6 793 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
13261715767	11	33.6	old
2820866731064698218952289	25	81.2	old
24100529192705590107335812239508213440854401	44	144.1	2021-03-26 23:06:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2939 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 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	DDEFF8CFDA9DC752	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	DDEFF8CFDA9DC752	2	3057	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	ACE95B8B59CAA2FB	2	5932	5	3
Verified	2021-03-27	mikr	ACE95B8B59CAA2FB	3	3905	5	3
Verified	2021-03-28	mrh	ACE95B8B59CAA2FB	3	1627	5	3

History

Date	User	Type	Result
2023-08-14	-Anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-03-28	mrh	C-PRP	M6793/13261715767/2820866731064698218952289/24100529192705590107335812239508213440854401 : ACE95B8B59CAA2FB PRP: Verified PRP without proof (small exponent)
2021-03-27	mikr	C-PRP	M6793/13261715767/2820866731064698218952289/24100529192705590107335812239508213440854401 : ACE95B8B59CAA2FB PRP: Verified PRP without proof (small exponent)
2021-03-26	Ryan Propper	F-ECM	Factor: 24100529192705590107335812239508213440854401 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=9638020754721322753)
2020-04-17	Oliver Kruse	C-PRP	M6793/13261715767/2820866731064698218952289 : ACE95B8B59CAA2FB PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M6793/13261715767/2820866731064698218952289 : DDEFF8CFDA9DC752 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6793/13261715767/2820866731064698218952289 : DDEFF8CFDA9DC752 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6793/13261715767/2820866731064698218952289 : DDEFF8CFDA9DC752 PRP without proof (not generated)