2 299 553 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶²

Factored

Factor	Digits	Bits	Date
79504745423	11	36.2	old
216341946241	12	37.7	2008-07-14 20:22:51
1469759207967881	16	50.4	2014-05-27 11:32:53
263375871218260783	18	57.9	2015-07-24 10:12:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	120 / 640

Estimated T-Level: 25.9 ⓘ

TF below 2^81 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	B3F021CA68B40992	1	0	1	3
Verified	PRP without proof (not generated)	2017-10-18	Oliver Kruse	E22E12E8B4FFF73B	4	1162649	5	3
Verified	PRP without proof (not generated)	2017-11-22	storm5510	E22E12E8B4FFF73B	4	700985	5	3

History

Date	User	Type	Result
2017-11-22	storm5510	C-PRP	M2299553/79504745423/216341946241/1469759207967881/263375871218260783 : E22E12E8B4FFF73B
2017-10-18	Oliver Kruse	C-PRP	M2299553/79504745423/216341946241/1469759207967881/263375871218260783 : E22E12E8B4FFF73B
2017-10-11	Oliver Kruse	C-PRP	M2299553/known_factors : B3F021CA68B40992
2016-05-01	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-07-24	TJAOI	F	Factor: 263375871218260783
2014-05-27	TJAOI	F	Factor: 1469759207967881
2008-07-14	George Woltman	F-ECM	Factor: 216341946241