/sci/ - Science & Math

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Show that for each prime <span class="math">p[/spoiler], there exists a prime <span class="math">q[/spoiler] such that <span class="math">n^p - p[/spoiler] is not divisible by <span class="math">q[/spoiler] for any positive integer <span class="math">n[/spoiler].

reposting yesterday's because nobody wanted to solve it

Show that for any prime <span class="math">p[/spoiler], there exists a prime <span class="math">q[/spoiler] such that <span class="math">n^p - p[/spoiler] is not divisible by <span class="math">q[/spoiler] for any positive integer <span class="math">n[/spoiler].