5 107 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
51071	5	15.6	old
146615002943539469543	21	67.0	old
5558130479795882876681	22	72.2	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	15061 / 40830

Estimated T-Level: 51.8 ⓘ

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	16D59B891DF03926	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	16D59B891DF03926	3	0	1	3
Verified	2017-12-07	ATH	16D59B891DF03926	3	2873	1	3
Verified	2020-04-17	Oliver Kruse	6E52A407E5B244D8	3	983	5	3
Verified	2024-02-03	Wentao Huang	6E52A407E5B244D8	3	4533	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5107/51071/146615002943539469543/5558130479795882876681 : 6E52A407E5B244D8 PRP: Verified PRP without proof (small exponent)
2023-06-12	-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=2000000000, B2=2385454626284730
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242017973957760
2020-04-17	Oliver Kruse	C-PRP	M5107/51071/146615002943539469543/5558130479795882876681 : 6E52A407E5B244D8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5107/51071/146615002943539469543/5558130479795882876681 : 16D59B891DF03926 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5107/51071/146615002943539469543/5558130479795882876681 : 16D59B891DF03926 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5107/known_factors : 16D59B891DF03926 PRP without proof (not generated)