194 197 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1165183	7	20.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	224 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-22	Oliver Kruse	A0E7B1A6853F76DD	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A0E7B1A6853F76DD	1	176184	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C702092FB36C6AC7	1	162452	5	3
Verified	Certified Good	2023-08-24	USAFSS	C702092FB36C6AC7	1	187910	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	Proof certified good
2023-08-24	USAFSS	C-PRP	Proof Certified Good Proof Power: 5
2021-07-12	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2020-04-17	Oliver Kruse	C-PRP	M194197/1165183 : C702092FB36C6AC7
2017-10-12	kkmrkkblmbrbk	C-PRP	M194197/1165183 : A0E7B1A6853F76DD
2017-09-22	Oliver Kruse	C-PRP	M194197/1165183 : A0E7B1A6853F76DD
2017-09-22	Oliver Kruse	C-PRP	M194197/1165183 : A0E7B1A6853F76DD
2017-09-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12