18 251 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
8906489	7	23.1	old
15933999049	11	33.9	2008-08-26 19:58:52
1805246306687	13	40.7	2008-08-26 19:58:52
199991921754527631857	21	67.4	2008-10-16 23:57:28
1899259591088318574191	22	70.7	2008-10-16 23:57:28
216919883452436235485395351961	30	97.5	2014-09-16 19:32:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4361 / 4588

Estimated T-Level: 39.8 ⓘ

TF below 2^127 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	CFE1085CB99437E7	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	CFE1085CB99437E7	6	0	1	3
Verified	2017-12-07	ATH	CFE1085CB99437E7	6	14437	1	3
Unverified	2020-04-17	Oliver Kruse	BCBCBC39A00325__	6	17043	5	3

History

Date	User	Type	Result
2023-05-19	JacobZ	NF-PM1	B1=5800000000, B2=16258362259549410
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M18251/8906489/15933999049/1805246306687/199991921754527631857/1899259591088318574191/216919883452436235485395351961 : BCBCBC39A00325__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M18251/8906489/15933999049/1805246306687/199991921754527631857/1899259591088318574191/216919883452436235485395351961 : CFE1085CB99437E7 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M18251/8906489/15933999049/1805246306687/199991921754527631857/1899259591088318574191/216919883452436235485395351961 : CFE1085CB99437E7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M18251/known_factors : CFE1085CB99437E7 PRP without proof (not generated)
2014-09-16	James Hintz	F-ECM	Factor: 216919883452436235485395351961 / (ECM curve 1, B1=250000, B2=25000000)
2008-10-16	-Anonymous-	F-ECM	Factor: 1899259591088318574191
2008-10-16	-Anonymous-	F-ECM	Factor: 199991921754527631857
2008-08-26	-Anonymous-	F	Factor: 1805246306687
2008-08-26	-Anonymous-	F	Factor: 15933999049