3 613 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
206916511	9	27.6	old
18917957041	11	34.1	old
4775818007497	13	42.1	old
24997875907664633	17	54.5	old
139299003167571424465657191663434304252697	42	136.7	2010-05-06 14:47:43

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	13954 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	CB5682E4CA637E17	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	CB5682E4CA637E17	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	CB5682E4CA637E17	5	2947	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9D5BEDEE7A44DC66	5	279	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	9D5BEDEE7A44DC66	5	1405	5	3

History

Date	User	Type	Result
2025-05-03	masser	NF-PP1	Start=141/59, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M3613/206916511/18917957041/4775818007497/24997875907664633/139299003167571424465657191663434304252697 : 9D5BEDEE7A44DC66
2022-06-27	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3613/206916511/18917957041/4775818007497/24997875907664633/139299003167571424465657191663434304252697 : 9D5BEDEE7A44DC66
2017-12-07	ATH	C-PRP	M3613/206916511/18917957041/4775818007497/24997875907664633/139299003167571424465657191663434304252697 : CB5682E4CA637E17
2017-10-02	kkmrkkblmbrbk	C-PRP	M3613/206916511/18917957041/4775818007497/24997875907664633/139299003167571424465657191663434304252697 : CB5682E4CA637E17
2017-09-21	Oliver Kruse	C-PRP	M3613/known_factors : CB5682E4CA637E17
2011-02-05	James Hintz	F-PM1	Factor: 24997875907664633
2010-05-06	James Hintz	F-ECM	Factor: 139299003167571424465657191663434304252697
2009-10-25	Carsten Kossendey	F-PM1	Factor: 24702790963357998245363187760094606111