	User	Type	Result
2022-08-13	USAFSS	NF-PM1	B1=384000, B2=403160940
2022-03-09	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-09	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-09	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-09	LordJulius	NF	no factor from 2^61 to 2^62
2021-12-27	Miika Wallius	CERT	PRP Certification Proof certified good
2021-12-27	MarkS	C-PRP	M1976371/13531753718929/37259496647396161/62400805080960230527/9506278702316706013169 : FAEEBCE2BD9FE4A7 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-27	MarkS	F-ECM	Factor: 9506278702316706013169 / (ECM curve 8, B1=50000, B2=5000000, Sigma=7888466905959859)
2019-04-25	ATH	C-PRP	M1976371/13531753718929/37259496647396161/62400805080960230527 : FAEEBCE2BD9FE4A7 PRP: Verified (Factored) PRP without proof (not generated)
2019-04-25	oodaira	C-PRP	M1976371/13531753718929/37259496647396161/62400805080960230527 : FAEEBCE2BD9FE4A7 PRP: Verified (Factored) PRP without proof (not generated)
2019-04-23	TJAOI	F	Factor: 62400805080960230527 / TF: 65-66
2017-11-12	kkmrkkblmbrbk	C-PRP	M1976371/13531753718929/37259496647396161 : 73462ADAE8196988 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1976371/13531753718929/37259496647396161 : 73462ADAE8196988 PRP: Verified (Factored) PRP without proof (not generated)
2015-01-02	TJAOI	F	Factor: 37259496647396161 / TF: 55-56