172 867 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
182547553	9	27.4	old
140257621587061958257	21	66.9	2009-01-25 15:09:15
224503141575514749254912104150927373930353	42	137.4	2017-05-06 00:54:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	625 / 640

Estimated T-Level: 29.9 ⓘ

TF below 2^94 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	C4FCB7F7E6400C7A	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	C4FCB7F7E6400C7A	3	129625	1	3
Verified	2020-04-17	Oliver Kruse	49FF293D67C54815	3	32801	5	3
Verified	2024-02-03	Wentao Huang	49FF293D67C54815	3	131193	5	3

P-1 factors

Date	Factor	B1	B2
2017-05-06	224503141575514749254912104150927373930353	100000000	0

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M172867/182547553/140257621587061958257/224503141575514749254912104150927373930353 : 49FF293D67C54815 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M172867/182547553/140257621587061958257/224503141575514749254912104150927373930353 : 49FF293D67C54815 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M172867/182547553/140257621587061958257/224503141575514749254912104150927373930353 : C4FCB7F7E6400C7A PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M172867/known_factors : C4FCB7F7E6400C7A PRP without proof (not generated)
2017-05-06	kkmrkkblmbrbk	F-PM1	Factor: 224503141575514749254912104150927373930353 / (P-1, B1=100000000)
2009-01-25	George Woltman	F-ECM	Factor: 140257621587061958257