10 301 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
4532441	7	22.1	old
10946227362953	14	43.3	2008-08-26 19:58:31
401565398179806088154784206807	30	98.3	2008-10-16 23:57:24

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	7298 / 16550

Estimated T-Level: 47.2 ⓘ

TF below 2^152 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	20AB617F2DC3D7F0	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	20AB617F2DC3D7F0	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	20AB617F2DC3D7F0	3	9658	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	ED280A89CF992DA0	3	4533	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	ED280A89CF992DA0	3	1170	5	3

History

Date	User	Type	Result
2025-02-28	masser	NF-PP1	Start=166/59, B1=960000000, B2=959040000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=960000000, B2=959040000000
2025-02-03	masser	NF-PP1	Start=2/7, B1=960000000, B2=959040000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10301/10946227362953/401565398179806088154784206807/4532441 : ED280A89CF992DA0
2022-10-22	-anonymous-	NF-PM1	B1=100000000000, B2=120170262311539440
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10301/4532441/10946227362953/401565398179806088154784206807 : ED280A89CF992DA0
2017-10-12	kkmrkkblmbrbk	C-PRP	M10301/4532441/10946227362953/401565398179806088154784206807 : 20AB617F2DC3D7F0
2017-10-02	kkmrkkblmbrbk	C-PRP	M10301/4532441/10946227362953/401565398179806088154784206807 : 20AB617F2DC3D7F0
2017-09-21	Oliver Kruse	C-PRP	M10301/4532441/10946227362953/401565398179806088154784206807 : 20AB617F2DC3D7F0
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 401565398179806088154784206807
2008-08-26	-anonymous-	F	Factor: 10946227362953