3 331 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
1961053495347223343004489751	28	90.7	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	16550 / 16550
55	110000000	13829 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 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	D0B49900A53DAD64	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D0B49900A53DAD64	1	1088	1	3
Verified	2020-04-17	Oliver Kruse	A92688C7455EE505	1	1705	5	3
Verified	2024-02-03	Wentao Huang	A92688C7455EE505	1	297	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3331/1961053495347223343004489751 : A92688C7455EE505 PRP: Verified PRP without proof (small exponent)
2022-03-22	mikr	NF-PM1	B1=80000000000, B2=268799861365815780
2020-04-17	Oliver Kruse	C-PRP	M3331/1961053495347223343004489751 : A92688C7455EE505 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3331/1961053495347223343004489751 : D0B49900A53DAD64 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3331/1961053495347223343004489751 : D0B49900A53DAD64 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3331/1961053495347223343004489751 : D0B49900A53DAD64 PRP without proof (not generated)