16 607 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
126777839	9	26.9	old
58287897764750016684648760923536522588527	41	135.4	2022-01-05 03:45:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1353 / 4588

Estimated T-Level: 36.5 ⓘ

TF below 2^116 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	69F2057312DA9835	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	69F2057312DA9835	1	716	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	34C3630FAE2419AC	1	4851	5	3
Verified	2022-01-05	SRJ2877	34C3630FAE2419AC	2	13970	5	3

History

Date	User	Type	Result
2023-05-25	JacobZ	NF-PM1	B1=6400000000, B2=21797983496949660
2023-02-12	USAFSS	NF-PM1	B1=60000000, B2=4543108760190
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2022-01-05	SRJ2877	C-PRP	M16607/126777839/58287897764750016684648760923536522588527 : 34C3630FAE2419AC PRP: Verified PRP without proof (small exponent)
2022-01-05	nordi	F-ECM	Factor: 58287897764750016684648760923536522588527 / (ECM curve 439, B1=3000000, B2=300000000, Sigma=5282350859728564)
2020-04-17	Oliver Kruse	C-PRP	M16607/126777839 : 34C3630FAE2419AC PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M16607/126777839 : 69F2057312DA9835 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M16607/126777839 : 69F2057312DA9835 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M16607/126777839 : 69F2057312DA9835 PRP without proof (not generated)