Adjacent PrimesDate: 11/26/2001 at 18:22:10 From: Will Subject: Adjacent Primes What are adjacent primes? Thanks a bunch, Will Little Date: 11/27/2001 at 17:34:46 From: Doctor Achilles Subject: Re: Adjacent Primes Hi Will, Thanks for writing to Dr. Math. Adjacent primes are two consecutive odd integers, both of which are prime. For example, 3 and 5 are adjacent primes, as are 5 and 7. So are 11 and 13 and 17 and 19. Of course, since prime numbers become more and more scarce are you get into larger integers, adjacent primes get few and far between. I once heard a conjecture that there are an infinite number of adjacent primes, but I don't know whether it's ever been proven or not. Hope this helps. Let me know if I can be of more assistance. - Doctor Achilles, The Math Forum http://mathforum.org/dr.math/ |
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