198 593 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
12312767	8	23.6	old
1650307831	10	30.6	2008-07-27 10:50:11
2153422420611740831771047	25	80.8	2015-06-12 09:26:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	177 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 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	A6D6CE69EFC3615B	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	A6D6CE69EFC3615B	3	143002	1	3
Verified	2020-04-17	Oliver Kruse	45AD849B7FAAE64C	3	112119	5	3
Verified	2023-08-24	USAFSS	45AD849B7FAAE64C	3	153463	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M198593/12312767/1650307831/2153422420611740831771047 : 45AD849B7FAAE64C PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M198593/12312767/1650307831/2153422420611740831771047 : 45AD849B7FAAE64C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M198593/12312767/1650307831/2153422420611740831771047 : A6D6CE69EFC3615B PRP: Verified PRP without proof (small exponent)
2017-09-30	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-09-22	Oliver Kruse	C-PRP	M198593/known_factors : A6D6CE69EFC3615B PRP without proof (not generated)
2015-06-12	TJAOI	F-ECM	Factor: 2153422420611740831771047 / (ECM curve 78, B1=50000, B2=5000000)
2008-07-27	J Feitsma	F	Factor: 1650307831