A145024 Number of primes between successive balanced primes (A006562).

3, 13, 21, 3, 7, 8, 1, 18, 29, 5, 3, 8, 11, 31, 4, 20, 3, 7, 5, 19, 21, 32, 1, 19, 48, 19, 29, 32, 7, 38, 1, 43, 12, 33, 46, 6, 16, 8, 4, 34, 15, 1, 19, 7, 1, 23, 28, 30, 22, 8, 1, 7, 1, 52, 14, 56, 10, 26, 2, 30, 65, 5, 71, 12, 44, 39, 37, 6, 19, 47, 11, 10, 21, 7, 11, 4, 62, 7, 4, 8, 1

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Sep 29 2008

Keywords

• nonn

Programs

Mathematica

BalancedPrimeQ[n_]:=Prime[n+1]-Prime[n]==Prime[n]-Prime[n-1]; lst={}; a=1; Do[If[BalancedPrimeQ[n], i=PrimePi[p=Prime[n]]-PrimePi[a]; AppendTo[lst,i]; a=p],{n,2,5000}]; lst