Re: None of this nursery school stuff - a proper maths problem. 25$ re
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You are right Jason, flaw in my intuition, so now you led me to the correct answer. There are an infite number of primes. When you ^2 a prime you end up with infinite amount of numbers. These are basically random since the distribution of primes is random. random+68=random. Thus x^2+68 leads to an infinite amount of random numbers. An infinite amount of random numbers will have infinite numbers that corresponds to y^5.
So, the numbers of solutions are infinite. Send me $25.
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Sorry, but that also doesn't work, even on an intuitive level, because the set of natural numbers that is of the form y^5 is very sparse in the set of all natural numbers: a random set of natural numbers (in this case, those of the form x^2 + 68) could avoid all natural numbers of the form y^5.
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You were right last time, but now I think you are wrong. There is no sparsity of number that corresponds to y^5. There is infinite Ys, so there is infinite Y^5's. Sooner or later the x^2+68 will hit, and since it gets infinite chances it will hit infinite times.
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