2 209 013 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

2209013

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
115408394383031301407	21	66.6	2020-07-07 08:32:38
25035605219088686026711	23	74.4	2025-03-17 09:19:33
29864848201056713115403417	26	84.6	2015-12-08 16:57:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	167 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Thomas Womack	9560BF809D9E53AF	0
Verified (Factored)	1999-03-15	henk verschoor	9560BF809D9E53AF	810271

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	9BD9957D1D39FA3F	1	0	1	3
Verified (Factored)	2017-10-25	Oliver Kruse	9BD9957D1D39FA3F	1	1196658	1	3
Verified (Factored)	2020-07-07	M Miller	89A44C1D1E9CD953	2	1401135	5	3
Verified (Factored)	2020-07-10	nordi	89A44C1D1E9CD953	2	239409	5	3
Verified	2025-03-22	Perig	89A44C1D1E9CD953	3	467619	5	3

P-1 factors

Date	Factor	B1	B2
2015-12-08	29864848201056713115403417	2000000	15000000

History

Date	User	Type	Result
2025-03-22	David Strube	CERT	PRP Certification Proof certified good
2025-03-22	Perig	C-PRP	M2209013/115408394383031301407/25035605219088686026711/29864848201056713115403417 : 89A44C1D1E9CD953 PRP proof power = 7 PRP: Verified Proof certified good
2025-03-17	TJAOI	F-ECM	Factor: 25035605219088686026711 / (ECM curve 3, B1=250000, B2=254050335, Edwards Sigma=70822572060096)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2021-07-03	Dylan Delgado	NF-PM1	B1=3380000, B2=459680000
2021-06-29	Dylan Delgado	NF-PM1	B1=2600000, B2=340600000
2020-07-10	nordi	C-PRP	M2209013/29864848201056713115403417/115408394383031301407 : 89A44C1D1E9CD953 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-07	M Miller	C-PRP	M2209013/29864848201056713115403417/115408394383031301407 : 89A44C1D1E9CD953 PRP: Verified (Factored) PRP without proof (not generated)
2020-07-07	TJAOI	F	Factor: 115408394383031301407 / TF: 66-67
2017-10-25	Oliver Kruse	C-PRP	M2209013/29864848201056713115403417 : 9BD9957D1D39FA3F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2209013/29864848201056713115403417 : 9BD9957D1D39FA3F PRP: Verified (Factored) PRP without proof (not generated)
2016-04-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-12-08	Alexander Dubrovin	F-PM1	Factor: 29864848201056713115403417 / (P-1, B1=2000000, B2=15000000, E=12)
2015-11-11	Alexander Dubrovin	NF-PM1	B1=1000000, B2=2500000, E=6
2015-10-22	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-06	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-06	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-17	Joss	NF-PM1	B1=148112
2014-06-24	Joss	NF-PM1	B1=119056
2013-12-04	LaurV	NF	no factor from 2^62 to 2^63
2011-01-08	markr	NF-PM1	B1=90000, B2=1665000, E=6
2010-11-10	Joss	NF-PM1	B1=30000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-08	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-03	Sturle Sunde	NF	no factor from 2^60 to 2^61

Username
Password