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Sum of primes is a square (Posted on 2012-06-29) Difficulty: 3 of 5
Let's define S(k) = p1 + p2 + ... + pk, i.e. "the sum of the first k primes"
The sum of the first 9 consecutive prime numbers equals 100, a square number.

Find all k (below 9999) that will similarly produce perfect squares.

  Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)
Solution: (Hide)
(9,2474,6694,7785) ==> (100,25633969,2312372329,292341604)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: computer solution with an extensionCharlie2012-06-29 16:14:23
Solutioncomputer solution with an extensionCharlie2012-06-29 16:04:50
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