5 081 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
40911503911841	14	45.2	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	16550 / 16550
55	110000000	15680 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	4F02A6F92291349B	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	4F02A6F92291349B	1	3025	1	3
Verified	2020-04-17	Oliver Kruse	84B2785D97BCC402	1	1527	5	3
Verified	2024-02-03	Wentao Huang	84B2785D97BCC402	1	279	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5081/40911503911841 : 84B2785D97BCC402 PRP: Verified PRP without proof (small exponent)
2023-07-21	mikr	NF-PM1	B1=500000000000, B2=1925604981965164500
2023-06-11	-Anonymous-	NF-PM1	B1=62000000000, B2=622276884390511350
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242002648447560
2020-04-17	Oliver Kruse	C-PRP	M5081/40911503911841 : 84B2785D97BCC402 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5081/40911503911841 : 4F02A6F92291349B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5081/40911503911841 : 4F02A6F92291349B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5081/40911503911841 : 4F02A6F92291349B PRP without proof (not generated)