6 911 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3415848123679	13	41.6	old
115160977902367	15	46.7	old
34994641591123048577093874332527	32	104.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	60144E379EAA569F	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	60144E379EAA569F	3	0	1	3
Verified	2017-12-07	ATH	60144E379EAA569F	3	945	1	3
Verified	2020-04-17	Oliver Kruse	48DE51C2BC264789	3	5355	5	3
Verified	2024-02-03	Wentao Huang	48DE51C2BC264789	3	3056	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6911/3415848123679/115160977902367/34994641591123048577093874332527 : 48DE51C2BC264789 PRP: Verified PRP without proof (small exponent)
2023-08-18	-Anonymous-	NF-PM1	B1=35000000000, B2=149103333456127050
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6911/3415848123679/115160977902367/34994641591123048577093874332527 : 48DE51C2BC264789 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6911/3415848123679/115160977902367/34994641591123048577093874332527 : 60144E379EAA569F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6911/3415848123679/115160977902367/34994641591123048577093874332527 : 60144E379EAA569F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6911/known_factors : 60144E379EAA569F PRP without proof (not generated)