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...But furthermore this way of finding primes interestingly leaves a hard nut to crack for mathematicians: In very rare cases it finds numbers that are not primes. For all primes below one million this phenomenon arises in exactly two cases:
31213 which is 7 * 7 * 7 * 7 * 13
336141 which is 3 * 3 * 13 * 13 * 13 * 17
Who can explain, why?