250 013 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
30586418411057	14	44.8	old
9715233473391668787399537100720711894960146023873	49	162.7	2022-02-02 20:59:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	212 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	865DF4B2050F16A6	1	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	865DF4B2050F16A6	1	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	865DF4B2050F16A6	1	83850	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	65DEFE362A80601C	1	71409	5	3
Verified	2022-02-02	Anton Repko	65DEFE362A80601C	2	29824	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-02	9715233473391668787399537100720711894960146023873	1000000000	203601956578020

History

Date	User	Type	Result
2022-11-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-11-20	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-20	LordJulius	NF	no factor from 2^64 to 2^65
2022-11-20	LordJulius	NF	no factor from 2^63 to 2^64
2022-11-20	LordJulius	NF	no factor from 2^62 to 2^63
2022-11-20	LordJulius	NF	no factor from 2^61 to 2^62
2022-11-20	LordJulius	NF	no factor from 2^60 to 2^61
2022-11-20	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-19	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2022-02-02	Poao	CERT	PRP Certification Proof certified good
2022-02-02	Anton Repko	C-PRP	M250013/30586418411057/9715233473391668787399537100720711894960146023873 : 65DEFE362A80601C PRP proof power = 5 PRP: Verified Proof certified good
2022-02-02	Anton Repko	F-PM1	Factor: 9715233473391668787399537100720711894960146023873 / (P-1, B1=1000000000, B2=203601956578020)
2021-08-16	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2021-05-26	gLauss	NF-PP1	Start=2/7, B1=7500000, B2=592500000
2021-05-26	gLauss	NF-PM1	B1=15000000, B2=1290000000
2021-05-26	ViliamF	NF-PM1	B1=50000000, B2=7050000000
2020-04-17	Oliver Kruse	C-PRP	M250013/30586418411057 : 65DEFE362A80601C PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M250013/30586418411057 : 865DF4B2050F16A6 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M250013/30586418411057 : 865DF4B2050F16A6 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M250013/30586418411057 : 865DF4B2050F16A6 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M250013/30586418411057 : 865DF4B2050F16A6 PRP without proof (not generated)

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