379

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Number

$379$ (three hundred and seventy-nine) is:

The $75$th prime number

The $7$th prime $p$ such that $p \# + 1$, where $p \#$ denotes primorial (product of all primes up to $p$) of $p$, is prime:

$2$, $3$, $5$, $7$, $11$, $31$, $379$

The $13$th integer $m$ such that $m! - 1$ (its factorial minus $1$) is prime:

$3$, $4$, $6$, $7$, $12$, $14$, $30$, $32$, $33$, $38$, $94$, $166$, $324$, $379$

The $21$st right-truncatable prime after $2$, $3$, $5$, $7$, $23$, $29$, $31$, $37$, $53$, $59$, $71$, $73$, $79$, $233$, $239$, $293$, $311$, $313$, $317$, $373$

The $27$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $181$, $193$, $223$, $229$, $233$, $257$, $263$, $269$, $313$, $337$, $367$

Also see

• Previous  ... Next: Sequence of Prime Primorial plus 1

• Previous  ... Next: Sequence of Integers whose Factorial minus 1 is Prime

• Previous  ... Next: Long Period Prime

• Previous  ... Next: Prime Number
• Previous  ... Next: Right-Truncatable Prime