10 613 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
339617	6	18.4	old
19843649681743	14	44.2	2008-08-26 19:58:32
9631385028059523288191	22	73.0	2008-08-29 02:24:26
268806689454009183813918363333848350869097	42	137.6	2022-04-03 14:38:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1318 / 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 (Factored)	2017-09-21	Oliver Kruse	ECC823F7D4C5B223	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	ECC823F7D4C5B223	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	ECC823F7D4C5B223	3	37	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	E34E34FE0F3EA7BA	3	8709	5	3
Verified	2022-04-03	SRJ2877	E34E34FE0F3EA7BA	4	1950	5	3
Verified	2022-04-04	nullcure	E34E34FE0F3EA7BA	4	10341	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-09	9631385028059523288191	100000000000	120443211520241616

History

Date	User	Type	Result
2022-11-09	-Anonymous-	F-PM1	Factor: 9631385028059523288191 / (P-1, B1=100000000000, B2=120443211520241610)
2022-04-04	nullcure	C-PRP	M10613/339617/19843649681743/9631385028059523288191/268806689454009183813918363333848350869097 : E34E34FE0F3EA7BA PRP: Verified PRP without proof (small exponent)
2022-04-03	SRJ2877	C-PRP	M10613/339617/19843649681743/9631385028059523288191/268806689454009183813918363333848350869097 : E34E34FE0F3EA7BA PRP: Verified PRP without proof (small exponent)
2022-04-03	Ryan Propper	F-ECM	Factor: 268806689454009183813918363333848350869097 / (ECM curve 1, B1=110000000, B2=754319786236, Sigma=8895171255263648623)
2021-03-05	ViliamF	NF-PM1	B1=1000000000, B2=231000000000
2020-04-17	Oliver Kruse	C-PRP	M10613/339617/19843649681743/9631385028059523288191 : E34E34FE0F3EA7BA PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10613/339617/19843649681743/9631385028059523288191 : ECC823F7D4C5B223 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10613/339617/19843649681743/9631385028059523288191 : ECC823F7D4C5B223 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10613/known_factors : ECC823F7D4C5B223 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 9631385028059523288191
2008-08-26	-Anonymous-	F	Factor: 19843649681743