29,341

Number
$29 \, 341$ (twenty-nine thousand, three hundred and forty-one) is:
 * $13 \times 37 \times 61$


 * The smallest Fermat pseudoprime to each of the bases $2$, $3$, $5$ and $7$:
 * $2^{29 \, 341} \equiv 2 \pmod {29 \, 341}$, $3^{29 \, 341} \equiv 3 \pmod {29 \, 341}$, $5^{29 \, 341} \equiv 5 \pmod {29 \, 341}$, $7^{29 \, 341} \equiv 7 \pmod {29 \, 341}$


 * The $10$th Carmichael number after $561$, $1105$, $1729$, $2465$, $2821$, $6601$, $8911$, $10 \, 585$, $15 \, 841$:
 * $\forall a \in \Z: a \perp 29 \, 341: a^{29 \, 340} \equiv 1 \pmod {29 \, 341}$

Also see

 * Smallest Fermat Pseudoprime to Bases 2, 3, 5 and 7