1 597 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
46421116904392458242754417331076737	35	115.2	old
48316324149219936973422647266327069023371707372348457	53	175.0	2014-10-17 23:45:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	162591 / 194238

Estimated T-Level: 64.2 ⓘ

TF below 2^208 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)	2017-09-21	Oliver Kruse	E6CEF3E8CD9C48AC	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E6CEF3E8CD9C48AC	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E6CEF3E8CD9C48AC	2	42	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	53A93A5FE1E90F95	2	920	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	53A93A5FE1E90F95	2	949	5	3

History

Date	User	Type	Result
2024-03-01	masser	NF-PM1	B1=250000000000, B2=511759028305324800
2022-01-25	Ethan O'Connor	NF-PM1	B1=13000000000, B2=100371492803541960
2022-01-25	Ethan O'Connor	NF-PM1	B1=1300000000, B2=10036658384863110
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1597/46421116904392458242754417331076737/48316324149219936973422647266327069023371707372348457 : 53A93A5FE1E90F95
2020-04-17	Oliver Kruse	C-PRP	M1597/46421116904392458242754417331076737/48316324149219936973422647266327069023371707372348457 : 53A93A5FE1E90F95
2017-12-07	ATH	C-PRP	M1597/46421116904392458242754417331076737/48316324149219936973422647266327069023371707372348457 : E6CEF3E8CD9C48AC
2017-10-02	kkmrkkblmbrbk	C-PRP	M1597/46421116904392458242754417331076737/48316324149219936973422647266327069023371707372348457 : E6CEF3E8CD9C48AC
2017-09-21	Oliver Kruse	C-PRP	M1597/known_factors : E6CEF3E8CD9C48AC
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2014-10-17	Matthias Wurtinger	F-ECM	Factor: 48316324149219936973422647266327069023371707372348457
1998-07-05	-anonymous-	NF	no factor TF: 50-52