2 263 741 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
13582447	8	23.7	old
461132716355513	15	48.7	2008-08-26 20:20:55
865164872101070631094727	24	79.5	2024-03-12 20:09:43

ECM

Digits	B1	Curves
25	50000	119 / 280

Estimated T-Level: 22.1 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-10	Oliver Kruse	E77AAE4BD271A746	2	0	1	3
Verified (Factored)	2017-11-21	kkmrkkblmbrbk	E77AAE4BD271A746	2	1139788	1	3
Verified	2024-03-12	Anton Tsvetkov	3C9BEA1575C355D0	3	751594	5	3

History

Date	User	Type	Result
2024-03-13	KC	CERT	PRP Certification Proof certified good
2024-03-12	Anton Tsvetkov	C-PRP	M2263741/13582447/461132716355513/865164872101070631094727 : 3C9BEA1575C355D0 PRP proof power = 7 PRP: Verified Proof certified good
2024-03-12	Anton Tsvetkov	F-ECM	Factor: 865164872101070631094727 / (ECM curve 10, B1=50000, B2=11242140, Edwards Sigma=5198661118067531)
2017-11-21	kkmrkkblmbrbk	C-PRP	M2263741/13582447/461132716355513 : E77AAE4BD271A746 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-10	Oliver Kruse	C-PRP	M2263741/13582447/461132716355513 : E77AAE4BD271A746 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-19	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-08-26	-Anonymous-	F	Factor: 461132716355513