Sequence of Numbers Divisible by Sequence of Primes
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Theorem
The integers in this sequence:
- $788, 789, 790, 791, 792, 793$
are divisible by:
- $2, 3, 5, 7, 11, 13$
respectively.
Proof
\(\ds 788\) | \(=\) | \(\ds 2 \times 394\) | ||||||||||||
\(\ds 789\) | \(=\) | \(\ds 3 \times 263\) | ||||||||||||
\(\ds 790\) | \(=\) | \(\ds 5 \times 158\) | ||||||||||||
\(\ds 791\) | \(=\) | \(\ds 7 \times 113\) | ||||||||||||
\(\ds 792\) | \(=\) | \(\ds 11 \times 72\) | ||||||||||||
\(\ds 793\) | \(=\) | \(\ds 13 \times 61\) |
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $788$