3 000 409 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
29433411722853840161	20	64.7	2013-12-12 21:14:19
36506847546234971967385191137	29	94.9	2021-09-28 20:47:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	62 / 640

Estimated T-Level: 25.5 ⓘ

TF below 2^80 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ken Kriesel	6840848BF73A5ECC	0
Verified (Factored)		Steve Potocny	6840848BF73A5ECC	0
Verified (Factored)		Steve Potocny	6840848BF73A5ECC	1583922
Verified (Factored)	1999-12-15	Terry S. Arnold	6840848BF73A5ECC	2810601

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-27	Oliver Kruse	E5278F56E350BE51	1	192064	5	3
Verified (Factored)	2017-12-10	kkmrkkblmbrbk	E5278F56E350BE51	1	1983093	5	3
Verified	2021-09-29	SRJ2877	E5278F56E350BE51	2	2523133	5	3

History

Date	User	Type	Result
2022-07-20	Joss	NF-PM1	B1=6000818, B2=3040218720
2022-06-04	Joss	NF-PM1	B1=6000818, B2=1252883940
2021-12-30	Joss	NF	no factor from 2^68 to 2^69
2021-12-21	Joss	NF-PM1	B1=3000409, B2=138761700
2021-12-11	Luminescence	NF-PM1	B1=20000000, B2=116564442540
2021-09-29	Chuck	CERT	PRP Certification Proof certified good
2021-09-29	SRJ2877	C-PRP	M3000409/29433411722853840161/36506847546234971967385191137 : E5278F56E350BE51 PRP proof power = 7 PRP: Verified Proof certified good
2021-09-28	mikr	F-PP1	Start=197/11, B1=15000000, B2=1530000000, Factor: 36506847546234971967385191137
2021-09-18	Joss	NF-PM1	B1=3000409, B2=30004090, E=12
2021-09-16	Joss	NF-PM1	B1=3000409
2021-03-02	Joss	NF	no factor from 2^67 to 2^68
2021-02-21	Joss	NF	no factor from 2^66 to 2^67
2021-01-15	Joss	NF	no factor from 2^65 to 2^66
2021-01-14	Joss	NF-PM1	B1=3000409
2021-01-13	Joss	NF-PM1	B1=350035, B2=30004090, E=12
2020-09-10	Joss	NF-PM1	B1=350035, B2=6000818
2017-12-10	kkmrkkblmbrbk	C-PRP	M3000409/29433411722853840161 : E5278F56E350BE51 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-27	Oliver Kruse	C-PRP	M3000409/29433411722853840161 : E5278F56E350BE51 PRP: Verified (Factored) PRP without proof (not generated)
2013-12-12	David Campeau	F	Factor: 29433411722853840161 / TF: 64-65
2013-12-04	kracker	NF	no factor from 2^63 to 2^64
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2010-08-18	Sid & Andy	NF	no factor from 2^61 to 2^62
2010-04-25	Rob_Dee	NF-PM1	B1=1000000, B2=1100000
2010-04-24	Rob_Dee	NF-PM1	B1=900000, B2=1000000
2010-04-23	Rob_Dee	NF-PM1	B1=800000, B2=900000
2010-04-22	Rob_Dee	NF-PM1	B1=700000, B2=800000
2010-04-21	Rob_Dee	NF-PM1	B1=600000, B2=700000
2010-04-20	Rob_Dee	NF-PM1	B1=500000, B2=600000
2010-04-19	Rob_Dee	NF-PM1	B1=400000, B2=500000
2010-04-18	Rob_Dee	NF-PM1	B1=300000, B2=400000
2010-04-17	Rob_Dee	NF-PM1	B1=200000, B2=300000
2010-04-16	Rob_Dee	NF-PM1	B1=100000, B2=200000
2009-05-08	Rob_Dee	NF-PM1	B1=35000, B2=551250
2009-01-23	Jayson King	NF	no factor from 2^60 to 2^61

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