510,510

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Number

$510 \, 510$ (five hundred and ten thousand, five hundred and ten) is:

$2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17$


Can be expressed as the product of $4$ distinct consecutive Fibonacci numbers:
$510 \, 510 = 13 \times 21 \times 34 \times 55$


The $5$th primorial after $2$, $6$, $30$, $210$, and the largest known, which can be expressed as the product of consecutive integers:
$510 \, 510 = 17 \# = 714 \times 715$


The $7$th primorial after $1$, $2$, $6$, $30$, $210$, $2310$, $30 \, 030$ (counting $1$ as the zeroth):
$510 \, 510 = p_7 \# = 17 \# = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17$
Hence the smallest positive integer with $7$ distinct prime factors.


Also see



Sources