7 508 981 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 11 known prime factors. Cofactor is composite.

Trial Factored to 2⁷⁸

TF target 2⁶⁷

Factored

Factor	Digits	Bits	Date
45053887	8	25.4	old
60071849	8	25.8	2008-09-08 03:33:33
285341279	9	28.1	2008-09-08 03:33:33
585700519	9	29.1	2008-09-08 03:33:33
26356523311	11	34.6	2008-09-08 03:33:33
20333239254737	14	44.2	2008-09-08 03:33:33
18694135089678809	17	54.1	2014-08-17 23:07:07
281287549065522023	18	58.0	2014-08-17 23:40:33
346309182073938289	18	58.3	2014-08-17 23:40:33
367107436768162151	18	58.3	2014-08-17 23:40:32
1211907173840894224264391	25	80.0	2014-08-25 06:37:24

P-1 factors

Date	Factors	B1	B2
2023-10-20	No new factors discovered	10000000000	400015680614550
2021-05-17	No new factors discovered	10000	10000
2021-01-30	No new factors discovered	500000	500000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	892 / 4588

Estimated T-Level: 36.0 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

PRP

Status	Proof	Date	User	Residue	Shift	Type	Base
Factored	Not Uploaded Power=8	2021-01-30	Seth_Tr	73DC4AA852A85C4E	0	1	3

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-27	ATH	2A94BAB0984542ED	11	0	1	3
Verified	PRP without proof (not generated)	2017-10-28	ATH	2A94BAB0984542ED	11	0	1	3
Verified	PRP without proof (not generated)	2017-10-28	kkmrkkblmbrbk	2A94BAB0984542ED	11	196057	1	3
Factored	PRP without proof (not generated)	2018-07-13	Gabriel Lignelli	73DC4AA852A85C4E	1	6974498	5	3
Verified	PRP without proof (not generated)	2018-07-24	Gabriel Lignelli	73DC4AA852A85C4E	11	5361232	5	3
Verified	Certified Good	2022-10-22	LordJulius	73DC4AA852A85C4E	11	102659	5	3

History

Date	User	Type	Result
2023-10-20	Anton Repko	F-PM1	Factors: 281287549065522023,1211907173840894224264391 / B1=10000000000, B2=400015680614550
2022-10-22	curtisc	CERT	Proof certified good
2022-10-22	LordJulius	C-PRP	M7508981/45053887/60071849/285341279/585700519/26356523311/20333239254737/18694135089678809/281287549065522023/346309182073938289/367107436768162151/1211907173840894224264391 : 73DC4AA852A85C4E Proof Certified Good Proof Power: 8
2022-05-04	LordJulius	NF	no factor TF: 66-67
2022-05-04	LordJulius	NF	no factor TF: 67-68
2022-05-04	LordJulius	NF	no factor TF: 65-66
2022-05-04	LordJulius	NF	no factor TF: 64-65
2022-05-04	LordJulius	NF	no factor TF: 63-64
2022-04-19	ATH	NF-PM1	B1=1000000000, B2=10045573648110
2022-01-22	Seth_Tr	NF-PM1	B1=1000000000, B2=500300760960
2021-07-30	ViliamF	NF-PP1	Start=6/5, B1=10000000, B2=690000000
2021-07-29	ViliamF	NF-PP1	Start=2/7, B1=10000000, B2=680000000
2021-05-17	nigel	F-PM1	Factor: 11921519114817291182370230152733598748378993 / B1=10000
2021-05-03	nordi	NF-PP1	Start=2/7, B1=4000000, B2=200000000
2021-02-17	Seth_Tr	NF-PM1	B1=500000000, B2=50000000000
2021-01-30	Seth_Tr	C-PRP	73DC4AA852A85C4E Proof Not Uploaded Proof Power: 8
2021-01-30	Seth_Tr	F-PM1	Factor: 83946419446082725925715901433803480811869756520104673841488983413113872049 / B1=500000
2020-01-04	Seth_Tr	NF	no factor TF: 77-78
2019-12-12	Seth_Tr	NF	no factor TF: 68-69
2019-12-08	Seth_Tr	NF	no factor TF: 67-68
2019-06-18	Seth_Tr	NF	no factor TF: 66-67
2018-07-24	Gabriel Lignelli	C-PRP	M7508981/45053887/60071849/285341279/585700519/26356523311/20333239254737/18694135089678809/281287549065522023/346309182073938289/367107436768162151/1211907173840894224264391 : 73DC4AA852A85C4E
2018-07-13	Gabriel Lignelli	C-PRP	M7508981/196390556749512365885553091471517315772448332119011812799224967043247355807885758998536981636538241093908075798179275216900756503990104076135107768463 : 73DC4AA852A85C4E
2018-06-20	Mark Rose	NF	no factor TF: 74-75
2017-12-01	Kriesel	NF	no factor TF: 76-77
2017-11-22	ATH	NF-PM1	B1=105000000, B2=3000000000, E=12
2017-10-28	kkmrkkblmbrbk	C-PRP	M7508981/45053887/60071849/285341279/585700519/26356523311/20333239254737/18694135089678809/281287549065522023/346309182073938289/367107436768162151/1211907173840894224264391 : 2A94BAB0984542ED
2017-10-28	ATH	C-PRP	M7508981/45053887/60071849/285341279/585700519/26356523311/20333239254737/18694135089678809/281287549065522023/346309182073938289/367107436768162151/1211907173840894224264391 : 2A94BAB0984542ED
2017-10-27	ATH	C-PRP	M7508981/known_factors : 2A94BAB0984542ED
2017-01-18	Matthew Millar	NF	no factor TF: 72-73
2017-01-18	Matthew Millar	NF	no factor TF: 73-74
2017-01-07	Matthew Millar	NF	no factor TF: 70-71
2017-01-07	Matthew Millar	NF	no factor TF: 69-70
2017-01-07	Matthew Millar	NF	no factor TF: 63-64
2017-01-07	Matthew Millar	NF	no factor TF: 62-63
2016-10-25	Nipal	NF	no factor TF: 75-76
2016-09-07	Matthew Millar	NF	no factor TF: 71-72
2016-08-18	Matthew Millar	NF	no factor TF: 68-69
2016-08-18	Matthew Millar	NF	no factor TF: 67-68
2016-08-18	Matthew Millar	NF	no factor TF: 66-67
2016-08-13	Matthew Millar	NF	no factor TF: 65-66
2016-08-13	Matthew Millar	NF	no factor TF: 64-65
2016-04-24	wombatman	NF	no factor TF: 61-62
2014-08-30	Denial140	F	Factor: 1583285088503372039 / TF: 60-61*
2014-08-25	pdazzl	F-ECM	Factor: 1211907173840894224264391
2014-08-17	pdazzl	F	Factor: 281287549065522023 / TF: 56-60
2014-08-17	pdazzl	F	Factor: 346309182073938289 / TF: 56-60
2014-08-17	pdazzl	F	Factor: 367107436768162151 / TF: 56-60
2014-08-17	pdazzl	F	Factor: 18694135089678809 / TF: 1-56
2008-09-08	Will Edgington	F	Factor: 20333239254737
2008-09-08	Will Edgington	F	Factor: 26356523311
2008-09-08	Will Edgington	F	Factor: 585700519
2008-09-08	Will Edgington	F	Factor: 285341279
2008-09-08	Will Edgington	F	Factor: 60071849

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