8 753 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
36317083512257497511	20	65.0	old
3664543812460610524250774141052052513	37	121.5	2018-06-07 18:42:06

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	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	5C4D83089796A0D2	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	5C4D83089796A0D2	1	5342	1	3
Verified	2018-06-09	Oliver Kruse	984311B24970CF6E	2	4618	5	3
Verified	2018-06-09	Daniil Tsarkov	984311B24970CF6E	2	5126	5	3
Verified (Factored)	2018-06-15	nokno	7389C70274FB2E36	1	0	1	3

History

Date	User	Type	Result
2023-08-07	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2018-06-15	nokno	C-PRP	M8753/known_factors : 7389C70274FB2E36 PRP: Verified (Factored) PRP without proof (not generated)
2018-06-09	Daniil Tsarkov	C-PRP	M8753/36317083512257497511/3664543812460610524250774141052052513 : 984311B24970CF6E PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-09	Oliver Kruse	C-PRP	M8753/36317083512257497511/3664543812460610524250774141052052513 : 984311B24970CF6E PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-07	James Hintz	F-ECM	Factor: 3664543812460610524250774141052052513 / (ECM curve 3260, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8753/36317083512257497511 : 5C4D83089796A0D2 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8753/36317083512257497511 : 5C4D83089796A0D2 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8753/36317083512257497511 : 5C4D83089796A0D2 PRP without proof (not generated)