10 589 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
2033089	7	21.0	old
785321985229228231193737	24	79.4	2008-08-29 02:24:26

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	3289 / 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	A68D529DFFC9BBAA	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A68D529DFFC9BBAA	2	9533	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	062A71C4FFBAE929	2	6741	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	062A71C4FFBAE929	2	5560	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=85/71, B1=640000000, B2=639360000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10589/2033089/785321985229228231193737 : 062A71C4FFBAE929
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-03-03	ViliamF	NF-PM1	B1=2500000000, B2=602500000000
2020-04-17	Oliver Kruse	C-PRP	M10589/2033089/785321985229228231193737 : 062A71C4FFBAE929
2017-10-12	kkmrkkblmbrbk	C-PRP	M10589/2033089/785321985229228231193737 : A68D529DFFC9BBAA
2017-09-21	Oliver Kruse	C-PRP	M10589/2033089/785321985229228231193737 : A68D529DFFC9BBAA
2017-09-21	Oliver Kruse	C-PRP	M10589/2033089/785321985229228231193737 : A68D529DFFC9BBAA
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 785321985229228231193737