3 377 029 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
3702871774153	13	41.8	old
48722075870107777062101927617	29	95.3	2021-02-23 01:24:28

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)	2017-11-05	Oliver Kruse	A427A7468C3F4540	1	2953921	5	3
Verified (Factored)	2017-12-15	Luigi Morelli	A427A7468C3F4540	1	1098061	5	3
Verified	2021-02-23	riccardo uberti	A427A7468C3F4540	2	973013	5	3

P-1 factors

Date	Factor	B1	B2
2021-02-23	48722075870107777062101927617	337702	337702

History

Date	User	Type	Result
2022-09-03	Joss	NF-PM1	B1=1350811, B2=223232100
2022-01-06	Joss	NF-PM1	B1=1244255, B2=111642300
2021-04-09	Joss	NF	no factor from 2^67 to 2^68
2021-03-13	Joss	NF-PM1	B1=337702, B2=7091760, E=6
2021-03-13	Joss	NF-PM1	B1=337702, B2=3714731, E=6
2021-02-24	riccardo uberti	NF-PM1	B1=1000000, B2=30000000, E=12
2021-02-23	Ben Delo	CERT	PRP Certification Proof certified good
2021-02-23	riccardo uberti	C-PRP	M3377029/3702871774153/48722075870107777062101927617 : A427A7468C3F4540 PRP proof power = 7 PRP: Verified Proof certified good
2021-02-23	Joss	F-PM1	Factor: 48722075870107777062101927617 / (P-1, B1=337702)
2017-12-15	Luigi Morelli	C-PRP	M3377029/3702871774153 : A427A7468C3F4540 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-05	Oliver Kruse	C-PRP	M3377029/3702871774153 : A427A7468C3F4540 PRP: Verified (Factored) PRP without proof (not generated)