5 101 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
8110591	7	23.0	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	15413 / 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	25B7444074F282F7	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	25B7444074F282F7	1	4296	1	3
Verified	2020-04-17	Oliver Kruse	1768DF5243687148	1	1324	5	3
Verified	2024-02-03	Wentao Huang	1768DF5243687148	1	3757	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5101/8110591 : 1768DF5243687148 PRP: Verified PRP without proof (small exponent)
2023-08-15	mikr	NF-PM1	B1=500000000000, B2=1311295166917335600
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=242017973957760
2020-04-17	Oliver Kruse	C-PRP	M5101/8110591 : 1768DF5243687148 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5101/8110591 : 25B7444074F282F7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5101/8110591 : 25B7444074F282F7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5101/8110591 : 25B7444074F282F7 PRP without proof (not generated)