5461

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Number

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

$43 \times 127$

The $17$th Poulet number after $341$, $561$, $645$, $1105$, $1387$, $1729$, $1905$, $2047$, $2465$, $2701$, $2821$, $3277$, $4033$, $4369$, $4371$, $4681$:

$2^{5461} \equiv 2 \pmod {5461}$: $5461 = 43 \times 127$

The $43$rd octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $3816$, $4033$, $4256$, $4485$, $4720$, $4961$, $5208$:

$5461 = \ds \sum_{k \mathop = 1}^{43} \paren {6 k - 5} = 43 \paren {3 \times 43 - 2}$

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