6 553 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
1454767	7	20.5	old
10286532433	11	33.3	old
2611194426510835751	19	61.2	old
48148787923258371689	20	65.4	old
973382568099005295683405431652392136927	39	129.5	2021-03-25 18:28:34
704835601527830495192246243470101686520878037017	48	158.9	2021-03-26 03:03:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1317 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	6977DA5AEE05274E	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	6977DA5AEE05274E	4	0	1	3
Verified (Factored)	2017-12-07	ATH	6977DA5AEE05274E	4	4505	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3FE02D4E1B3BE52D	4	4555	5	3
Verified (Factored)	2021-03-25	riccardo uberti	3FE02D4E1B3BE52D	5	1579	5	3
Verified	2021-03-26	mikr	3FE02D4E1B3BE52D	6	5139	5	3
Verified	2021-03-26	mnd9	3FE02D4E1B3BE52D	6	1265	5	3
Verified	2021-03-27	rbanov	3FE02D4E1B3BE52D	6	6142	5	3

History

Date	User	Type	Result
2023-08-09	-Anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-03-27	rbanov	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689/973382568099005295683405431652392136927/704835601527830495192246243470101686520878037017 : 3FE02D4E1B3BE52D PRP: Verified PRP without proof (small exponent)
2021-03-26	mnd9	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689/973382568099005295683405431652392136927/704835601527830495192246243470101686520878037017 : 3FE02D4E1B3BE52D PRP: Verified PRP without proof (small exponent)
2021-03-26	mikr	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689/973382568099005295683405431652392136927/704835601527830495192246243470101686520878037017 : 3FE02D4E1B3BE52D PRP: Verified PRP without proof (small exponent)
2021-03-26	Ryan Propper	F-ECM	Factor: 704835601527830495192246243470101686520878037017 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=17575257852775440633)
2021-03-25	riccardo uberti	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689/973382568099005295683405431652392136927 : 3FE02D4E1B3BE52D PRP: Verified PRP without proof (small exponent)
2021-03-25	Ryan Propper	F-ECM	Factor: 973382568099005295683405431652392136927 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=6631639742056748501)
2020-04-17	Oliver Kruse	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689 : 3FE02D4E1B3BE52D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689 : 6977DA5AEE05274E PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6553/1454767/10286532433/2611194426510835751/48148787923258371689 : 6977DA5AEE05274E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6553/known_factors : 6977DA5AEE05274E PRP without proof (not generated)