Posted by Ian on Thursday, March 28, 2013 at 10:45pm.
What is the sum of all integer values of n satisfying 1≤n≤100, such that n2−1 is a product of exactly two distinct prime numbers?

Maths  Steve, Thursday, March 28, 2013 at 11:50pm
Since n^21 = (n1)(n+1) you want to find all the twin primes whose geometric mean is at most 1000.
Consult any list of twin primes.
For example, 29,31: n=30 and 899 = 29*31
So, if you find the list of twin primes (n1),(n+1) less than 10,000 add up all the values of n.
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