2465

Number
$2465$ (two thousand, four hundred and sixty-five) is:


 * $5 \times 17 \times 29$


 * The $9$th Poulet number after $341$, $561$, $645$, $1105$, $1387$, $1729$, $1905$, $2047$:
 * $2^{2465} \equiv 2 \pmod {2465}$: $2465 = 5 \times 17 \times 29$


 * The $11$th Fermat pseudoprime to base $3$ after $91$, $121$, $286$, $671$, $703$, $949$, $1105$, $1541$, $1729$, $1891$:
 * $3^{2465} \equiv 3 \pmod {2465}$


 * The $4$th Carmichael number after $561$, $1105$, $1729$:
 * $\forall a \in \Z: a \perp 2465: a^{2464} \equiv 1 \pmod {2465}$


 * The magic constant of the order $17$ magic square:
 * $2465 = \dfrac {17 \left({17^2 + 1}\right)} 2$