8 423 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
353767	6	18.4	old
159204150607	12	37.2	old
13980624372977	14	43.7	old
27884688999289	14	44.7	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	6889 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	74E8EA4F4BFC7954	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	74E8EA4F4BFC7954	4	0	1	3
Verified	2017-12-07	ATH	74E8EA4F4BFC7954	4	2640	1	3
Verified	2020-04-17	Oliver Kruse	9905042104BD6C90	4	7031	5	3
Verified	2024-07-01	kkmrkkblmbrbk	9905042104BD6C90	4	410	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8423/13980624372977/159204150607/27884688999289/353767 : 9905042104BD6C90 PRP: Verified PRP without proof (small exponent)
2023-08-24	JacobZ	NF-PM1	B1=70000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8423/353767/159204150607/13980624372977/27884688999289 : 9905042104BD6C90 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8423/353767/159204150607/13980624372977/27884688999289 : 74E8EA4F4BFC7954 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8423/353767/159204150607/13980624372977/27884688999289 : 74E8EA4F4BFC7954 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8423/known_factors : 74E8EA4F4BFC7954 PRP without proof (not generated)