473 219 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
11357257	8	23.4	old
3417172131719	13	41.6	2008-07-21 09:20:00
7587043652594297	16	52.8	2014-08-22 11:43:51
19497446326561464553	20	64.1	2014-12-01 11:42:25
35673849115402691761	20	65.0	2015-05-01 10:21:25
38077704754913213063	20	65.0	2015-05-01 10:21:24
335743358199063784561	21	68.2	2014-12-01 11:42:25
250839376811353625314897	24	77.7	2016-02-05 19:22:18

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	495 / 1566

Estimated T-Level: 31.6 ⓘ

TF below 2^100 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	2017-09-27	Oliver Kruse	B205AB77E6143CD8	8	0	1	3
Verified	2017-10-18	kkmrkkblmbrbk	B205AB77E6143CD8	8	256592	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	7D155AF6B244D9__	8	470375	5	3

P-1 factors

Date	Factor	B1	B2
2014-12-01	335743358199063784561	3000000	100000000
2014-12-01	19497446326561464553	3000000	100000000

History

Date	User	Type	Result
2022-11-17	LordJulius	NF	no factor from 2^66 to 2^67
2022-11-17	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-25	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-25	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-25	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-25	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-25	LordJulius	NF	no factor from 2^59 to 2^60
2021-05-25	Seth_Tr	NF-PM1	B1=1000000000, B2=241000000000
2021-03-03	Seth_Tr	NF-PM1	B1=65000000, B2=11765000000
2021-02-26	Seth_Tr	NF-PM1	B1=50000000, B2=5000000000, E=12
2020-04-18	Oliver Kruse	C-PRP	M473219/11357257/3417172131719/7587043652594297/19497446326561464553/35673849115402691761/38077704754913213063/335743358199063784561/250839376811353625314897 : 7D155AF6B244D9__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-18	kkmrkkblmbrbk	C-PRP	M473219/11357257/3417172131719/7587043652594297/335743358199063784561/19497446326561464553/38077704754913213063/35673849115402691761/250839376811353625314897 : B205AB77E6143CD8 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M473219/11357257/3417172131719/7587043652594297/335743358199063784561/19497446326561464553/38077704754913213063/35673849115402691761/250839376811353625314897 : B205AB77E6143CD8 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-26	Oliver Kruse	C-PRP	M473219/11357257/3417172131719/7587043652594297/335743358199063784561/19497446326561464553/38077704754913213063/35673849115402691761/250839376811353625314897 : B205AB77E6143CD8 PRP without proof (not generated)
2016-02-05	TJAOI	F-ECM	Factor: 250839376811353625314897 / (ECM curve 10, B1=50000, B2=5000000)
2015-05-01	TJAOI	F-ECM	Factor: 35673849115402691761 / (ECM curve 4, B1=50000, B2=5000000)
2015-05-01	TJAOI	F-ECM	Factor: 38077704754913213063 / (ECM curve 18, B1=50000, B2=5000000)
2014-12-01	alpertron	F-PM1	Factor: 6546138105985746157462481205703030166233 / (P-1, B1=3000000, B2=100000000, E=12)
2014-08-22	TJAOI	F	Factor: 7587043652594297
2008-07-21	J Feitsma	F	Factor: 3417172131719

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