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

1,1

Links

Table of n, a(n) for n=1..23.

Formula

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

Mathematica

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

Prog

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

Crossrefs

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

Cf. A175037 (between successive squares of primes).

Sequence in context: A292284 A195893 A233332 * A103233 A093283 A332615

Adjacent sequences: A175659 A175660 A175661 * A175663 A175664 A175665

Keyword

nonn

Author

Zak Seidov, Aug 04 2010

Status

approved