4 278 121 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
94118663	8	26.5	old
2053498081	10	30.9	2008-09-07 23:39:47
16065886497833113	17	53.8	2014-10-15 11:48:08
41178181311900129271	20	65.2	2018-07-03 09:33:43

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	kkmrkkblmbrbk	69EE92A387295EE1	3	0	1	3
Verified (Factored)	2018-02-24	arnaud	69EE92A387295EE1	3	2818609	1	3
Verified (Factored)	2018-03-12	nate.anders	69EE92A387295EE1	3	778884	1	3
Verified	2018-07-05	_p95holder_	122DF1E9A7B5C29F	4	4016548	5	3
Verified	2018-07-06	arnaud	122DF1E9A7B5C29F	4	2896850	5	3

History

Date	User	Type	Result
2023-03-25	USAFSS	NF-PM1	B1=224000, B2=115821720
2022-07-22	LordJulius	NF	no factor from 2^64 to 2^65
2022-07-22	LordJulius	NF	no factor from 2^63 to 2^64
2018-07-06	arnaud	C-PRP	M4278121/94118663/2053498081/16065886497833113/41178181311900129271 : 122DF1E9A7B5C29F PRP: Verified PRP without proof (not generated)
2018-07-05	_p95holder_	C-PRP	M4278121/94118663/2053498081/16065886497833113/41178181311900129271 : 122DF1E9A7B5C29F PRP: Verified PRP without proof (not generated)
2018-07-03	TJAOI	F	Factor: 41178181311900129271 / TF: 65-66
2018-03-12	nate.anders	C-PRP	M4278121/94118663/2053498081/16065886497833113 : 69EE92A387295EE1 PRP: Verified PRP without proof (not generated)
2018-02-24	arnaud	C-PRP	M4278121/94118663/2053498081/16065886497833113 : 69EE92A387295EE1 PRP: Verified PRP without proof (not generated)
2017-10-05	kkmrkkblmbrbk	C-PRP	M4278121/94118663/2053498081/16065886497833113 : 69EE92A387295EE1 PRP: Verified PRP without proof (not generated)
2014-10-15	TJAOI	F	Factor: 16065886497833113 / TF: 53-54
2008-09-07	Will Edgington	F	Factor: 2053498081