3 484 759 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1815336783229984006001	22	70.6	2022-01-25 03:35:33
1015954934557192723593473	25	79.7	2014-09-29 08:10:55

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-07-21	Wayne Sheppard	4845E732A3789757	0
Verified (Factored)	1999-07-26	Leigh Thompson	4845E732A3789757	1222778

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	235F479B711CF4B9	1	3336261	5	3
Verified (Factored)	2017-11-23	Oliver Kruse	235F479B711CF4B9	1	3484286	5	3
Verified	2022-02-01	LordJulius	235F479B711CF4B9	2	1523189	5	3

P-1 factors

Date	Factor	B1	B2
2014-09-29	1015954934557192723593473	500000	10000000
2022-01-25	1815336783229984006001	1096950	114656850

History

Date	User	Type	Result
2022-09-07	Joss	NF-PM1	B1=1096950, B2=266857500
2022-05-31	LordJulius	NF	no factor from 2^66 to 2^67
2022-05-31	LordJulius	NF	no factor from 2^65 to 2^66
2022-05-27	LordJulius	NF	no factor from 2^64 to 2^65
2022-05-27	LordJulius	NF	no factor from 2^63 to 2^64
2022-05-27	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-27	LordJulius	NF	no factor from 2^1 to 2^62
2022-02-01	KC	CERT	PRP Certification Proof certified good
2022-02-01	LordJulius	C-PRP	M3484759/1015954934557192723593473/1815336783229984006001 : 235F479B711CF4B9 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-25	Joss	F-PM1	Factor: 1815336783229984006001 / (P-1, B1=1096950, B2=114656850)
2021-06-13	Joss	NF	no factor from 2^67 to 2^68
2021-02-24	Joss	NF	no factor from 2^65 to 2^66
2021-02-18	Joss	NF-PM1	B1=348475, B2=3833234, E=6
2017-11-23	Oliver Kruse	C-PRP	M3484759/1015954934557192723593473 : 235F479B711CF4B9 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-07	kkmrkkblmbrbk	C-PRP	M3484759/1015954934557192723593473 : 235F479B711CF4B9 PRP: Verified (Factored) PRP without proof (not generated)
2014-09-29	HBendtz	F-PM1	Factor: 1015954934557192723593473 / (P-1, B1=500000, B2=10000000, E=12)
2014-08-21	Joss	NF-PM1	B1=78419
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-14	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-16	markr	NF	no factor from 2^61 to 2^62
2009-07-07	Carsten Kossendey	NF-PM1	B1=20000, B2=240000
2009-03-19	S485122	NF	no factor from 2^60 to 2^61

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