Problems & Puzzles: Puzzles Puzzle 169. The unit and the sum of three signed prime-cubes
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? ________ Solution: 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. ***
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