1 874 101 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
3429604831	10	31.7	old
5710844316075408749849	22	72.3	2020-10-04 05:28:33

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	871C5902DEDFA8B6	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	60D5BBC213218DE3	1	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	60D5BBC213218DE3	1	360238	1	3
Verified	2020-10-04	M Miller	871C5902DEDFA8B6	2	1450664	5	3
Verified	2020-10-04	ANONYMOUS	871C5902DEDFA8B6	2	594620	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	871C5902DEDFA8B6 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-10-04	NicholasBochenek	CERT	PRP Certification Proof certified good
2020-10-04	Ben Delo	CERT	PRP Certification Proof certified good
2020-10-04	ANONYMOUS	C-PRP	M1874101/3429604831/5710844316075408749849 : 871C5902DEDFA8B6 PRP proof power = 7 PRP: Verified Proof certified good
2020-10-04	M Miller	C-PRP	M1874101/3429604831/5710844316075408749849 : 871C5902DEDFA8B6 PRP proof power = 7 PRP: Verified Proof certified good
2020-10-04	Ahmed Azhad	F-ECM	Factor: 5710844316075408749849 / (ECM curve 2, B1=50000, B2=5000000, Sigma=7218279982519533)
2017-11-07	kkmrkkblmbrbk	C-PRP	M1874101/3429604831 : 60D5BBC213218DE3 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1874101/3429604831 : 60D5BBC213218DE3 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12