"The Music of the Primes" by Marcus du Sautoy (2003), has a great section on the work of of Paul Erdòs. eg<p>> "Erdòs, like so many great mathematicians, was lucky to have a father who could expose him to ideas that would stimulate his passion for numbers. On one occasion his father had shown Erdòs Euclid's proof that there were infinitely many prime numbers. But Erdòs was fascinated when his father twisted Euclid's argument to prove that you could find stretches of numbers of arbitrary length where there were no primes."<p>(for a stretch of 100 consecutive numbers with no primes, generate n = factorial(101) and then there will be no primes in range(n + 2, n + 102)).