435 679 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
404310113	9	28.6	old
58719944263	11	35.8	2008-07-21 09:19:14
842931687967	12	39.6	2008-07-21 09:19:14
10552981705922969	17	53.2	2014-09-11 11:39:49
105709613160442271	18	56.6	2015-01-09 16:39:21
103325505144889431361	21	66.5	2014-11-17 11:24:02
333726450243735725951	21	68.2	2014-11-17 11:24:03
133335583257976432205687	24	76.8	2018-02-23 11:28:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	494 / 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 (Factored)	2017-09-24	Oliver Kruse	BCF6CEB0ACBE3E14	7	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	BCF6CEB0ACBE3E14	7	108159	1	3
Verified (Factored)	2017-12-16	ATH	BCF6CEB0ACBE3E14	7	80407	1	3
Verified	2018-02-24	axn	3010E35208A361E0	8	216841	5	3
Verified	2018-02-25	trebor	3010E35208A361E0	8	396519	5	3

P-1 factors

Date	Factor	B1	B2
2014-11-17	103325505144889431361	3000000	100000000
2014-11-17	333726450243735725951	3000000	100000000

History

Date	User	Type	Result
2022-11-17	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-17	LordJulius	NF	no factor from 2^64 to 2^65
2022-11-17	LordJulius	NF	no factor from 2^63 to 2^64
2022-11-17	LordJulius	NF	no factor from 2^62 to 2^63
2022-11-17	LordJulius	NF	no factor from 2^61 to 2^62
2022-11-17	LordJulius	NF	no factor from 2^60 to 2^61
2022-11-17	LordJulius	NF	no factor from 2^59 to 2^60
2021-06-03	Seth_Tr	NF-PM1	B1=1000000000, B2=241000000000
2021-03-11	Seth_Tr	NF-PM1	B1=50000000, B2=8550000000
2021-03-10	Seth_Tr	NF-PM1	B1=20000000, B2=2860000000
2021-03-02	Seth_Tr	NF-PM1	B1=10000000, B2=1310000000
2018-02-25	trebor	C-PRP	M435679/404310113/58719944263/842931687967/10552981705922969/103325505144889431361/333726450243735725951/105709613160442271/133335583257976432205687 : 3010E35208A361E0 PRP: Verified PRP without proof (small exponent)
2018-02-24	axn	C-PRP	M435679/404310113/58719944263/842931687967/10552981705922969/103325505144889431361/333726450243735725951/105709613160442271/133335583257976432205687 : 3010E35208A361E0 PRP: Verified PRP without proof (small exponent)
2018-02-23	TJAOI	F-ECM	Factor: 133335583257976432205687 / (ECM curve 20, B1=250000, B2=25000000)
2017-12-16	ATH	C-PRP	M435679/404310113/58719944263/842931687967/10552981705922969/105709613160442271/103325505144889431361/333726450243735725951 : BCF6CEB0ACBE3E14 PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M435679/404310113/58719944263/842931687967/10552981705922969/103325505144889431361/333726450243735725951/105709613160442271 : BCF6CEB0ACBE3E14 PRP: Verified PRP without proof (small exponent)
2017-09-24	Oliver Kruse	C-PRP	M435679/404310113/58719944263/842931687967/10552981705922969/103325505144889431361/333726450243735725951/105709613160442271 : BCF6CEB0ACBE3E14 PRP without proof (not generated)
2015-01-09	TJAOI	F-ECM	Factor: 105709613160442271 / (ECM curve 26, B1=50000, B2=5000000)
2014-11-17	alpertron	F-PM1	Factor: 34482454051644802576368609440400920949311 / (P-1, B1=3000000, B2=100000000, E=12)
2014-09-11	TJAOI	F	Factor: 10552981705922969 / TF: 53-54
2008-07-21	J Feitsma	F	Factor: 842931687967
2008-07-21	J Feitsma	F	Factor: 58719944263

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