2 768 317 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
17606496121	11	34.0	old
359764940687	12	38.4	2008-09-07 19:41:38
284753510390567	15	48.0	2014-03-25 11:28:21
11341482358694605307119	23	73.3	2022-11-30 00:33:07

ECM

Digits	B1	Curves
25	50000	58 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-20	Oliver Kruse	1CC56113CBE700CC	3	2364155	5	3
Verified (Factored)	2017-12-06	nokno	584B54C2B97E4E25	1	0	1	3
Verified (Factored)	2017-12-07	kkmrkkblmbrbk	1CC56113CBE700CC	3	1572701	5	3
Verified	2022-12-06	kracker	1CC56113CBE700CC	4	1117549	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-30	11341482358694605307119	320000	261254070

History

Date	User	Type	Result
2022-12-06	bonnenberger	CERT	PRP Certification Proof certified good
2022-12-06	kracker	C-PRP	M2768317/17606496121/359764940687/284753510390567/11341482358694605307119 : 1CC56113CBE700CC PRP proof power = 7 PRP: Verified Proof certified good
2022-11-30	USAFSS	F-PM1	Factor: 11341482358694605307119 / (P-1, B1=320000, B2=261254070)
2017-12-07	kkmrkkblmbrbk	C-PRP	M2768317/17606496121/359764940687/284753510390567 : 1CC56113CBE700CC PRP: Verified (Factored) PRP without proof (not generated)
2017-12-06	nokno	C-PRP	M2768317/known_factors : 584B54C2B97E4E25 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-20	Oliver Kruse	C-PRP	M2768317/17606496121/359764940687/284753510390567 : 1CC56113CBE700CC PRP: Verified (Factored) PRP without proof (not generated)
2014-03-25	TJAOI	F	Factor: 284753510390567
2008-09-07	Will Edgington	F	Factor: 359764940687