A175662 Sum of primes between successive cubes of primes.

83, 1493, 8598, 123195, 193812, 1156479, 1326972, 5453537, 22783052, 14120477, 78914972, 98903830, 69672945, 194745797, 483371646, 825367975, 382036554, 1550852585, 1492923061, 891424555, 3529278157, 3176100712, 6359190073

Offset: 1

Author

Zak Seidov, Aug 04 2010

Keywords

• nonn

Crossrefs

Cf. A030078 (cubes of primes), A365767 (number of primes in between).

Cf. A175037 (between successive squares of primes).

Programs

Mathematica

Table[Total[Select[Range[Prime[n]^3,Prime[n+1]^3],PrimeQ]],{n,30}]

PARI

a(n) = vecsum(primes([prime(n)^3, prime(n+1)^3])); \\ Michel Marcus, May 21 2025

Formula

a(n) = sum of primes between (prime(n))^3 and (prime(n+1))^3.