2 741 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
82231	5	16.3	old
77986282883139621602511217283307569	35	115.9	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	7040 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	0D3502B7281FC256	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	0D3502B7281FC256	2	0	1	3
Verified	2017-12-07	ATH	0D3502B7281FC256	2	557	1	3
Verified	2020-04-17	Oliver Kruse	A1808A8EE6F2409D	2	441	5	3
Verified	2024-02-03	Wentao Huang	A1808A8EE6F2409D	2	1213	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2741/82231/77986282883139621602511217283307569 : A1808A8EE6F2409D PRP: Verified PRP without proof (small exponent)
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2741/82231/77986282883139621602511217283307569 : A1808A8EE6F2409D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2741/82231/77986282883139621602511217283307569 : 0D3502B7281FC256 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2741/82231/77986282883139621602511217283307569 : 0D3502B7281FC256 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2741/known_factors : 0D3502B7281FC256 PRP without proof (not generated)