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 A074925 Numbers n such that n^3 is a sum of two successive primes. 6
 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 (list; graph; refs; listen; history; text; internal format)
 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 A185072 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

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Last modified October 15 05:43 EDT 2019. Contains 328026 sequences. (Running on oeis4.)