3 494 063 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6988127	7	22.7	old
14570242711	11	33.8	2008-09-07 19:49:34

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	2017-11-07	Oliver Kruse	F1AB253EC5351CAC	2	3105187	5	3
Verified	2017-12-16	ATH	F1AB253EC5351CAC	2	1175560	5	3

History

Date	User	Type	Result
2022-01-06	Joss	NF-PM1	B1=1149406, B2=129694950
2021-10-18	Joss	NF	no factor from 2^67 to 2^68
2021-02-23	Joss	NF	no factor from 2^66 to 2^67
2021-02-21	Joss	NF	no factor from 2^65 to 2^66
2021-02-16	Joss	NF-PM1	B1=349406, B2=7337532, E=6
2021-02-16	Joss	NF-PM1	B1=349406, B2=3843469, E=6
2017-12-16	ATH	C-PRP	M3494063/6988127/14570242711 : F1AB253EC5351CAC PRP: Verified PRP without proof (not generated)
2017-11-07	Oliver Kruse	C-PRP	M3494063/6988127/14570242711 : F1AB253EC5351CAC PRP: Verified PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 14570242711