Question

If you help me ill marry you (seriously) (ok maybe)

Prove that if p and p²+8 are prime then so is p³+4.

and

Let A1776 be the set { 1, 1/2, 1/3, ..., 1/1776 }

Remove any two elements, say a and b, from A1776, and replace them with the single number ab+a+b to form set A1775. Continue in this manner, until you have performed 1775 such operations, to form set A1, which contains a single element.

What is this element?

Prove it!

Answer 1

@Hannah_Waller

Answer 2

@amistre64