13 697 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
82183	5	16.3	old
271461483230835463193	21	67.9	2008-08-29 02:24:33
46076643238702238750761	23	75.3	2008-08-26 19:58:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1329 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	C1D13836C71A6C5C	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	C1D13836C71A6C5C	3	0	1	3
Verified	2017-12-07	ATH	C1D13836C71A6C5C	3	6972	1	3
Unverified	2020-04-17	Oliver Kruse	E8E9D87C630E1F__	3	12759	5	3

History

Date	User	Type	Result
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13697/82183/271461483230835463193/46076643238702238750761 : E8E9D87C630E1F__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M13697/82183/271461483230835463193/46076643238702238750761 : C1D13836C71A6C5C PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13697/82183/271461483230835463193/46076643238702238750761 : C1D13836C71A6C5C PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13697/known_factors : C1D13836C71A6C5C PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 271461483230835463193
2008-08-26	-Anonymous-	F-ECM	Factor: 46076643238702238750761