2 613 139 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶³

Factored

Factor	Digits	Bits	Date
47036503	8	25.5	old
88846727	8	26.4	2008-07-14 20:29:06
7928263727	10	32.9	2008-07-14 20:29:06
2191691942081	13	41.0	2008-07-14 20:29:06
2818437359724433	16	51.3	2014-03-31 01:28:08
7175224114120463	16	52.7	2014-03-31 01:28:08

ECM

Digits	B1	Curves
25	50000	153 / 280

Estimated T-Level: 22.7 ⓘ

TF below 2^71 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-18	Oliver Kruse	211A1DA451143A1F	6	1604388	5	3
Verified	PRP without proof (not generated)	2017-12-02	storm5510	211A1DA451143A1F	6	2520717	5	3

History

Date	User	Type	Result
2019-07-04	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-12-02	storm5510	C-PRP	M2613139/47036503/2191691942081/7928263727/88846727/7175224114120463/2818437359724433 : 211A1DA451143A1F
2017-10-18	Oliver Kruse	C-PRP	M2613139/47036503/2191691942081/7928263727/88846727/7175224114120463/2818437359724433 : 211A1DA451143A1F
2014-03-31	pdazzl	F	Factor: 2818437359724433 / TF: 48-54
2014-03-31	pdazzl	F	Factor: 7175224114120463 / TF: 48-54
2008-07-14	George Woltman	F-ECM	Factor: 88846727
2008-07-14	George Woltman	F-ECM	Factor: 7928263727
2008-07-14	George Woltman	F-ECM	Factor: 2191691942081