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A061308 Smaller of two consecutive primes whose sum is a cube. 10

%I #14 Feb 11 2018 19:37:21

%S 3,107,10973,37039,186619,2125757,2634011,5323949,5470519,6406447,

%T 7443463,8001491,12967153,20353771,27435973,29659499,57395627,

%U 66325487,99588343,104792291,129847021,134793059,153090997,172974199,186623993,271669247,283831771,343064479

%N Smaller of two consecutive primes whose sum is a cube.

%H Chai Wah Wu, <a href="/A061308/b061308.txt">Table of n, a(n) for n = 1..10000</a> (n = 1..600 from Zak Seidov)

%F a(n) = prime(A071220(n)). - _R. J. Mathar_, Aug 11 2012

%e a(2) = 107 as 107 + 109 = 216 = 6^3; a(3) = 10973 as 10973 + 10979 = 21952 = 28^3.

%o (Python)

%o from __future__ import division

%o from sympy import prevprime, nextprime

%o A061308_list = [prevprime(n**3//2) for n in range(2,10**4) if prevprime(n**3//2)+nextprime(n**3//2) == n**3] # _Chai Wah Wu_, Feb 11 2018

%Y A061275.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Apr 26 2001

%E More terms from Larry Reeves (larryr(AT)acm.org), May 15 2001

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)