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A074925
Numbers n such that n^3 is a sum of two successive primes.
7
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
KEYWORD
nonn
AUTHOR
Zak Seidov, Oct 02 2002
EXTENSIONS
More terms from Zak Seidov, Jul 22 2009
STATUS
approved