7 877 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
517471639	9	28.9	old
75013746274130407	17	56.1	old
436539569216807587121729	24	78.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6003 / 9201

Estimated T-Level: 43.3 ⓘ

TF below 2^139 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	0B2924AADAAA23AB	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	0B2924AADAAA23AB	3	0	1	3
Verified	2017-12-07	ATH	0B2924AADAAA23AB	3	5759	1	3
Verified	2020-04-17	Oliver Kruse	2E6ECB630EA2BE9B	3	250	5	3
Verified	2024-02-03	Wentao Huang	2E6ECB630EA2BE9B	3	2766	5	3

History

Date	User	Type	Result
2024-04-04	masser	NF-PM1	B1=50000000000, B2=28270808688952830
2024-02-03	Wentao Huang	C-PRP	M7877/517471639/75013746274130407/436539569216807587121729 : 2E6ECB630EA2BE9B PRP: Verified PRP without proof (small exponent)
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7877/517471639/75013746274130407/436539569216807587121729 : 2E6ECB630EA2BE9B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7877/517471639/75013746274130407/436539569216807587121729 : 0B2924AADAAA23AB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7877/517471639/75013746274130407/436539569216807587121729 : 0B2924AADAAA23AB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7877/known_factors : 0B2924AADAAA23AB PRP without proof (not generated)