Problems & Puzzles: Puzzles

Puzzle 978. Improve this curio

Carlos Rivera asks this:

Blanchette found that the sum of the first 3618 primes, prime squares, prime cubes and primes to the fourth power are each prime values.

Q. Improve the record by Blanchette: the sum of the first k primes, squared primes, cubed primes, fourth power primes and fifth power primes, are each prime values, for the same k.


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