10 039 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
45613381103	11	35.4	old
26233742370137	14	44.6	2008-08-26 19:58:29

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	3354 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	FC102B4F473EA560	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	FC102B4F473EA560	2	8679	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9588992746B6981F	2	9370	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9588992746B6981F	2	6492	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10039/26233742370137/45613381103 : 9588992746B6981F
2022-01-31	-anonymous-	NF-PM1	B1=100000000000, B2=121050746501354670
2021-04-27	fbaur	NF-PM1	B1=5733597928, B2=286679896413
2021-04-22	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2021-03-03	ViliamF	NF-PM1	B1=1000000000, B2=231000000000
2020-04-17	Oliver Kruse	C-PRP	M10039/45613381103/26233742370137 : 9588992746B6981F
2017-10-12	kkmrkkblmbrbk	C-PRP	M10039/45613381103/26233742370137 : FC102B4F473EA560
2017-09-21	Oliver Kruse	C-PRP	M10039/45613381103/26233742370137 : FC102B4F473EA560
2017-09-21	Oliver Kruse	C-PRP	M10039/45613381103/26233742370137 : FC102B4F473EA560
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F-PM1	Factor: 26233742370137