858 833 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
4680140893791991	16	52.1	old
20113155741416341538949121	26	84.1	2016-01-22 16:35:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	606B951C15546A89	2	0	1	3
Verified	2017-10-14	Oliver Kruse	606B951C15546A89	2	283977	1	3
Verified	2020-04-22	Oliver Kruse	F862E0609D7B4930	2	562820	5	3
Verified	2025-05-03	kkmrkkblmbrbk	F862E0609D7B4930	2	759906	5	3

History

Date	User	Type	Result
2025-05-03	V0rtex762	CERT	PRP Certification Proof certified good
2025-05-03	kkmrkkblmbrbk	C-PRP	M858833/4680140893791991/20113155741416341538949121 : F862E0609D7B4930 PRP proof power = 6 PRP: Verified Proof certified good
2020-04-22	Oliver Kruse	C-PRP	M858833/4680140893791991/20113155741416341538949121 : F862E0609D7B4930 PRP: Verified PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M858833/4680140893791991/20113155741416341538949121 : 606B951C15546A89 PRP: Verified PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M858833/20113155741416341538949121/4680140893791991 : 606B951C15546A89 PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M858833/4680140893791991/20113155741416341538949121 : 606B951C15546A89 PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2016-01-22	TJAOI	F-ECM	Factor: 20113155741416341538949121 / (ECM curve 76, B1=50000, B2=5000000)