109 453 Exponent Status

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
18262689932479147973802298985609	32	103.8	2016-04-20 13:35:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	677 / 1566

Estimated T-Level: 32.2 ⓘ

TF below 2^102 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Shift	Software
Factored	Unknown	09DA	0	Unknown,(aka U)
Factored	Mike Gach	0133156C96AF09DA	0	Windows,Prime95,v11,(aka WC)
Factored	Brian J. Beesley	0133156C96AF09DA	0	Mac,John Sweeney,vLL1.0b1,(aka J4)
Factored	Eivind Triel	0133156C96AF09DA	65967	Windows,Prime95,v24 final,(aka Wc1)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	9776E93976DAF7B4	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	9776E93976DAF7B4	1	37893	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9F2610E870E0B2B8	1	68115	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	9F2610E870E0B2B8	1	41228	5	3
Verified	Certified Good	2022-11-11	LordJulius	9F2610E870E0B2B8	1	43459	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=420941000, B2=229338757688040
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	Clogheen	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	Proof Certified Good Proof Power: 5
2022-04-15	LordJulius	C-PRP	Proof Not Uploaded Proof Power: 5
2022-03-07	LordJulius	NF	no factor TF: 54-55
2020-04-17	Oliver Kruse	C-PRP	M109453/18262689932479147973802298985609 : 9F2610E870E0B2B8
2017-10-13	kkmrkkblmbrbk	C-PRP	M109453/18262689932479147973802298985609 : 9776E93976DAF7B4
2017-09-21	Oliver Kruse	C-PRP	M109453/18262689932479147973802298985609 : 9776E93976DAF7B4
2017-09-21	Oliver Kruse	C-PRP	M109453/18262689932479147973802298985609 : 9776E93976DAF7B4
2016-04-20	pfummel	F-ECM	Factor: 18262689932479147973802298985609
2016-03-09	Gordon Spence	NF	no factor TF: 63-64
2016-03-09	Gordon Spence	NF	no factor TF: 62-63
2016-02-23	Mark Rose	NF	no factor TF: 57-58
2015-08-22	NR	NF	no factor TF: 61-62
2013-11-09	Sid & Andy	NF	no factor TF: 60-61
2012-12-18	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-25	Sturle Sunde	NF	no factor TF: 59-60
2009-01-01	Sturle Sunde	NF	no factor TF: 58-59
2006-02-01	Joss	NF-PM1	B1=2000000
2003-09-29	-anonymous-	NF-PM1	B1=262144, B2=26214400, E=12
2003-02-02	-anonymous-	NF-PM1	B1=131072, B2=13107200, E=30
2002-07-20	-anonymous-	NF-PM1	B1=65536, B2=6553600, E=12
2002-06-02	-anonymous-	NF-PM1	B1=32768, B2=3276800
2002-05-05	-anonymous-	NF	no factor TF: 1-57
2001-01-08	-anonymous-	NF-PM1	B1=1000000, B2=25000000
2000-12-14	-anonymous-	NF	no factor TF: 1-56
2000-04-12	-anonymous-	NF	no factor TF: 1-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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