18 443 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
36887	5	15.2	old
85317319	8	26.3	2008-08-26 19:58:53
648679851793	12	39.2	2008-08-26 19:58:53
85242031882078121	17	56.2	2008-08-26 19:58:53
9362582970796460599985193889	28	92.9	2009-06-08 08:06:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1639 / 4588

Estimated T-Level: 36.8 ⓘ

TF below 2^117 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	5AB6613DAB392BF3	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	5AB6613DAB392BF3	5	0	1	3
Verified	2017-12-07	ATH	5AB6613DAB392BF3	5	7078	1	3
Verified	2020-04-17	Oliver Kruse	1659C8C358A74BAA	5	11986	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	1659C8C358A74BAA	1	1158	5	3
Verified	2024-07-01	kkmrkkblmbrbk	1659C8C358A74BAA	5	13768	5	3

History

Date	User	Type	Result
2025-01-04	masser	NF-PP1	Start=6/5, B1=132000000, B2=131868000000
2024-12-28	masser	NF-PP1	Start=148/43, B1=132000000, B2=131868000000
2024-12-10	masser	NF-PP1	Start=2/7, B1=132000000, B2=131868000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M18443/36887/648679851793/85242031882078121/85317319/9362582970796460599985193889 : 1659C8C358A74BAA PRP: Verified PRP without proof (small exponent)
2023-05-19	JacobZ	NF-PM1	B1=5700000000, B2=16709983434234090
2022-05-12	Jorge Coveiro	C-PRP	M18443/36887 : 1659C8C358A74BAA PRP: Verified PRP without proof (small exponent)
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M18443/36887/85317319/648679851793/85242031882078121/9362582970796460599985193889 : 1659C8C358A74BAA PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M18443/36887/85317319/648679851793/85242031882078121/9362582970796460599985193889 : 5AB6613DAB392BF3 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M18443/36887/85317319/648679851793/85242031882078121/9362582970796460599985193889 : 5AB6613DAB392BF3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M18443/known_factors : 5AB6613DAB392BF3 PRP without proof (not generated)
2009-06-08	unconnected	F-ECM	Factor: 9362582970796460599985193889
2008-08-26	-Anonymous-	F-ECM	Factor: 85242031882078121
2008-08-26	-Anonymous-	F	Factor: 648679851793
2008-08-26	-Anonymous-	F	Factor: 85317319