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

3, 107, 10973, 37039, 186619, 2125757, 2634011, 5323949, 5470519, 6406447, 7443463, 8001491, 12967153, 20353771, 27435973, 29659499, 57395627, 66325487, 99588343, 104792291, 129847021, 134793059, 153090997, 172974199, 186623993, 271669247, 283831771, 343064479

Offset: 1

Author

Amarnath Murthy, Apr 26 2001

Keywords

• nonn

Examples

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

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..600 from Zak Seidov)

Crossrefs

A061275.

Programs

Python

from _future_ import division
from sympy import prevprime, nextprime
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

Formula

a(n) = prime(A071220(n)). - R. J. Mathar, Aug 11 2012

Extensions

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