MathDB

19

Part of 2011 Baltic Way

Problems(1)

Arithmetic sequence of p terms with product equal to a cube

Source: Baltic Way 2011

11/6/2011
Let p≠3p\neq 3 be a prime number. Show that there is a non-constant arithmetic sequence of positive integers x1,x2,…,xpx_1,x_2,\ldots ,x_p such that the product of the terms of the sequence is a cube.
arithmetic sequencenumber theory proposednumber theory