Twin PrimesDate: 5/16/96 at 14:30:13 From: The Green Vale School Subject: Twin Primes Is there an infinite number of twin primes? Date: 5/16/96 at 20:53:25 From: Doctor Ken Subject: Re: Twin Primes Hello! One of my fellow math doctors, Doctor Jodi, found this information about twin primes: The world's largest known pair of twin primes is 190116 x 3003 x 10^5120 - 1 and 190116 x 3003 x 10^5120 +1 These are numbers of the form n - 1 and n + 1, both of which are primes. Other examples are 17 and 19, and 101 and 103. The largest pair, above, have 5129 digits each. They were discovered on 9 October 1995. It is thought that there are infinitely many pairs of twin primes, but nobody has been able to prove this. Jodi found this information on a web site, and you can visit it too if you want to. The URL for it is http://www.utm.edu/research/primes/largest.html Here's a question for you. How many _triplet_ primes are there, three odd numbers in a row (for instance, 3, 5, 7) such that each one is a prime? Can you prove your answer? -Doctor Ken, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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