THE PUZZLET PAGE


PUZZLET 131

Primes of Type 4n - 1

Search for prime numbers of type 4n - 1 and 4n + 1. The inset table shows the primes that can be generated for values of n up to 14. The difference column is used to show how many more times primes of type 4n - 1 appear than those of type 4n + 1.

It seems as though there are never less prime numbers of the 4n - 1 variety than there are of the type 4n + 1.

Is there a value for n at which the sum of type 4n + 1 is greater than that of 4n - 1?

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Last Updated: January 14th, 2010.