Problem #PRU-116589

Problems Algebra and arithmetic Number theory. Divisibility Divisibility of a number. General properties Sequences Recurrent relations Linear recurrent relations Calculus Number sequences Number sequences (other)

Problem

The sequence of numbers $a_{1}, a_{2}, \dots$ is given by the conditions $a_{1} = 1$ , $a_{2} = 143$ and

for all $n \geq 2$ .

Prove that all members of the sequence are integers.

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