751

Number

$751$ (seven hundred and fifty-one) is:

The larger of the $11$th pair of primes whose prime gap is $8$:

$751 - 743 = 8$

The index (after $2$, $3$, $6$, $30$, $75$, $81$, $115$, $123$, $249$, $362$, $384$, $462$, $512$) of the $14$th Woodall prime:

$751 \times 2^{751} - 1$

The $20$th of $29$ primes of the form $2 x^2 + 29$:

$2 \times 19^2 + 29 = 751$ (Previous ... Next)

The $23$rd trimorphic number after $1$, $4$, $5$, $6$, $9$, $\ldots$, $375$, $376$, $499$, $501$, $624$, $625$, $749$:

$751^3 = 423 \, 563 \, \mathbf {751}$

The $25$th emirp after $13$, $17$, $31$, $37$, $\ldots$, $311$, $337$, $347$, $359$, $389$, $709$, $733$, $739$, $743$