9 461 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
75689	5	16.2	old
1666802789839567	16	50.6	old
278644682226340989049	21	67.9	old
61270435535208255877849	23	75.7	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	6714 / 16550

Estimated T-Level: 47.0 ⓘ

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	8A1276B66684C68A	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	8A1276B66684C68A	4	0	1	3
Verified	2017-12-07	ATH	8A1276B66684C68A	4	2217	1	3
Verified	2020-04-17	Oliver Kruse	2D1AAF48B090FB0D	4	5592	5	3
Verified	2024-07-01	kkmrkkblmbrbk	2D1AAF48B090FB0D	4	4491	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9461/1666802789839567/278644682226340989049/61270435535208255877849/75689 : 2D1AAF48B090FB0D PRP: Verified PRP without proof (small exponent)
2023-06-30	JacobZ	NF-PM1	B1=61000000000, B2=254995794420917550
2022-11-24	Kevin_9611	NF-PM1	B1=1000000000, B2=100149831201420
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9461/75689/1666802789839567/278644682226340989049/61270435535208255877849 : 2D1AAF48B090FB0D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9461/75689/1666802789839567/278644682226340989049/61270435535208255877849 : 8A1276B66684C68A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9461/75689/1666802789839567/278644682226340989049/61270435535208255877849 : 8A1276B66684C68A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9461/known_factors : 8A1276B66684C68A PRP without proof (not generated)