Problems & Puzzles: Puzzles
Puzzle 169. The unit and the sum of three signed prime-cubes
In one page
of the Eric
In one page of the EricWeisstein's Mathworld Encyclopedia we may read that:
The earliest* prime solution that I have obtained is:
Question 1: Can you find the next five solutions?
Sunday addition: at the risk of seeming crazy I would like to post one more question:
Question 2: Can you find a solution where two of the cubes are consecutive primes?
Jean-Charles Mayrignac sent (25/2/02) the following methodical references for speeding up this puzzle:
If you want to solve the problem, you can use the following documentation: http://euler.free.fr/docs/ get the files jap1.gif, jap2.gif, jap3.gif, jap4.gif, jap5.gif and jap6.gif. They expose how the problem can be solved using a sieving method.