2 687 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
198839	6	17.6	old
1918519	7	20.9	old
2434423	7	21.2	old
124157335530549222388320183613657	33	106.6	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	7230 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	E94783E4FECF3560	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E94783E4FECF3560	4	0	1	3
Verified	2017-12-07	ATH	E94783E4FECF3560	4	1713	1	3
Verified	2020-04-17	Oliver Kruse	FF8DC66825A92BFE	4	2546	5	3
Verified	2024-02-03	Wentao Huang	FF8DC66825A92BFE	4	373	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2687/198839/1918519/2434423/124157335530549222388320183613657 : FF8DC66825A92BFE PRP: Verified PRP without proof (small exponent)
2022-03-25	mikr	NF-PM1	B1=70000000000, B2=367286915855599740
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2687/198839/1918519/2434423/124157335530549222388320183613657 : FF8DC66825A92BFE PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2687/198839/1918519/2434423/124157335530549222388320183613657 : E94783E4FECF3560 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2687/198839/1918519/2434423/124157335530549222388320183613657 : E94783E4FECF3560 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2687/known_factors : E94783E4FECF3560 PRP without proof (not generated)