8 311 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
7460201293302505623521	22	72.7	old
186203835354248585976115725016606725887199431	45	147.1	2021-02-14 03:51:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	5612 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	AF911DAB034EEF66	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	AF911DAB034EEF66	1	3931	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	8AFABB28B5A122E1	1	8050	5	3
Verified	2021-02-14	riccardo uberti	8AFABB28B5A122E1	2	1853	5	3

History

Date	User	Type	Result
2023-08-30	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-12-08	onlinegame	NF-PM1	B1=1000000000, B2=10000000000, E=12
2021-02-14	riccardo uberti	C-PRP	M8311/7460201293302505623521/186203835354248585976115725016606725887199431 : 8AFABB28B5A122E1 PRP: Verified PRP without proof (small exponent)
2021-02-14	Bruno Victal	F-ECM	Factor: 186203835354248585976115725016606725887199431 / (ECM curve 67, B1=11000000, B2=36578884662, sigma=893345892046379)
2020-04-17	Oliver Kruse	C-PRP	M8311/7460201293302505623521 : 8AFABB28B5A122E1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8311/7460201293302505623521 : AF911DAB034EEF66 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8311/7460201293302505623521 : AF911DAB034EEF66 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8311/7460201293302505623521 : AF911DAB034EEF66 PRP without proof (not generated)