1 913 833 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
47102856788087354767	20	65.4	2011-08-11 06:43:05
76988025338832306354281	23	76.0	2021-12-15 23:05:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Lyon	BA34F12F8EAB963E	0
Verified (Factored)	1999-01-10	Jeffrey Hungerford	BA34F12F8EAB963E	1012799

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	6A950BA1C89E5369	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	3766CD948CABAD78	1	0	1	3
Verified (Factored)	2017-10-20	Oliver Kruse	3766CD948CABAD78	1	402635	1	3
Verified	2021-12-16	SRJ2877	6A950BA1C89E5369	2	916787	5	3

History

Date	User	Type	Result
2025-09-03	Team_Inspector	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	6A950BA1C89E5369 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2021-12-16	Chuck	CERT	PRP Certification Proof certified good
2021-12-16	SRJ2877	C-PRP	M1913833/47102856788087354767/76988025338832306354281 : 6A950BA1C89E5369 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-15	Dylan Delgado	F-ECM	Factor: 76988025338832306354281 / (ECM curve 7, B1=50000, B2=6750000, Sigma=930983053774486)
2017-10-20	Oliver Kruse	C-PRP	M1913833/47102856788087354767 : 3766CD948CABAD78 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1913833/47102856788087354767 : 3766CD948CABAD78 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2011-08-11	kurly	F-PM1	Factor: 47102856788087354767
2011-07-17	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2009-05-29	Architects Cubed	NF	no factor from 2^60 to 2^61