195 527 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
738492768357540409	18	59.4	2008-12-09 10:17:03
202290167920852549620799	24	77.4	2015-06-12 09:26:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	628 / 640

Estimated T-Level: 29.9 ⓘ

TF below 2^94 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	0E3C3AFF	0
Verified (Factored)		Martin Eibl	9173FB7C4E3C3AFF	0
Verified (Factored)		Brian J. Beesley	9173FB7C4E3C3AFF	0
Verified (Factored)		Eivind Triel	9173FB7C4E3C3AFF	186079

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	303F3374F51A1695	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	303F3374F51A1695	2	190455	1	3
Verified	2020-04-17	Oliver Kruse	6616B9A972BE9069	2	3126	5	3
Verified	2023-08-24	USAFSS	6616B9A972BE9069	2	168428	5	3

History

Date	User	Type	Result
2023-08-24	LOBES	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M195527/738492768357540409/202290167920852549620799 : 6616B9A972BE9069 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M195527/738492768357540409/202290167920852549620799 : 6616B9A972BE9069 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M195527/738492768357540409/202290167920852549620799 : 303F3374F51A1695 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M195527/known_factors : 303F3374F51A1695 PRP without proof (not generated)
2017-06-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2015-06-12	TJAOI	F-ECM	Factor: 202290167920852549620799 / (ECM curve 35, B1=50000, B2=5000000)
2008-12-09	Sturle Sunde	F-ECM	Factor: 738492768357540409