6 637 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
5203409	7	22.3	old
2745627968879	13	41.3	old
387897458429273089879	21	68.4	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	F51973AB47E225C2	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F51973AB47E225C2	3	0	1	3
Verified	2017-12-07	ATH	F51973AB47E225C2	3	5028	1	3
Verified	2020-04-17	Oliver Kruse	907C113C6845FB21	3	5039	5	3
Verified	2024-02-03	Wentao Huang	907C113C6845FB21	3	97	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6637/5203409/2745627968879/387897458429273089879 : 907C113C6845FB21 PRP: Verified PRP without proof (small exponent)
2023-08-10	-Anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2020-04-17	Oliver Kruse	C-PRP	M6637/5203409/2745627968879/387897458429273089879 : 907C113C6845FB21 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6637/5203409/2745627968879/387897458429273089879 : F51973AB47E225C2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6637/5203409/2745627968879/387897458429273089879 : F51973AB47E225C2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6637/known_factors : F51973AB47E225C2 PRP without proof (not generated)