Official papers

Official 2017 Paper 2 · Q5

Paper 2Logic & proofNumber & counting

Consider the following three statements:

  • 1 10p2+110p^2+1 and 10p2−110p^2-1 are both prime when pp is an odd prime.
  • 2 Every prime greater than 5 is of the form 6n+16n+1 for some integer nn.
  • 3 No multiple of 7 greater than 7 is prime.

The result 91=7×1391=7\times13 can be used to provide a counterexample to which of the above statements?

Anone of them
B1 only
C2 only
D3 only
E1 and 2 only
F1 and 3 only
G2 and 3 only
H1, 2 and 3

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