6 857 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1567422963895137373273	22	70.4	old
791397821802294808664753	24	79.4	old
2131430813006993112582767	25	80.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1299 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	A84302FF81C417AB	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A84302FF81C417AB	3	0	1	3
Verified	2017-12-07	ATH	A84302FF81C417AB	3	2637	1	3
Verified	2020-04-17	Oliver Kruse	E9E65C6235107903	3	6240	5	3
Verified	2024-02-03	Wentao Huang	E9E65C6235107903	3	2077	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : E9E65C6235107903 PRP: Verified PRP without proof (small exponent)
2023-08-17	-Anonymous-	NF-PM1	B1=35000000000, B2=149103333456127050
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : E9E65C6235107903 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : A84302FF81C417AB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : A84302FF81C417AB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6857/known_factors : A84302FF81C417AB PRP without proof (not generated)