158 777 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
578753779250729828783	21	69.0	old
6844617011334238321933199063	28	92.5	2018-09-27 00:52:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	168 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	EE5156B776240943	1	0	1	3
Verified (Factored)	2017-10-11	kkmrkkblmbrbk	EE5156B776240943	1	109642	1	3
Verified	2018-09-28	Oliver Kruse	046C7693C4467CBD	2	20630	5	3
Verified	2018-09-28	rucio	046C7693C4467CBD	2	71410	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2018-09-28	rucio	C-PRP	M158777/578753779250729828783/6844617011334238321933199063 : 046C7693C4467CBD PRP: Verified PRP without proof (small exponent)
2018-09-28	Oliver Kruse	C-PRP	M158777/578753779250729828783/6844617011334238321933199063 : 046C7693C4467CBD PRP: Verified PRP without proof (small exponent)
2018-09-27	Niels_Mache_Nextcloud	F-ECM	Factor: 6844617011334238321933199063 / (ECM curve 1, B1=250000, B2=25000000)
2017-10-11	kkmrkkblmbrbk	C-PRP	M158777/578753779250729828783 : EE5156B776240943 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M158777/578753779250729828783 : EE5156B776240943 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M158777/578753779250729828783 : EE5156B776240943 PRP without proof (not generated)
2017-01-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12