A074925 Numbers n such that n^3 is a sum of two successive primes.

2, 6, 28, 42, 72, 162, 174, 220, 222, 234, 246, 252, 296, 344, 380, 390, 486, 510, 584, 594, 638, 646, 674, 702, 720, 816, 828, 882, 942, 948, 990, 1044, 1056, 1146, 1200, 1314, 1422, 1436, 1554, 1566, 1596, 1602, 1632, 1740, 1770, 1778, 1806, 1818, 1824

Offset

1,1

Comments

Prime(n)+ prime(n+1) as a square in A064397; n^2 as a sum of two successive primes in A074924; prime(n)+ prime(n+1) as a cube in A071220.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000 (terms for n = 1..429 from Zak Seidov)

Example

6^3 = 216 = 107 + 109.

Mathematica

Surd[#, 3]&/@Select[Total/@Partition[Prime[Range[150*10^6]], 2, 1], IntegerQ[ Surd[#, 3]]&] (* Harvey P. Dale, Jun 05 2018 *)

Prog

(Python)
from sympy import nextprime, prevprime
A074925_list = [i for i in range(2, 10**4, 2) if prevprime(i**3//2) + nextprime(i**3//2) == i**3] # Chai Wah Wu, Feb 22 2017

Crossrefs

Cf. A064397, A071220, A074924.

Sequence in context: A153253 A174880 A303394 * A141136 A115156 A370749

Adjacent sequences: A074922 A074923 A074924 * A074926 A074927 A074928

Keyword

nonn

Author

Zak Seidov, Oct 02 2002

Extensions

More terms from Zak Seidov, Jul 22 2009

Status

approved