367

Number
$367$ (three hundred and sixty-seven) is:


 * The $73$rd prime number


 * The larger of the $2$nd pair of primes whose prime gap is $8$:
 * $367 - 359 = 8$


 * The $3$rd positive integer $n$ after $157, 262$ for which $\map \phi {2 n + 1} < \map \phi {2 n}$:
 * $\map \phi {2 \times 367 + 1} = 336$, $\map \phi {2 \times 367} = 366$


 * The $14$th of $29$ primes of the form $2 x^2 + 29$:
 * $2 \times 13^2 + 29 = 367$


 * The $26$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $181$, $193$, $223$, $229$, $233$, $257$, $263$, $269$, $313$, $337$

Also see