5461

Number
$5461$ (five thousand, four hundred and sixty-one) is:


 * $43 \times 127$


 * The $43$rd octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $3816$, $4033$, $4256$, $4485$, $4720$, $4961$, $5208$:
 * $5461 = \displaystyle \sum_{k \mathop = 1}^{43} \left({6 k - 5}\right) = 43 \left({3 \times 43 - 2}\right)$


 * The $17$th Poulet number after $341$, $561$, $645$, $1105$, $1387$, $1729$, $1905$, $2047$, $2465$, $2701$, $2821$, $3277$, $4033$, $4369$, $4371$, $4681$:
 * $2^{5461} \equiv 2 \pmod {5461}$: $5461 = 43 \times 127$