6 091 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
40684558428994327	17	55.2	old
506672467438242707089046677776626153	36	118.6	old
21492100043654063718235084728497934991	38	124.0	2016-11-18 03:36:51
199252581617833845994737736229806714423	39	127.2	2016-11-17 22:13:01

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	6829 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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)	2017-09-20	kkmrkkblmbrbk	BC0643F5715C9ABA	4	0	1	3
Verified	No proof (small exponent)	2017-09-25	George Woltman	BC0643F5715C9ABA	4	4282	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BC0643F5715C9ABA	4	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8B4CC1781857ADF1	4	787	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	8B4CC1781857ADF1	4	5196	5	3

History

Date	User	Type	Result
2025-03-17	masser	NF-PP1	Start=106/41, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-02-28	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6091/40684558428994327/506672467438242707089046677776626153/199252581617833845994737736229806714423/21492100043654063718235084728497934991 : 8B4CC1781857ADF1
2023-07-28	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M6091/40684558428994327/506672467438242707089046677776626153/21492100043654063718235084728497934991/199252581617833845994737736229806714423 : 8B4CC1781857ADF1
2017-10-02	kkmrkkblmbrbk	C-PRP	M6091/40684558428994327/506672467438242707089046677776626153/21492100043654063718235084728497934991/199252581617833845994737736229806714423 : BC0643F5715C9ABA
2017-09-25	George Woltman	C-PRP	M6091/known_factors : BC0643F5715C9ABA
2017-09-20	kkmrkkblmbrbk	C-PRP	M6091/40684558428994327/506672467438242707089046677776626153/21492100043654063718235084728497934991/199252581617833845994737736229806714423 : BC0643F5715C9ABA
2016-11-18	kkmrkkblmbrbk	F-ECM	Factor: 21492100043654063718235084728497934991
2016-11-17	kkmrkkblmbrbk	F-ECM	Factor: 199252581617833845994737736229806714423