10 789 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 2⁴⁴

Factored

Factor	Digits	Bits	Date
5529173068689775165879839393919	31	102.1	old

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	2450 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	D555D9F07E0FA28D	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D555D9F07E0FA28D	1	8563	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E6B60E7597CE9614	1	9498	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	E6B60E7597CE9614	1	1904	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=125/29, B1=640000000, B2=639360000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-27	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10789/5529173068689775165879839393919 : E6B60E7597CE9614
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M10789/5529173068689775165879839393919 : E6B60E7597CE9614
2017-10-12	kkmrkkblmbrbk	C-PRP	M10789/5529173068689775165879839393919 : D555D9F07E0FA28D
2017-09-21	Oliver Kruse	C-PRP	M10789/5529173068689775165879839393919 : D555D9F07E0FA28D
2017-09-21	Oliver Kruse	C-PRP	M10789/5529173068689775165879839393919 : D555D9F07E0FA28D
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2001-07-22	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-07-03	Alex Kruppa	NF-PM1	B1=1000000, B2=100000000
2001-04-29	-anonymous-	NF-PM1	B1=100000, B2=10000000
2000-08-17	-anonymous-	NF	no factor TF: 1-56
2000-06-29	-anonymous-	NF	no factor TF: 1-55
2000-06-28	-anonymous-	NF	no factor TF: 1-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53