406 513 Exponent Status

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
2929891963016180331939599	25	81.3	2013-08-06 08:57:25
1815367143812594538287073839	28	90.6	2025-03-21 22:17:34
563359299497748549362047628393	30	98.8	2017-12-01 13:34:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	484 / 640

Estimated T-Level: 28.8 ⓘ

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

Status	Date	User	Residue	Shift	Software
Factored		David Slowinski	7B9	0	Cray,Slowinski,(aka D3)
Factored		Curtis Scott	BAEEC9E43774C7B9	0	Windows 16-bit,Prime95,v5,with TF,(aka W5)
Factored		Eivind Triel	BAEEC9E43774C7B9	27081	Windows,Prime95,v24 final,(aka Wc1)
Factored	2002-02-03	Dennis Pope	BAEEC9E43774C7B9	148969	Windows,Prime95,v21,(aka WX1)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-23	Oliver Kruse	FF2EC3E5DFD1FF85	1	0	1	3
Factored	No proof (small exponent)	2017-11-02	kkmrkkblmbrbk	FF2EC3E5DFD1FF85	1	373247	1	3
Factored	No proof (small exponent)	2017-12-02	kkmrkkblmbrbk	DFEE67BBEB3A46C6	2	71367	5	3
Factored	No proof (small exponent)	2017-12-02	storm5510	DFEE67BBEB3A46C6	2	9758	5	3
Verified	Certified Good	2025-03-21	ANONYMOUS	DFEE67BBEB3A46C6	3	350664	5	3

History

Date	User	Type	Result
2026-02-01	ViliamF	NF-PM1	B1=15000000, B2=488271673890
2025-03-21	qprime	CERT	Proof certified good
2025-03-21	ANONYMOUS	C-PRP	M406513/2929891963016180331939599/563359299497748549362047628393/1815367143812594538287073839 : DFEE67BBEB3A46C6 Proof Certified Good Proof Power: 5
2025-03-21	ANONYMOUS	F-ECM	Factor: 1815367143812594538287073839 / ECM curve 30, B1=434931, B2=21311619, Edwards Sigma=1756009862149238
2022-03-07	LordJulius	NF	no factor TF: 58-60
2017-12-02	storm5510	C-PRP	M406513/2929891963016180331939599/563359299497748549362047628393 : DFEE67BBEB3A46C6
2017-12-02	kkmrkkblmbrbk	C-PRP	M406513/2929891963016180331939599/563359299497748549362047628393 : DFEE67BBEB3A46C6
2017-12-01	TJAOI	F-ECM	Factor: 563359299497748549362047628393
2017-11-02	kkmrkkblmbrbk	C-PRP	M406513/2929891963016180331939599 : FF2EC3E5DFD1FF85
2017-09-23	Oliver Kruse	C-PRP	M406513/2929891963016180331939599 : FF2EC3E5DFD1FF85
2016-03-16	alpertron	NF-PM1	B1=3000000, B2=100000000, E=12
2013-08-06	SRJ2877	F-ECM	Factor: 2929891963016180331939599
2011-05-04	Sid & Andy	NF	no factor TF: 60-61
2011-02-14	Rob_Dee	NF-PM1	B1=5000000, B2=140000000, E=12
2011-02-13	Rob_Dee	NF-PM1	B1=5000000, B2=130000000, E=12
2011-02-12	Rob_Dee	NF-PM1	B1=5000000, B2=120000000, E=12
2011-02-11	Rob_Dee	NF-PM1	B1=5000000, B2=110000000, E=12
2011-02-10	Rob_Dee	NF-PM1	B1=5000000, B2=100000000, E=12
2011-02-09	Rob_Dee	NF-PM1	B1=5000000, B2=90000000, E=12
2011-02-08	Rob_Dee	NF-PM1	B1=5000000, B2=80000000, E=12
2011-02-07	Rob_Dee	NF-PM1	B1=5000000, B2=70000000, E=12
2011-02-06	Rob_Dee	NF-PM1	B1=5000000, B2=60000000, E=12
2011-02-05	Rob_Dee	NF-PM1	B1=5000000, B2=50000000, E=12
2011-02-04	Rob_Dee	NF-PM1	B1=5000000, B2=40000000, E=12
2011-02-03	Rob_Dee	NF-PM1	B1=5000000, B2=30000000, E=12
2011-02-02	Rob_Dee	NF-PM1	B1=5000000, B2=20000000, E=12
2011-02-01	Rob_Dee	NF-PM1	B1=5000000, B2=10000000, E=6
2010-11-02	-anonymous-	NF-PM1	B1=5000000
2006-01-15	Joss	NF-PM1	B1=406513
2003-12-23	-anonymous-	NF	no factor TF: 1-58
2003-03-27	-anonymous-	NF-PM1	B1=131072, B2=13107200, E=30
2002-08-17	-anonymous-	NF-PM1	B1=65536, B2=6553600, E=12
2002-06-15	-anonymous-	NF-PM1	B1=32768, B2=3276800, E=12
2002-02-03	-anonymous-	C-LL	BAEEC9E43774C7B9
2002-01-08	-anonymous-	NF	no factor TF: 1-57
2001-03-25	-anonymous-	NF	no factor TF: 1-56

Username
Password