2 852 587 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
6777746713	10	32.7	old
887713167701863	15	49.7	2014-05-08 12:18:39
279972401285741323241	21	67.9	2023-02-18 07:14:54
172568596633476310902967	24	77.2	2019-06-08 12:34:07

ECM

Digits	B1	Curves
25	50000	98 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-22	Oliver Kruse	BEA7C1FC01D444FC	2	917301	5	3
Verified (Factored)	2017-12-07	kkmrkkblmbrbk	BEA7C1FC01D444FC	2	1267126	5	3
Verified (Factored)	2019-06-09	Niels_Mache_Nextcloud	BEA7C1FC01D444FC	3	2215777	5	3
Verified	2023-02-21	LordJulius	BEA7C1FC01D444FC	4	1160820	5	3

P-1 factors

Date	Factor	B1	B2
2019-06-08	172568596633476310902967	40000	400000
2023-02-18	279972401285741323241	360000	296091180

History

Date	User	Type	Result
2023-02-22	curtisc	CERT	PRP Certification Proof certified good
2023-02-21	LordJulius	C-PRP	M2852587/6777746713/887713167701863/279972401285741323241/172568596633476310902967 : BEA7C1FC01D444FC PRP proof power = 7 PRP: Verified Proof certified good
2023-02-18	USAFSS	F-PM1	Factor: 279972401285741323241 / (P-1, B1=360000, B2=296091180)
2019-06-09	Niels_Mache_Nextcloud	C-PRP	M2852587/6777746713/887713167701863/172568596633476310902967 : BEA7C1FC01D444FC PRP: Verified (Factored) PRP without proof (not generated)
2019-06-08	Joss	F-PM1	Factor: 172568596633476310902967 / (P-1, B1=40000, B2=400000)
2017-12-07	kkmrkkblmbrbk	C-PRP	M2852587/6777746713/887713167701863 : BEA7C1FC01D444FC PRP: Verified (Factored) PRP without proof (not generated)
2017-10-22	Oliver Kruse	C-PRP	M2852587/6777746713/887713167701863 : BEA7C1FC01D444FC PRP: Verified (Factored) PRP without proof (not generated)
2014-05-08	TJAOI	F	Factor: 887713167701863