5 701 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1918055679217805939887	22	70.7	old
15288773136296711823241	23	73.7	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	4329 / 16550

Estimated T-Level: 46.3 ⓘ

TF below 2^149 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	176681C9E706F4BB	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	176681C9E706F4BB	2	0	1	3
Verified	2017-12-07	ATH	176681C9E706F4BB	2	3771	1	3
Verified	2020-04-17	Oliver Kruse	19649BC5F5C45E0D	2	539	5	3
Verified	2024-02-03	Wentao Huang	19649BC5F5C45E0D	2	4035	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5701/1918055679217805939887/15288773136296711823241 : 19649BC5F5C45E0D PRP: Verified PRP without proof (small exponent)
2023-07-18	-Anonymous-	NF-PM1	B1=44000000000, B2=181125506302390650
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006397938886340
2020-04-17	Oliver Kruse	C-PRP	M5701/1918055679217805939887/15288773136296711823241 : 19649BC5F5C45E0D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5701/1918055679217805939887/15288773136296711823241 : 176681C9E706F4BB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5701/1918055679217805939887/15288773136296711823241 : 176681C9E706F4BB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5701/known_factors : 176681C9E706F4BB PRP without proof (not generated)