10 501 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
2160708549249199	16	50.9	old
22874762422451888123788986936924609260974019441	47	154.0	2009-11-14 16:18:25

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	3240 / 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	53F2E4DB46B25A32	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	53F2E4DB46B25A32	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	53F2E4DB46B25A32	2	8023	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1098B394784D98AA	2	4231	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	1098B394784D98AA	2	873	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=159/43, B1=640000000, B2=639360000000
2025-02-17	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	M10501/2160708549249199/22874762422451888123788986936924609260974019441 : 1098B394784D98AA
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10501/2160708549249199/22874762422451888123788986936924609260974019441 : 1098B394784D98AA
2017-10-12	kkmrkkblmbrbk	C-PRP	M10501/2160708549249199/22874762422451888123788986936924609260974019441 : 53F2E4DB46B25A32
2017-10-02	kkmrkkblmbrbk	C-PRP	M10501/2160708549249199/22874762422451888123788986936924609260974019441 : 53F2E4DB46B25A32
2017-09-21	Oliver Kruse	C-PRP	M10501/2160708549249199/22874762422451888123788986936924609260974019441 : 53F2E4DB46B25A32
2017-09-21	Oliver Kruse	C-PRP	M10501/2160708549249199/22874762422451888123788986936924609260974019441 : 53F2E4DB46B25A32
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-01-04	Never Odd Or Even	F	Factor: 2160708549249199
2009-11-14	Never Odd Or Even	F-ECM	Factor: 22874762422451888123788986936924609260974019441
2008-09-23	-anonymous-	NF-PM1	B1=1000000, B2=100000000, E=12