733 237 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
10613032678622643983509553	26	83.1	2026-10-09 04:44:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	508 / 640

Estimated T-Level: 29.0 ⓘ

TF below 2^91 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Jim Kraemer	A07C57644B813800	0	Windows 32-bit,Prime95,v7,improved TF,(aka W8)
Factored		Cornelius Caesar	A07C57644B813800	0	Crandall,(aka X)
Factored		Brian J. Beesley	A07C57644B813800	440203	Windows,Prime95,v22,(aka WY1)
Factored	2016-06-01	MadPoo 🙂	A07C57644B813800	572400	Windows 64-bit,Prime95,v26,(aka We4)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	Certified Good	2026-10-09	Jurzal	0E19A33C42FD7EF7	1	319688	5	3

History

Date	User	Type	Result
2026-10-09	gohy	CERT	Proof certified good
2026-10-09	Jurzal	C-PRP	Proof Certified Good Proof Power: 6
2026-10-09	Jurzal	F-ECM	Factor: 10613032678622643983509553 / ECM curve 5, B1=775525, B2=8270216955, Edwards Sigma=5204359496402045
2026-06-22	Joss	NF-PP1	Start=2/7, B1=2000000
2025-10-28	Joss	NF-PM1	B1=10000000, B2=504301147350
2025-10-28	Joss	NF-PM1	B1=10000000, B2=446379283350
2025-10-27	Joss	NF-PM1	B1=10000000, B2=388457419350
2025-10-27	Joss	NF-PM1	B1=10000000, B2=330259386600
2025-10-27	Joss	NF-PM1	B1=10000000, B2=320028315750
2025-06-06	Joss	NF-PM1	B1=10000000, B2=309797244900
2025-05-17	Joss	NF-PM1	B1=10000000, B2=299566186920
2025-05-17	Joss	NF-PM1	B1=10000000, B2=278885576970
2025-05-16	Joss	NF-PM1	B1=10000000, B2=258204997050
2025-05-13	Joss	NF-PM1	B1=10000000, B2=233955879300
2025-05-12	Joss	NF-PM1	B1=10000000, B2=223724808450
2025-05-12	Joss	NF-PM1	B1=10000000, B2=213493737600
2025-05-12	Joss	NF-PM1	B1=10000000, B2=203262666750
2025-05-12	Joss	NF-PM1	B1=10000000, B2=193031595900
2025-05-12	Joss	NF-PM1	B1=10000000, B2=182800525050
2025-05-12	Joss	NF-PM1	B1=10000000, B2=172569454200
2025-05-11	Joss	NF-PM1	B1=10000000, B2=162338396220
2025-05-11	Joss	NF-PM1	B1=10000000, B2=149930030250
2025-05-11	Joss	NF-PM1	B1=10000000, B2=137521664280
2025-05-11	Joss	NF-PM1	B1=10000000, B2=125113298310
2025-05-11	Joss	NF-PM1	B1=10000000, B2=112704932340
2025-05-10	Joss	NF-PM1	B1=10000000, B2=100296566370
2025-05-10	Joss	NF-PM1	B1=10000000, B2=87888200400
2025-05-10	Joss	NF-PM1	B1=10000000, B2=75479834430
2025-05-10	Joss	NF-PM1	B1=10000000, B2=63071468460
2025-05-10	Joss	NF-PM1	B1=10000000, B2=50663102490
2025-04-24	Joss	NF-PM1	B1=10000000, B2=38254766550
2024-04-21	Joss	NF-PM1	B1=10000000, B2=14005661670
2023-05-05	masser	NF-PP1	Start=6/5, B1=7000000, B2=336000000
2023-04-13	masser	NF-PP1	Start=163/59, B1=7000000, B2=322000000
2023-04-09	masser	NF-PP1	Start=2/7, B1=7000000, B2=336000000
2022-04-09	lycorn	NF-PM1	B1=7400000, B2=1001276926650
2022-03-23	Gordon Spence	NF	no factor TF: 67-68
2020-05-10	Gordon Spence	NF	no factor TF: 66-67
2017-08-30	Smok_bmv	NF	no factor TF: 65-66
2016-06-01	MadPoo 🙂	C-LL	A07C57644B813800
2016-04-19	lycorn	NF	no factor TF: 64-65
2015-11-26	Sid & Andy	NF-PM1	B1=7332370, B2=219971100, E=12
2015-10-17	Gordon Spence	NF	no factor TF: 63-64
2015-10-17	Gordon Spence	NF	no factor TF: 62-63
2015-03-02	NR	NF	no factor TF: 61-62
2013-10-28	David Campeau	NF-PM1	B1=1525000, B2=51850000, E=12
2012-03-29	Joss	NF-PM1	B1=1490305
2011-10-13	Joss	NF-PM1	B1=993537
2011-08-24	Joss	NF-PM1	B1=496768
2011-07-10	Joss	NF-PM1	B1=298061
2010-06-11	Architects Cubed	NF	no factor TF: 60-61
2008-10-12	Sturle Sunde	NF	no factor TF: 59-60
2008-10-12	Sturle Sunde	NF	no factor TF: 58-59
2003-10-08	-anonymous-	NF	no factor TF: 1-58
2003-06-30	-anonymous-	NF-PM1	B1=131072, B2=13107200, E=12
2002-11-16	-anonymous-	NF-PM1	B1=65537, B2=6553700, E=12
2002-07-14	-anonymous-	NF-PM1	B1=32768, B2=3276800, E=12
2002-05-11	-anonymous-	NF-PM1	B1=16384, B2=1638400
2002-03-24	-anonymous-	NF-PM1	B1=8192, B2=819200
2002-01-28	-anonymous-	NF-PM1	B1=4096, B2=409600
2002-01-02	-anonymous-	NF-PM1	B1=2000, B2=200000
2001-12-01	-anonymous-	NF	no factor TF: 1-57
2001-03-25	-anonymous-	NF	no factor TF: 1-56
2000-05-31	-anonymous-	NF	no factor TF: 1-55

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