3 864 193 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 2⁶⁴

Factored

Factor	Digits	Bits	Date
7366542336281137726289	22	72.6	2012-09-14 07:35:47

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored	1998-10-29	Philipp Hänggi	D6A47BB8B7E94AF3	0	Windows,Prime95,v16,(aka WS1)
Factored	1999-08-31	Tom Carney	D6A47BB8B7E94AF3	1448415	Windows,Prime95,v18,(aka WU1)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-09-20	kkmrkkblmbrbk	0BEA1394ADD7CFB3	1	0	1	3
Verified	PRP without proof (not generated)	2017-12-24	storm5510	0BEA1394ADD7CFB3	1	2488926	1	3

History

Date	User	Type	Result
2022-05-25	Joss	NF-PM1	B1=100000, B2=130364850
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-03	Joss	NF-PM1	B1=90000
2017-12-24	storm5510	C-PRP	M3864193/7366542336281137726289 : 0BEA1394ADD7CFB3
2017-09-20	kkmrkkblmbrbk	C-PRP	M3864193/7366542336281137726289 : 0BEA1394ADD7CFB3
2012-09-14	S36049	F-ECM	Factor: 7366542336281137726289
2012-02-29	GrunwalderGIMP	NF	no factor TF: 1-63
2011-10-20	Squeeky_Squirrel	NF-PM1	B1=70000, B2=1137500, E=6
2011-02-21	markr	NF	no factor TF: 61-62
2009-07-28	Carsten Kossendey	NF-PM1	B1=20000, B2=275000
2009-02-24	S485122	NF	no factor TF: 60-61
1999-08-31	-anonymous-	C-LL	D6A47BB8B7E94AF3
1998-10-29	-anonymous-	C-LL	D6A47BB8B7E94AF3
1998-06-20	-anonymous-	NF	no factor TF: 1-60