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Number of primes between consecutive terms of A075343 (excluding endpoints).
2

%I #7 Sep 23 2023 03:11:06

%S 2,1,2,2,1,1,2,1,3,4,2,5,2,3,3,3,5,4,4,6,2,3,4,5,5,6,6,5,3,6,7,7,5,6,

%T 5,7,7,4,6,8,8,8,5,7,5,11,4,7,11,7,11,6,8,8,6,9,8,7,10,6,10,10,11,7,8,

%U 7,15,11,8,9,9,9,9,8,14,11,12,11,12,10,14,10,10,10,14,10,11,12,12,14,7,18

%N Number of primes between consecutive terms of A075343 (excluding endpoints).

%C Conjecture: a(n) > 0 for all n.

%F a(n) = A075343(n+1)-A075343(n)-n-1. - _David Wasserman_, Jan 16 2005

%o (PARI) i = 1; for (n = 1, 105, p = 0; for (j = 1, n, i++; while (isprime(i), p++; i++)); i++; print1(p, " ")) \\ _David Wasserman_, Jan 16 2005

%Y Cf. A075343.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Sep 18 2002

%E More terms from _David Wasserman_, Jan 16 2005