309 677 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
4335479	7	22.0	old
112647486167	12	36.7	2008-07-21 09:16:27
117127273649	12	36.8	2008-07-21 09:16:27
346631678392624512431	21	68.2	2014-01-15 00:45:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	349 / 640

Estimated T-Level: 27.7 ⓘ

TF below 2^87 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	3691394EC51993DA	4	0	1	3
Verified	2017-10-12	Oliver Kruse	3691394EC51993DA	4	94557	1	3
Verified	2017-12-11	ATH	3691394EC51993DA	4	221345	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	849C4FD17FBE8C__	4	287711	5	3

History

Date	User	Type	Result
2024-02-24	Denial140	NF-PM1	B1=10000000, B2=197616018600
2024-02-22	Denial140	NF-PM1	B1=10000000
2023-03-18	Denial140	NF-PM1	B1=1000000, B2=65871826020
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-18	Oliver Kruse	C-PRP	M309677/4335479/112647486167/117127273649/346631678392624512431 : 849C4FD17FBE8C__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-11	ATH	C-PRP	M309677/4335479/112647486167/117127273649/346631678392624512431 : 3691394EC51993DA PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M309677/4335479/112647486167/117127273649/346631678392624512431 : 3691394EC51993DA PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M309677/known_factors : 3691394EC51993DA PRP without proof (not generated)
2014-01-15	Richard B. Woods	F-ECM	Factor: 346631678392624512431
2008-07-21	J Feitsma	F	Factor: 117127273649
2008-07-21	J Feitsma	F	Factor: 112647486167