14 851 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
167538896916802750658356317502267528271	39	127.0	2009-06-03 01:40:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1542 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	0C74	0
Verified (Factored)		George Woltman	208CF814E6590C74	0
Verified (Factored)		Brian J. Beesley	208CF814E6590C74	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	26E2151924298605	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	26E2151924298605	1	11405	1	3
Unverified	2020-04-17	Oliver Kruse	B647ABFFE8A334__	1	13494	5	3

History

Date	User	Type	Result
2024-03-07	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-27	JacobZ	NF-PM1	B1=7300000000, B2=30020805351537000
2020-04-17	Oliver Kruse	C-PRP	M14851/167538896916802750658356317502267528271 : B647ABFFE8A334__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M14851/167538896916802750658356317502267528271 : 26E2151924298605 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14851/167538896916802750658356317502267528271 : 26E2151924298605 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14851/167538896916802750658356317502267528271 : 26E2151924298605 PRP without proof (not generated)
2009-06-03	-Anonymous-	F-ECM	Factor: 167538896916802750658356317502267528271