5 879 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
2560595532531701427371780022123225088181047175166718282727	58	190.7	2024-01-31 17:31:24
3381116440321017148580653633902983992991015840485797617951	58	191.1	2016-09-30 12:23:53

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	8037 / 40830

Estimated T-Level: 51.0 ⓘ

TF below 2^164 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	55B8	0
Verified (Factored)		George Woltman	620AE67601FDD5B8	0
Verified (Factored)		Brian J. Beesley	620AE67601FDD5B8	0
Verified (Factored)	2015-04-11	MadPoo	620AE67601FDD5B8	1253

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	25C9A9D658B2EDF9	1	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	25C9A9D658B2EDF9	1	0	1	3
Verified (Factored)	2017-12-07	ATH	25C9A9D658B2EDF9	1	4551	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	A63C3B6F9D8E0361	1	4951	5	3
Verified	2024-01-31	Anton Tsvetkov	A63C3B6F9D8E0361	2	5541	5	3

History

Date	User	Type	Result
2024-01-31	Anton Tsvetkov	C-PRP	M5879/3381116440321017148580653633902983992991015840485797617951/2560595532531701427371780022123225088181047175166718282727 : A63C3B6F9D8E0361 PRP: Verified PRP without proof (small exponent)
2024-01-31	Ryan Propper	F-ECM	Factor: 2560595532531701427371780022123225088181047175166718282727 / (ECM curve 4, B1=110000000, B2=2483118087450, Edwards Sigma=8171238318625266)
2023-07-24	-Anonymous-	NF-PM1	B1=42000000000, B2=171618937469779800
2021-12-16	Lisander Viaene	NF-PM1	B1=200000000
2020-04-17	Oliver Kruse	C-PRP	M5879/3381116440321017148580653633902983992991015840485797617951 : A63C3B6F9D8E0361 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5879/3381116440321017148580653633902983992991015840485797617951 : 25C9A9D658B2EDF9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5879/3381116440321017148580653633902983992991015840485797617951 : 25C9A9D658B2EDF9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5879/known_factors : 25C9A9D658B2EDF9 PRP without proof (not generated)
2016-09-30	mikr	F-ECM	Factor: 3381116440321017148580653633902983992991015840485797617951 / (ECM curve 125, B1=110000000, B2=11000000000)
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-08-02	Sid & Andy	NF	no factor from 2^61 to 2^62
2015-05-20	MadPoo	NF-PM1	B1=100000000000
2015-04-11	MadPoo	C-LL	620AE67601FDD5B8
2012-10-11	bcp19	NF	no factor from 2^60 to 2^61
2011-05-07	Joss	NF-PM1	B1=10000000000
2011-01-06	monst	NF	no factor from 2^58 to 2^60