perplexus.info :: Numbers : Sum of primes is a square

Sum of primes is a square (Posted on 2012-06-29)

Let's define S(k) = p₁ + p₂ + ... + p_k, 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
re: computer solution with an extension	Charlie	2012-06-29 16:14:23
computer solution with an extension	Charlie	2012-06-29 16:04:50

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