2 099 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
22858111	8	24.4	old
77021877565247	14	46.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	62468 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	B8B5524BC03B0CED	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B8B5524BC03B0CED	2	1489	1	3
Verified	2020-04-17	Oliver Kruse	D0857A865FA61C1E	2	1739	5	3
Verified	2024-01-27	Wentao Huang	D0857A865FA61C1E	2	735	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-03	22858111	500000000000	500000000000

History

Date	User	Type	Result
2025-03-31	masser	NF-PP1	Start=136/43, B1=5300000000, B2=5294700000000
2024-03-12	masser	NF-PM1	B1=215000000000, B2=485219917053621750
2024-01-27	Wentao Huang	C-PRP	M2099/22858111/77021877565247 : D0857A865FA61C1E PRP: Verified PRP without proof (small exponent)
2022-01-03	onlinegame	F-PM1	Factor: 1760574626814825668417 / (P-1, B1=500000000000)
2020-04-17	Oliver Kruse	C-PRP	M2099/22858111/77021877565247 : D0857A865FA61C1E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2099/22858111/77021877565247 : B8B5524BC03B0CED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2099/22858111/77021877565247 : B8B5524BC03B0CED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2099/22858111/77021877565247 : B8B5524BC03B0CED PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12