10 337 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
163076513	9	27.3	old
227226495999257	15	47.7	2008-08-26 19:58:31
315625945931651573590242217	27	88.0	2008-08-29 02:24:25

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	3287 / 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	68C2C1F61DD9D36D	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	68C2C1F61DD9D36D	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	68C2C1F61DD9D36D	3	8951	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	52C219901932CC25	3	1191	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	52C219901932CC25	3	4317	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=131/61, B1=640000000, B2=639360000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-29	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10337/163076513/227226495999257/315625945931651573590242217 : 52C219901932CC25
2022-10-22	-anonymous-	NF-PM1	B1=100000000000, B2=120170262311539440
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10337/163076513/227226495999257/315625945931651573590242217 : 52C219901932CC25
2017-10-12	kkmrkkblmbrbk	C-PRP	M10337/163076513/227226495999257/315625945931651573590242217 : 68C2C1F61DD9D36D
2017-10-02	kkmrkkblmbrbk	C-PRP	M10337/163076513/227226495999257/315625945931651573590242217 : 68C2C1F61DD9D36D
2017-09-21	Oliver Kruse	C-PRP	M10337/163076513/227226495999257/315625945931651573590242217 : 68C2C1F61DD9D36D
2017-09-21	Oliver Kruse	C-PRP	M10337/163076513/227226495999257/315625945931651573590242217 : 68C2C1F61DD9D36D
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 315625945931651573590242217
2008-08-26	-anonymous-	F-PM1	Factor: 227226495999257