8 641 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
46880604889	11	35.4	old
30353651823056120943831476457739926077297	41	134.5	old

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	8240 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	3ED3AEE8CD5EEDA2	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3ED3AEE8CD5EEDA2	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3ED3AEE8CD5EEDA2	2	2021	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	14E069E9CD31C680	2	5196	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	14E069E9CD31C680	2	659	5	3

History

Date	User	Type	Result
2025-05-06	masser	NF-PP1	Start=160/19, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M8641/30353651823056120943831476457739926077297/46880604889 : 14E069E9CD31C680
2023-08-13	JacobZ	NF-PM1	B1=68000000000, B2=265422648792401100
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=23528820345030
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=1556072768250
2020-04-17	Oliver Kruse	C-PRP	M8641/46880604889/30353651823056120943831476457739926077297 : 14E069E9CD31C680
2017-12-07	ATH	C-PRP	M8641/46880604889/30353651823056120943831476457739926077297 : 3ED3AEE8CD5EEDA2
2017-10-02	kkmrkkblmbrbk	C-PRP	M8641/46880604889/30353651823056120943831476457739926077297 : 3ED3AEE8CD5EEDA2
2017-09-21	Oliver Kruse	C-PRP	M8641/known_factors : 3ED3AEE8CD5EEDA2