3 581 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
21487	5	14.4	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	16550 / 16550
55	110000000	11066 / 40830

Estimated T-Level: 51.4 ⓘ

TF below 2^166 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	CDD31D1F4F8EEA80	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	CDD31D1F4F8EEA80	1	2525	1	3
Verified	2020-04-17	Oliver Kruse	AFB655A5E1BC9437	1	251	5	3
Verified	2024-02-03	Wentao Huang	AFB655A5E1BC9437	1	1979	5	3

History

Date	User	Type	Result
2025-05-03	masser	NF-PP1	Start=127/43, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3581/21487 : AFB655A5E1BC9437 PRP: Verified PRP without proof (small exponent)
2022-06-20	mikr	NF-PM1	B1=120000000000, B2=314605609292724750
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3581/21487 : AFB655A5E1BC9437 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3581/21487 : CDD31D1F4F8EEA80 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3581/21487 : CDD31D1F4F8EEA80 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3581/21487 : CDD31D1F4F8EEA80 PRP without proof (not generated)