196 051 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
5145514451694917367194977	25	82.1	2015-06-19 10:46:38
352694511881423072577947743	27	88.2	2009-05-08 07:16:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	624 / 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	2DF0E031	0
Verified (Factored)		Martin Eibl	EAABDE392DF0E031	0
Verified (Factored)		Brian J. Beesley	EAABDE392DF0E031	0
Verified (Factored)		Eivind Triel	EAABDE392DF0E031	176379

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	3911F2DB8796FEAA	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	3911F2DB8796FEAA	2	125018	1	3
Verified	2020-04-17	Oliver Kruse	1F9E8FE3B28646B2	2	40875	5	3
Verified	2023-08-24	USAFSS	1F9E8FE3B28646B2	2	4782	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M196051/5145514451694917367194977/352694511881423072577947743 : 1F9E8FE3B28646B2 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M196051/5145514451694917367194977/352694511881423072577947743 : 1F9E8FE3B28646B2 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M196051/352694511881423072577947743/5145514451694917367194977 : 3911F2DB8796FEAA PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M196051/known_factors : 3911F2DB8796FEAA PRP without proof (not generated)
2017-08-23	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2015-06-19	TJAOI	F-ECM	Factor: 5145514451694917367194977 / (ECM curve 88, B1=50000, B2=5000000)
2009-05-08	ClknGo Software	F-ECM	Factor: 352694511881423072577947743
2009-02-04	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-27	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59