Unformatted text preview: 12 jk6 j + 30 k15 + 1 = 2(6 jk3 j + 157) ⇒ 3 mn + 1 is even. Question 2 Assume x / ∈ Q and (x ) ∈ Q . Thenx = p/q where p,q ∈ Z and q 6 = 0 . Then x =p/q . Since (p ) ∈ Z and q 6 = 0 , x is rational which is a contradiction with the premise that x is irrational. Question 3 Disprove: p = 7 and p + 4 = 11 . Both 7 and 11 are prime. 1...
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 Summer '08
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 Prime number

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