6 691 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
321169	6	18.3	old
271153899089	12	38.0	old
109924040876430174768271	24	76.5	old
938800051860623080253280548359520027281075152407	48	159.4	2021-03-28 13:44:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1568 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 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	E0E31D00CB246F40	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E0E31D00CB246F40	3	0	1	3
Verified (Factored)	2017-12-07	ATH	E0E31D00CB246F40	3	4450	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F53DD37134757297	3	2946	5	3
Verified	2021-03-28	mikr	F53DD37134757297	4	5575	5	3

History

Date	User	Type	Result
2023-08-12	-Anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1080854750315340
2021-03-28	mikr	C-PRP	M6691/321169/271153899089/109924040876430174768271/938800051860623080253280548359520027281075152407 : F53DD37134757297 PRP: Verified PRP without proof (small exponent)
2021-03-28	Ryan Propper	F-ECM	Factor: 938800051860623080253280548359520027281075152407 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=2757707454346676187)
2020-04-17	Oliver Kruse	C-PRP	M6691/321169/271153899089/109924040876430174768271 : F53DD37134757297 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6691/321169/271153899089/109924040876430174768271 : E0E31D00CB246F40 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6691/321169/271153899089/109924040876430174768271 : E0E31D00CB246F40 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6691/known_factors : E0E31D00CB246F40 PRP without proof (not generated)