56 659 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
2159954399	10	31.0	old
56206072628254183	17	55.6	2009-06-20 03:25:15
49941145541623850664912791	26	85.4	2016-12-22 19:28:06
2577133603974955500763308055657	31	101.0	2018-12-19 03:13:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	543 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	F73CE99537377A54	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	F73CE99537377A54	3	0	1	3
Verified (Factored)	2017-12-07	ATH	F73CE99537377A54	3	39279	1	3
Verified	2018-12-19	Probably_Prime	613F709570D761B7	4	25351	5	3
Verified	2018-12-20	Oliver Kruse	613F709570D761B7	4	51147	5	3

History

Date	User	Type	Result
2023-04-24	JacobZ	NF-PM1	B1=610000000, B2=796623579982230
2021-05-04	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2018-12-20	Oliver Kruse	C-PRP	M56659/2159954399/56206072628254183/49941145541623850664912791/2577133603974955500763308055657 : 613F709570D761B7 PRP: Verified PRP without proof (small exponent)
2018-12-19	Probably_Prime	C-PRP	M56659/2159954399/56206072628254183/49941145541623850664912791/2577133603974955500763308055657 : 613F709570D761B7 PRP: Verified PRP without proof (small exponent)
2018-12-19	Niels_Mache_Nextcloud	F-ECM	Factor: 2577133603974955500763308055657 / (ECM curve 1, B1=1000000, B2=100000000)
2017-12-07	ATH	C-PRP	M56659/2159954399/56206072628254183/49941145541623850664912791 : F73CE99537377A54 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M56659/2159954399/56206072628254183/49941145541623850664912791 : F73CE99537377A54 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M56659/2159954399/56206072628254183/49941145541623850664912791 : F73CE99537377A54 PRP without proof (not generated)
2016-12-22	kkmrkkblmbrbk	F-ECM	Factor: 49941145541623850664912791 / (ECM curve 38, B1=250000, B2=25000000)
2016-10-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-06-20	Matthias Wurtinger	F-ECM	Factor: 56206072628254183