5 881 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
662671081	9	29.3	old
23162875578466007	17	54.4	old
853231815854679662443369	24	79.5	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	2627 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	6C83EB867359DE08	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	6C83EB867359DE08	3	0	1	3
Verified	2017-12-07	ATH	6C83EB867359DE08	3	1986	1	3
Verified	2020-04-17	Oliver Kruse	D90F7E98789F0F12	3	1550	5	3
Verified	2024-02-03	Wentao Huang	D90F7E98789F0F12	3	3309	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5881/662671081/23162875578466007/853231815854679662443369 : D90F7E98789F0F12 PRP: Verified PRP without proof (small exponent)
2023-07-24	-Anonymous-	NF-PM1	B1=42000000000, B2=171618937469779800
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5881/662671081/23162875578466007/853231815854679662443369 : D90F7E98789F0F12 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5881/662671081/23162875578466007/853231815854679662443369 : 6C83EB867359DE08 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5881/662671081/23162875578466007/853231815854679662443369 : 6C83EB867359DE08 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5881/known_factors : 6C83EB867359DE08 PRP without proof (not generated)