98 443 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
681207446489	12	39.3	old
796987201164582573543284417	27	89.4	2017-04-27 18:41:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	533 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	8439001687263623	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	8439001687263623	2	0	1	3
Verified	2017-12-07	ATH	8439001687263623	2	81781	1	3
Verified	2020-04-17	Oliver Kruse	C9CE9F34A8F64175	2	50542	5	3
Verified	2024-02-03	Wentao Huang	C9CE9F34A8F64175	2	77255	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M98443/681207446489/796987201164582573543284417 : C9CE9F34A8F64175 PRP: Verified PRP without proof (small exponent)
2022-08-31	George Woltman	NF-PM1	B1=1000000000, B2=70552596864750
2021-04-30	nordi	NF-PP1	Start=6/5, B1=40000000, B2=2000000000
2021-04-22	nordi	NF-PP1	Start=2/7, B1=40000000, B2=2000000000
2020-04-17	Oliver Kruse	C-PRP	M98443/681207446489/796987201164582573543284417 : C9CE9F34A8F64175 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M98443/681207446489/796987201164582573543284417 : 8439001687263623 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M98443/681207446489/796987201164582573543284417 : 8439001687263623 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M98443/known_factors : 8439001687263623 PRP without proof (not generated)
2017-04-27	kkmrkkblmbrbk	F-ECM	Factor: 796987201164582573543284417 / (ECM curve 580, B1=250000, B2=25000000)
2017-02-05	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12