3 465 691 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
2945837351	10	31.5	old
31147698028165252675365742266929462431	38	124.6	2022-01-25 03:36:14

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)	2017-11-06	kkmrkkblmbrbk	DA1A274FFD5EEE99	1	67467	5	3
Verified (Factored)	2017-11-23	Oliver Kruse	DA1A274FFD5EEE99	1	713872	5	3
Verified	2022-02-01	LordJulius	DA1A274FFD5EEE99	2	1054682	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-25	31147698028165252675365742266929462431	1000000	114656850

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3465691, B2=3499673100
2022-02-01	Massimo Cappelli (ik5pwa)	CERT	PRP Certification Proof certified good
2022-02-01	LordJulius	C-PRP	M3465691/2945837351/31147698028165252675365742266929462431 : DA1A274FFD5EEE99 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-25	Joss	F-PM1	Factor: 31147698028165252675365742266929462431 / (P-1, B1=1000000, B2=114656850)
2021-03-18	Joss	NF	no factor from 2^67 to 2^68
2021-03-18	Joss	NF-PM1	B1=346569, B2=3465691, E=6
2021-03-01	Joss	NF	no factor from 2^66 to 2^67
2021-02-28	Joss	NF	no factor from 2^65 to 2^66
2017-11-23	Oliver Kruse	C-PRP	M3465691/2945837351 : DA1A274FFD5EEE99 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-06	kkmrkkblmbrbk	C-PRP	M3465691/2945837351 : DA1A274FFD5EEE99 PRP: Verified (Factored) PRP without proof (not generated)