10 009 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
35311753	8	25.1	old
104272300687	12	36.6	2008-08-26 19:58:29
10409374085465521	17	53.2	2008-08-29 02:24:24
890928517778601397463	21	69.6	2008-08-26 19:58:29
471665972292072738801190174090570295039414600748431	51	168.3	2024-07-21 12:10:05

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	4074 / 16550

Estimated T-Level: 46.2 ⓘ

TF below 2^149 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	28EBBDCC3D62AFF6	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	28EBBDCC3D62AFF6	4	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	28EBBDCC3D62AFF6	4	3817	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	ABAD982823C42E30	4	6540	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	ABAD982823C42E30	4	5391	5	3
Verified	No proof (small exponent)	2024-07-21	nordi	ABAD982823C42E30	5	2377	5	3

History

Date	User	Type	Result
2025-11-15	Joss	F-PP1	Factors: 35311753,104272300687,10409374085465521,890928517778601397463 / Start=2/7, B1=1000000000
2024-07-21	nordi	C-PRP	M10009/35311753/104272300687/10409374085465521/890928517778601397463/471665972292072738801190174090570295039414600748431 : ABAD982823C42E30
2024-07-21	nordi	F-ECM	Factor: 471665972292072738801190174090570295039414600748431 / ECM curve 1238, B1=44000000, B2=1117403522235, Edwards Sigma=4962759446694423
2024-07-01	kkmrkkblmbrbk	C-PRP	M10009/10409374085465521/104272300687/35311753/890928517778601397463 : ABAD982823C42E30
2022-01-30	-anonymous-	NF-PM1	B1=100000000000, B2=121050746501354670
2021-07-04	WoodMan777	NF-PM1	B1=3250000000
2021-04-27	fbaur	NF-PM1	B1=5733597928, B2=286679896413
2021-04-22	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2021-04-22	gLauss	NF-PP1	Start=2/7, B1=1000000, B2=100000000
2021-03-03	ViliamF	NF-PM1	B1=2500000000, B2=652500000000
2020-04-17	Oliver Kruse	C-PRP	M10009/35311753/104272300687/10409374085465521/890928517778601397463 : ABAD982823C42E30
2017-10-12	kkmrkkblmbrbk	C-PRP	M10009/35311753/104272300687/10409374085465521/890928517778601397463 : 28EBBDCC3D62AFF6
2017-10-02	kkmrkkblmbrbk	C-PRP	M10009/35311753/104272300687/10409374085465521/890928517778601397463 : 28EBBDCC3D62AFF6
2017-09-21	Oliver Kruse	C-PRP	M10009/known_factors : 28EBBDCC3D62AFF6
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-PM1	Factor: 10409374085465521
2008-08-26	-anonymous-	F-ECM	Factor: 890928517778601397463
2008-08-26	-anonymous-	F	Factor: 104272300687