8 123 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
25798649	8	24.6	old
1331130322727	13	40.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	8864 / 9201

Estimated T-Level: 44.8 ⓘ

TF below 2^144 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	6E83F2219BA8B8ED	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	6E83F2219BA8B8ED	2	3245	1	3
Verified	2020-04-17	Oliver Kruse	85B01F41729DBC73	2	7656	5	3
Verified	2024-07-01	kkmrkkblmbrbk	85B01F41729DBC73	2	7748	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8123/1331130322727/25798649 : 85B01F41729DBC73 PRP: Verified PRP without proof (small exponent)
2023-06-04	JacobZ	NF-PM1	B1=73000000000, B2=299074993103236350
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8123/25798649/1331130322727 : 85B01F41729DBC73 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8123/25798649/1331130322727 : 6E83F2219BA8B8ED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8123/25798649/1331130322727 : 6E83F2219BA8B8ED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8123/25798649/1331130322727 : 6E83F2219BA8B8ED PRP without proof (not generated)