279 779 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2238233	7	21.1	old
227614682498351049007	21	67.6	2014-09-05 15:16:46
56948583044296441357049	23	75.6	2014-09-05 15:16:46
953237357252049664376471	24	79.7	2015-01-16 11:44:22
126484004366290095257504372139509665007	39	126.6	2023-03-19 19:57:13

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	483 / 1566

Estimated T-Level: 31.5 ⓘ

TF below 2^100 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	0B277EE1CFFDC47B	4	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	0B277EE1CFFDC47B	4	23688	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F39F067AA85CFD9B	4	235742	5	3
Verified	2023-03-19	Naegi Makoto	F39F067AA85CFD9B	5	213151	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-19	126484004366290095257504372139509665007	2000000	58727418750

History

Date	User	Type	Result
2023-04-08	LordJulius	F	Factor: 2238233 / TF: 1-59
2023-03-26	Naegi Makoto	NF-PM1	B1=30000000, B2=35636537516580
2023-03-19	George Woltman	CERT	PRP Certification Proof certified good
2023-03-19	Naegi Makoto	C-PRP	M279779/2238233/227614682498351049007/56948583044296441357049/953237357252049664376471/126484004366290095257504372139509665007 : F39F067AA85CFD9B PRP proof power = 5 PRP: Verified Proof certified good
2023-03-19	Naegi Makoto	F-PM1	Factor: 126484004366290095257504372139509665007 / (P-1, B1=2000000, B2=58727418750)
2022-01-03	Lisander Viaene	NF-PM1	B1=100000
2020-04-17	Oliver Kruse	C-PRP	M279779/2238233/227614682498351049007/56948583044296441357049/953237357252049664376471 : F39F067AA85CFD9B PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M279779/2238233/227614682498351049007/56948583044296441357049/953237357252049664376471 : 0B277EE1CFFDC47B PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M279779/known_factors : 0B277EE1CFFDC47B PRP without proof (not generated)
2015-01-16	TJAOI	F-ECM	Factor: 953237357252049664376471 / (ECM curve 14, B1=50000, B2=5000000)
2014-09-05	TJAOI	F-ECM	Factor: 56948583044296441357049
2014-09-05	TJAOI	F-ECM	Factor: 227614682498351049007