199 343 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
9134787721897	13	43.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	167 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	B966959BD19929BF	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B966959BD19929BF	1	177503	1	3
Verified	2020-04-17	Oliver Kruse	8131E7BDC903A5D5	1	116239	5	3
Verified	2023-08-24	USAFSS	8131E7BDC903A5D5	1	1436	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M199343/9134787721897 : 8131E7BDC903A5D5 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M199343/9134787721897 : 8131E7BDC903A5D5 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-10-12	kkmrkkblmbrbk	C-PRP	M199343/9134787721897 : B966959BD19929BF PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M199343/9134787721897 : B966959BD19929BF PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M199343/9134787721897 : B966959BD19929BF PRP without proof (not generated)