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On his release from prison, critic Ivor Smallbrain rushes ou

Thesis Help Advanced Maths On his release from prison, critic Ivor Smallbrain rushes ou

Advanced Maths

On his release from prison, critic Ivor Smallbrain rushes ou

On his release from prison, critic Ivor Smallbrain rushes out to see the latest film, Prime and Prej… Show more On his release from prison, critic Ivor Smallbrain rushes out to see the latest film, Prime and Prejudice. During the film Ivor attempts to think of ten consecutive integers, none of which is prime. He fails. Help Ivor by showing that if (N=11!+2) , then none of the numbers N, N+1, N+2,…, N+9 is prime. More generally, show that for any n that is a natural number, there is a sequence of n consecutive positive integers, none of which is prime. (Hence, there are arbitrarily large “gaps” in the sequence of primes.) • Show less

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