Thursday 28 February 2013

THURSDAY, 28 FEBRUARY 2013

Today is the $59^{th}$ day of the year.

$59$ is prime.

$59 = 1^2 + 3^2 + 7^2 = 3^2 + 5^2 + 5^2$

$(59, 1740, 1741)$ is a Pythagorean triple.

$59$ is a vile number, see A003159 and AviezriS.Fraenkel's original paper.

$59$ is a safe prime because $\frac {59 - 1}{2} = \frac {58}{2} = 29$ which is prime. $29$ is a Sophie Germain prime, see here and here.



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