3 529 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
105871	6	16.7	old
5335849	7	22.3	old
13523129	8	23.7	old
487249031	9	28.9	old
1417154647	10	30.4	old
75849266197861285423491366877689628196963687	44	145.8	2019-11-19 20:46:07

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	13650 / 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 (Factored)	2017-09-21	Oliver Kruse	84C0C04DAD3509A9	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	84C0C04DAD3509A9	5	0	1	3
Verified (Factored)	2017-12-07	ATH	84C0C04DAD3509A9	5	1129	1	3
Verified	2019-11-19	ATH	34FBB2E74307218A	6	2375	5	3
Verified	2019-11-20	marssystems	34FBB2E74307218A	6	153	5	3
Verified	2020-04-17	Oliver Kruse	34FBB2E74307218A	6	469	5	3

History

Date	User	Type	Result
2022-06-04	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3529/105871/5335849/13523129/487249031/1417154647/75849266197861285423491366877689628196963687 : 34FBB2E74307218A PRP: Verified PRP without proof (small exponent)
2019-11-20	marssystems	C-PRP	M3529/105871/5335849/13523129/487249031/1417154647/75849266197861285423491366877689628196963687 : 34FBB2E74307218A PRP: Verified PRP without proof (small exponent)
2019-11-19	ATH	C-PRP	M3529/105871/5335849/13523129/487249031/1417154647/75849266197861285423491366877689628196963687 : 34FBB2E74307218A PRP: Verified PRP without proof (small exponent)
2019-11-19	Ryan Propper	F-ECM	Factor: 75849266197861285423491366877689628196963687 / (ECM curve 1, B1=110000000)
2017-12-07	ATH	C-PRP	M3529/105871/5335849/13523129/487249031/1417154647 : 84C0C04DAD3509A9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3529/105871/5335849/13523129/487249031/1417154647 : 84C0C04DAD3509A9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3529/known_factors : 84C0C04DAD3509A9 PRP without proof (not generated)