This number is a prime.

Single Curio View:   (Seek other curios for this number)
The product of the smaller in a set of twin primes (3), the next integer (4), and the larger twin (5), equals 60, which falls between another set of twin primes {59, 61}. In other words, {p, p+2} and {p*(p+1)*(p+2)-1, p*(p+1)*(p+2)+1} are two sets of twin primes, where p is prime (smallest case p=3), i.e., {3,5} and {59,61}. Can you find the smallest prime p where this occurs recursively for 3 sets? 4 sets? 5 sets? etc. The sequence begins 3, 53137619, 2856646544865959, ... . [Honaker]

Submitted: 2020-06-06 01:35:52;   Last Modified: 2020-07-19 00:13:09.
Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell