287

From ProofWiki
Jump to navigation Jump to search

Previous  ... Next

Number

$287$ (two hundred and eighty-seven) is:

$7 \times 41$


The $14$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $51$, $70$, $92$, $117$, $145$, $176$, $210$, $247$:
$287 = \ds \sum_{k \mathop = 1}^{14} \paren {3 k - 2} = \dfrac {14 \paren {3 \times 14 - 1} } 2$


The $27$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $126$, $145$, $176$, $187$, $210$, $222$, $247$, $260$:
$287 = \dfrac {14 \paren {3 \times 14 - 1} } 2$


Also see