2 688 629 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
467821447	9	28.8	old
2826921038050707431	19	61.3	2016-04-15 11:50:28
39341594460620381441	20	65.1	2018-05-30 12:27:08
819999550930095637233023	24	79.4	2019-06-08 08:13:49

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)	2017-10-19	Oliver Kruse	7E2859B377F1260B	2	268043	5	3
Verified (Factored)	2017-12-04	kkmrkkblmbrbk	7E2859B377F1260B	2	2137921	5	3
Verified (Factored)	2018-06-01	_p95holder_	7E2859B377F1260B	3	356141	5	3
Verified	2019-06-11	vnatin	7E2859B377F1260B	4	1159303	5	3

P-1 factors

Date	Factor	B1	B2
2019-06-08	819999550930095637233023	2000000	60000000

History

Date	User	Type	Result
2022-03-11	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-11	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-11	LordJulius	NF	no factor from 2^62 to 2^63
2019-06-11	vnatin	C-PRP	M2688629/467821447/2826921038050707431/39341594460620381441/819999550930095637233023 : 7E2859B377F1260B PRP: Verified PRP without proof (not generated)
2019-06-08	alpertron	F-PM1	Factor: 819999550930095637233023 / (P-1, B1=2000000, B2=60000000, E=12)
2018-06-01	_p95holder_	C-PRP	M2688629/467821447/2826921038050707431/39341594460620381441 : 7E2859B377F1260B PRP: Verified PRP without proof (not generated)
2018-05-30	TJAOI	F	Factor: 39341594460620381441 / TF: 65-66
2017-12-04	kkmrkkblmbrbk	C-PRP	M2688629/467821447/2826921038050707431 : 7E2859B377F1260B PRP: Verified PRP without proof (not generated)
2017-10-19	Oliver Kruse	C-PRP	M2688629/467821447/2826921038050707431 : 7E2859B377F1260B PRP: Verified PRP without proof (not generated)
2016-04-15	TJAOI	F	Factor: 2826921038050707431 / TF: 61-62