8 311 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	5661 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	AF911DAB034EEF66	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	AF911DAB034EEF66	1	3931	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8AFABB28B5A122E1	1	8050	5	3
Verified	No proof (small exponent)	2021-02-14	riccardo uberti	8AFABB28B5A122E1	2	1853	5	3

History

Date	User	Type	Result
2025-05-16	masser	NF-PP1	Start=186/29, B1=1300000000, B2=1298700000000
2023-08-30	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-12-08	onlinegame	NF-PM1	B1=1000000000, B2=10000000000
2021-02-14	riccardo uberti	C-PRP	M8311/7460201293302505623521/186203835354248585976115725016606725887199431 : 8AFABB28B5A122E1
2021-02-14	Bruno Victal	F-ECM	Factor: 186203835354248585976115725016606725887199431
2020-04-17	Oliver Kruse	C-PRP	M8311/7460201293302505623521 : 8AFABB28B5A122E1
2017-10-12	kkmrkkblmbrbk	C-PRP	M8311/7460201293302505623521 : AF911DAB034EEF66
2017-09-21	Oliver Kruse	C-PRP	M8311/7460201293302505623521 : AF911DAB034EEF66
2017-09-21	Oliver Kruse	C-PRP	M8311/7460201293302505623521 : AF911DAB034EEF66