659

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Number

$659$ (six hundred and fifty-nine) is:

The $120$th prime number

The smaller of the $30$th pair of twin primes:

$661 - 659 = 2$

The $30$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $233$, $239$, $251$, $281$, $293$, $359$, $419$, $431$, $443$, $491$, $509$, $593$, $641$, $653$:

$2 \times 659 + 1 = 1319$, which is prime.

The $44$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $491$, $499$, $503$, $509$, $541$, $571$, $577$, $593$, $619$, $647$

Also see

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