3 156 319 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
227254969	9	27.8	old
2026356799	10	30.9	2008-09-07 19:44:30
2853312377	10	31.4	2008-09-07 19:44:30
70127095543	11	36.0	2008-09-07 19:44:30

ECM

Digits	B1	Curves
25	50000	90 / 280

Estimated T-Level: 21.6 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-31	Oliver Kruse	27218D50D8929EE7	4	1598580	5	3
Verified	2017-12-12	ATH	27218D50D8929EE7	4	2626921	5	3

History

Date	User	Type	Result
2022-08-03	Joss	NF-PM1	B1=3156319, B2=3189500160
2022-01-10	Joss	NF-PM1	B1=3156319, B2=1034192250
2021-12-22	Joss	NF-PM1	B1=3156319, B2=645118320
2021-12-20	Joss	NF-PM1	B1=3156319, B2=116689650
2021-09-14	Joss	NF-PM1	B1=3156319
2021-09-02	Joss	NF	no factor from 2^68 to 2^69
2021-02-05	Joss	NF	no factor from 2^67 to 2^68
2021-02-05	Joss	NF	no factor from 2^66 to 2^67
2021-02-04	Joss	NF	no factor from 2^65 to 2^66
2021-01-17	Joss	NF	no factor from 2^64 to 2^65
2021-01-08	Joss	NF	no factor from 2^63 to 2^64
2021-01-05	Joss	NF	no factor from 2^62 to 2^63
2021-01-04	Joss	NF	no factor from 2^61 to 2^62
2021-01-04	Joss	NF	no factor from 2^60 to 2^61
2021-01-04	Joss	NF	no factor from 2^59 to 2^60
2020-04-30	Joss	NF-PM1	B1=315631, B2=3156319, E=6
2017-12-12	ATH	C-PRP	M3156319/227254969/2026356799/2853312377/70127095543 : 27218D50D8929EE7 PRP: Verified PRP without proof (not generated)
2017-10-31	Oliver Kruse	C-PRP	M3156319/227254969/2026356799/2853312377/70127095543 : 27218D50D8929EE7 PRP: Verified PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 70127095543
2008-09-07	Will Edgington	F	Factor: 2853312377
2008-09-07	Will Edgington	F	Factor: 2026356799

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