Parity of p(p+1)/2 for nth prime p

JEREMY GARDINER jeremy.gardiner at
Fri Sep 10 14:33:38 CEST 2004

The following sequences (allowing offset of first term) all appear to have the same parity:

A034953 Triangular numbers with prime indices
A054269 Length of period of continued fraction for sqrt(p), p prime
A082749 Difference between the sum of next prime(n) natural numbers and the sum of next n primes
A006254 Numbers n such that 2n-1 is prime
A067076 2n+3 is a prime

Jeremy Gardiner
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