12 086 083 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
2062314568959151687879	22	70.8	2021-06-08 04:31:56

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	Shift
Verified (Factored)	2001-03-05	Marilyn Hutton Duke	1369F3A8508E7456	6665408
Verified (Factored)	2004-10-03	S236902	1369F3A8508E7456	5124237

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-01-21	GAN	7194DF7B8BF93289	1	3912832	5	3

History

Date	User	Type	Result
2023-10-24	nordi	NF-PM1	B1=500000, B2=287291550
2023-10-17	nordi	NF-PM1	B1=500000
2022-01-21	Cosmos95	CERT	PRP Certification Proof certified good
2022-01-21	GAN	C-PRP	M12086083/2062314568959151687879 : 7194DF7B8BF93289 PRP proof power = 8 PRP: Verified Proof certified good
2021-06-08	Smok_bmv	F	Factor: 2062314568959151687879 / TF: 70-71*
2021-06-08	Smok_bmv	NF	no factor from 2^69 to 2^70
2017-11-03	ramgeis	NF	no factor from 2^68 to 2^69
2015-05-28	Tha	NF	no factor from 2^67 to 2^68
2015-02-10	Tha	NF	no factor from 2^66 to 2^67
2013-10-04	Nesowa	NF	no factor from 2^65 to 2^66
2013-09-21	lycorn	NF	no factor from 2^64 to 2^65