3 511 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
35111	5	15.1	old
161544150527	12	37.2	old
67524431877448905876399670391	29	95.8	old
884769733607695673867097449316473356793	39	129.4	2019-03-16 01:00:39

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	18902 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	E711E02314B4F2E3	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E711E02314B4F2E3	3	0	1	3
Verified (Factored)	2017-12-07	ATH	E711E02314B4F2E3	3	3096	1	3
Verified	2019-03-16	ANONYMOUS	BC6FF045A4C331C0	4	434	5	3
Verified	2019-03-16	artorollo	BC6FF045A4C331C0	4	3326	5	3
Verified	2020-04-17	Oliver Kruse	BC6FF045A4C331C0	4	1449	5	3

History

Date	User	Type	Result
2022-05-31	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	M3511/35111/161544150527/67524431877448905876399670391/884769733607695673867097449316473356793 : BC6FF045A4C331C0 PRP: Verified PRP without proof (small exponent)
2019-03-16	artorollo	C-PRP	M3511/35111/161544150527/67524431877448905876399670391/884769733607695673867097449316473356793 : BC6FF045A4C331C0 PRP: Verified PRP without proof (small exponent)
2019-03-16	ANONYMOUS	C-PRP	M3511/35111/161544150527/67524431877448905876399670391/884769733607695673867097449316473356793 : BC6FF045A4C331C0 PRP: Verified PRP without proof (small exponent)
2019-03-16	James Hintz	F-ECM	Factor: 884769733607695673867097449316473356793 / (ECM curve 805, B1=11000000, B2=1100000000)
2017-12-07	ATH	C-PRP	M3511/35111/161544150527/67524431877448905876399670391 : E711E02314B4F2E3 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3511/35111/161544150527/67524431877448905876399670391 : E711E02314B4F2E3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3511/known_factors : E711E02314B4F2E3 PRP without proof (not generated)