2 271 337 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁶²

Factored

Factor	Digits	Bits	Date
13628023	8	23.7	old
82581270647	11	36.3	2008-07-14 20:22:35
21905539223714328727	20	64.2	2016-04-28 11:25:50

P-1 factors

Date	Factors	B1	B2
2016-04-28	21905539223714328727	500000	15000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	194 / 640

Estimated T-Level: 26.5 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2017-10-11	Oliver Kruse	BA28C82A46AA60EB	1	0	1	3
Verified	PRP without proof (not generated)	2017-10-18	Oliver Kruse	56C01A2A98106839	3	1639570	5	3
Verified	PRP without proof (not generated)	2017-11-21	storm5510	56C01A2A98106839	3	582892	5	3

History

Date	User	Type	Result
2017-11-21	storm5510	C-PRP	M2271337/13628023/82581270647/21905539223714328727 : 56C01A2A98106839
2017-10-18	Oliver Kruse	C-PRP	M2271337/13628023/82581270647/21905539223714328727 : 56C01A2A98106839
2017-10-11	Oliver Kruse	C-PRP	M2271337/known_factors : BA28C82A46AA60EB
2016-04-28	alpertron	F-PM1	Factor: 21905539223714328727 / B1=500000, B2=15000000
2008-07-14	George Woltman	F-ECM	Factor: 82581270647