653

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Number

$653$ (six hundred and fifty-three) is:

The $119$th prime number

The $12$th balanced prime after $5$, $53$, $157$, $173$, $211$, $257$, $263$, $373$, $563$, $593$, $607$:

$653 = \dfrac {647 + 659} 2$

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

$2 \times 653 + 1 = 1307$, which is prime.

The $40$th left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $443$, $467$, $523$, $547$, $613$, $617$, $643$, $647$

Also see

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