Sunday, August 09, 2020

[fbryuptj] 14 * 15 = 7# = 210

Curiously, the product of 14 and 15 equals the product of primes up to 7.  These neighboring numbers are, in terms of prime factorization, as different as numbers can possibly be from one another.  Are there other primorials that can be factored into consecutive numbers?

Inspired by the period-14 tumbler and period-15 pentadecathlon statorless oscillators in Conway's Game of Life.  Their periods have no common factors, so, placed next to each other, they have period 210, rather long compared to each considered separately.

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