1 876 643 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3753287	7	21.8	old
301585526726543	15	48.1	2014-03-26 11:33:17
125445563459155900242383	24	76.7	2020-10-09 00:04:55

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	Type	Base
Verified (Factored)	2025-09-02	Kriesel	BB3E4A7780D0D801	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	D4454536FBF80ECF	2	0	1	3
Verified (Factored)	2017-11-07	ATH	D4454536FBF80ECF	2	952847	1	3
Verified	2020-10-09	M Miller	BB3E4A7780D0D801	3	1305394	5	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	BB3E4A7780D0D801 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-10-09	Bill Staffen	CERT	PRP Certification Proof certified good
2020-10-09	M Miller	C-PRP	M1876643/3753287/301585526726543/125445563459155900242383 : BB3E4A7780D0D801 PRP proof power = 7 PRP: Verified Proof certified good
2020-10-09	J.R. Allen	F-ECM	Factor: 125445563459155900242383 / (ECM curve 3, B1=50000, B2=5000000, Sigma=7288647708637615)
2017-11-07	ATH	C-PRP	M1876643/3753287/301585526726543 : D4454536FBF80ECF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1876643/3753287/301585526726543 : D4454536FBF80ECF PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-03-26	TJAOI	F	Factor: 301585526726543