46,657

Number
$46 \, 657$ (forty-six thousand, six hundred and fifty-seven) is:


 * $13 \times 37 \times 97$


 * The $6$th Sierpiński number of the first kind after $2$, $5$, $28$, $257$, $3126$:
 * $46 \, 657 = 6^6 + 1$


 * The $12$th Carmichael number after $561$, $1105$, $1729$, $2465$, $2821$, $6601$, $8911$, $10 \, 585$, $15 \, 841$, $29 \, 341$, $41 \, 041$:
 * $\forall a \in \Z: a \perp 46 \, 657: a^{46 \, 657} \equiv 1 \pmod {46 \, 657}$