6 781 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
108497	6	16.7	old
2091592872431	13	40.9	old
4441550321163963199	19	61.9	old
1321269609013837903207351	25	80.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2930 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 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	AC07749F75D4E8D8	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	AC07749F75D4E8D8	4	0	1	3
Verified	2017-12-07	ATH	AC07749F75D4E8D8	4	1641	1	3
Verified	2020-04-17	Oliver Kruse	1C9095ECD8AAC60A	4	356	5	3
Verified	2024-02-03	Wentao Huang	1C9095ECD8AAC60A	4	2500	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6781/108497/2091592872431/4441550321163963199/1321269609013837903207351 : 1C9095ECD8AAC60A PRP: Verified PRP without proof (small exponent)
2023-08-14	-Anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1080854750315340
2020-04-17	Oliver Kruse	C-PRP	M6781/108497/2091592872431/4441550321163963199/1321269609013837903207351 : 1C9095ECD8AAC60A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6781/108497/2091592872431/4441550321163963199/1321269609013837903207351 : AC07749F75D4E8D8 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6781/108497/2091592872431/4441550321163963199/1321269609013837903207351 : AC07749F75D4E8D8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6781/known_factors : AC07749F75D4E8D8 PRP without proof (not generated)