8321

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Number

$8321$ (eight thousand, three hundred and twenty-one) is:

$53 \times 157$

The $20$th Poulet number after $341$, $561$, $645$, $1105$, $1387$, $1729$, $1905$, $2047$, $2465$, $2701$, $2821$, $3277$, $4033$, $4369$, $4371$, $4681$, $5461$, $6601$, $7957$:

$2^{8321} \equiv 2 \pmod {8321}$: $8321 = 53 \times 157$

The $53$rd octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $5985$, $6256$, $6533$, $6816$, $7105$, $7400$, $7701$, $8008$:

$8321 = \ds \sum_{k \mathop = 1}^{53} \paren {6 k - 5} = 53 \paren {3 \times 53 - 2}$

Also see

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