Here is one from number theory... Prove that there are infinitely many primes.....

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Here is one from number theory... Prove that there are infinitely many primes.....

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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4p+3 will be a prime for all prime p lets assume p is the last prime then 4p+3 is also a prime this contradicts our assumption hence there are infinitly many primes
but how can u tell that 4p+3 is a prime?
as p is prime 4p is multiple of 1,2 4,p if you add three nothing factors out so it is a prime

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as for me, i've heard of these proofs: Euclid's Proof (c. 300 BC) Furstenberg's Topological Proof (1955) Goldbach's Proof (1730) Kummer's Restatement of Euclid's Proof Filip Saidak's Proof (2005)
Yeah sure
  • phi
4*13+3 = 55 which is composite to do your proof, you must create the number formed by multiplying ALL primes less than or equal the presumed last prime. then add 1. this number will be divisible by all smaller primes, but with a remainder of 1. So there must be a bigger prime than the presumed last prime.

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