3 109 333 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
18655999	8	24.2	old
68405327	8	26.0	2008-09-07 19:44:10
124373321	9	26.9	2008-09-07 19:44:10
30807837262607	14	44.8	2008-09-30 14:46:26
313088265782270292161	21	68.1	2019-12-07 21:55:35

ECM

Digits	B1	Curves
25	50000	3 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-29	Oliver Kruse	EA550843B4F68AA1	4	2029565	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	EA550843B4F68AA1	4	2874618	5	3
Verified	2019-12-07	mrh	EA550843B4F68AA1	5	1566049	5	3

P-1 factors

Date	Factor	B1	B2
2019-12-07	313088265782270292161	51820	500000

History

Date	User	Type	Result
2022-07-20	Joss	NF-PM1	B1=3950000, B2=3145275210
2022-03-21	Joss	NF-PM1	B1=3950000, B2=1042528410
2021-12-21	Joss	NF-PM1	B1=3950000, B2=116747400
2021-08-24	Joss	NF-PM1	B1=3109333, B2=155466650, E=12
2021-08-21	Joss	NF	no factor from 2^69 to 2^70
2021-08-12	Joss	NF-PM1	B1=3109333, B2=31093330, E=12
2021-08-12	Joss	NF-PM1	B1=3109333
2021-01-27	Joss	NF	no factor from 2^68 to 2^69
2021-01-27	Joss	NF	no factor from 2^67 to 2^68
2021-01-27	Joss	NF	no factor from 2^66 to 2^67
2021-01-20	Joss	NF	no factor from 2^65 to 2^66
2021-01-02	Joss	NF	no factor from 2^64 to 2^65
2020-07-06	Joss	NF-PM1	B1=325000, B2=15546665, E=12
2020-07-02	Joss	NF-PM1	B1=325000, B2=6218666, E=6
2019-12-07	mrh	C-PRP	M3109333/18655999/68405327/124373321/30807837262607/313088265782270292161 : EA550843B4F68AA1 PRP: Verified PRP without proof (not generated)
2019-12-07	Joss	F-PM1	Factor: 313088265782270292161 / (P-1, B1=51820, B2=500000)
2017-12-11	kkmrkkblmbrbk	C-PRP	M3109333/18655999/68405327/124373321/30807837262607 : EA550843B4F68AA1 PRP: Verified PRP without proof (not generated)
2017-10-29	Oliver Kruse	C-PRP	M3109333/18655999/68405327/124373321/30807837262607 : EA550843B4F68AA1 PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 30807837262607
2008-09-07	Will Edgington	F	Factor: 124373321
2008-09-07	Will Edgington	F	Factor: 68405327

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