98 773 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
592639	6	19.2	old
3635416621862743	16	51.7	2008-08-26 20:11:55
25885075627606719299104376966809826729	38	124.3	2022-09-19 16:53:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	343 / 1566

Estimated T-Level: 31.1 ⓘ

TF below 2^98 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	EFCBC45FB742951C	2	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	EFCBC45FB742951C	2	88881	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	4F59B71E3EF47FE7	2	68287	5	3
Verified	2022-09-19	George Woltman	4F59B71E3EF47FE7	3	71796	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-19	25885075627606719299104376966809826729	1000000000	73452492763650

History

Date	User	Type	Result
2022-09-19	George Woltman	C-PRP	M98773/592639/3635416621862743/25885075627606719299104376966809826729 : 4F59B71E3EF47FE7 PRP: Verified PRP without proof (small exponent)
2022-09-19	George Woltman	F-PM1	Factor: 25885075627606719299104376966809826729 / (P-1, B1=1000000000, B2=73452492763650)
2021-04-30	nordi	NF-PP1	Start=6/5, B1=40000000, B2=2000000000
2021-04-22	nordi	NF-PP1	Start=2/7, B1=40000000, B2=2000000000
2020-04-17	Oliver Kruse	C-PRP	M98773/592639/3635416621862743 : 4F59B71E3EF47FE7 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M98773/592639/3635416621862743 : EFCBC45FB742951C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M98773/592639/3635416621862743 : EFCBC45FB742951C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M98773/592639/3635416621862743 : EFCBC45FB742951C PRP without proof (not generated)
2017-02-05	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 3635416621862743