SPS SPS SM Pure 2024 February — Question 10 4 marks

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2024
SessionFebruary
Marks4
TopicProof
TypeExistence of greatest/smallest element
DifficultyChallenging +1.2 This is Euclid's classic proof by contradiction, which is a standard Further Maths proof that students are expected to know. While it requires understanding proof structure and the contradiction technique, the argument itself (assume finitely many primes, multiply them all and add 1) is well-rehearsed and doesn't require novel insight—it's a memorizable proof rather than a problem-solving challenge.
Spec1.01d Proof by contradiction

10. Prove by contradiction that there are infinitely many prime numbers.

10.

Prove by contradiction that there are infinitely many prime numbers.\\

\hfill \mbox{\textit{SPS SPS SM Pure 2024 Q10 [4]}}