1 078 169 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
860378863	9	29.7	old
23760688423	11	34.5	2008-07-16 09:31:03
104002338079	12	36.6	2008-07-16 09:31:03
773667158005793873	18	59.4	2015-11-19 12:39:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	5AAA56F7350D9455	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	53E8CF3A5AAF8107	4	0	1	3
Verified	2017-10-16	Oliver Kruse	53E8CF3A5AAF8107	4	132133	1	3

History

Date	User	Type	Result
2025-09-01	Sparky70	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	5AAA56F7350D9455 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-08-20	cramsey87	NF-PM1	B1=7000000, B2=44808781290
2022-04-12	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-12	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-12	LordJulius	NF	no factor from 2^61 to 2^62
2017-10-16	Oliver Kruse	C-PRP	M1078169/860378863/104002338079/23760688423/773667158005793873 : 53E8CF3A5AAF8107 PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1078169/104002338079/23760688423/773667158005793873/860378863 : 53E8CF3A5AAF8107 PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M1078169/860378863/104002338079/23760688423/773667158005793873 : 53E8CF3A5AAF8107 PRP without proof (not generated)
2015-11-19	TJAOI	F	Factor: 773667158005793873 / TF: 59-60
2008-07-16	J Feitsma	F	Factor: 23760688423
2008-07-16	J Feitsma	F	Factor: 104002338079