perplexus.info :: Just Math : Prime as sum of Cubes of terms of AP?

Prime as sum of Cubes of terms of AP? (Posted on 2008-03-02)

Let S_i be the i^th term of an Arithmetic Progression whose 1^st term is a and common difference d. Show that for any 2 positive integers m,n(>m), Σ(i:m to n)(S_i)³ can't be a prime number.

Note: a,d are positive integers.

See The Solution Submitted by Praneeth

Rating: 2.6667 (3 votes)

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Subject	Author	Date
re official solution -- IS NOT PERFECT	Ady TZIDON	2008-03-08 19:45:10
hint- no spoiler	Ady TZIDON	2008-03-07 07:41:28
another humble step forward	Ady TZIDON	2008-03-06 12:42:29
A humble start	Ady TZIDON	2008-03-03 16:31:20

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