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
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $510,510$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $510,510$