3 541 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
764857	6	19.5	old
53902951343063015377	20	65.5	old
7697415903242359504663	22	72.7	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	14876 / 40830

Estimated T-Level: 51.8 ⓘ

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	DE184C09F0CCE88B	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	DE184C09F0CCE88B	3	0	1	3
Verified	2017-12-07	ATH	DE184C09F0CCE88B	3	219	1	3
Verified	2020-04-17	Oliver Kruse	B4550117A1F6E3CD	3	3430	5	3
Verified	2024-02-03	Wentao Huang	B4550117A1F6E3CD	3	1256	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3541/764857/53902951343063015377/7697415903242359504663 : B4550117A1F6E3CD PRP: Verified PRP without proof (small exponent)
2022-06-11	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3541/764857/53902951343063015377/7697415903242359504663 : B4550117A1F6E3CD PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3541/764857/53902951343063015377/7697415903242359504663 : DE184C09F0CCE88B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3541/764857/53902951343063015377/7697415903242359504663 : DE184C09F0CCE88B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3541/known_factors : DE184C09F0CCE88B PRP without proof (not generated)