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

Author

Zak Seidov, Oct 02 2002

Keywords

• nonn

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.

Examples

			6^3 = 216 = 107 + 109.
		

Links

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

Crossrefs

Cf. A064397, A071220, A074924.

Programs

Mathematica

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

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

Extensions

More terms from Zak Seidov, Jul 22 2009