Sum of twin primes
Susam Pal
There is a list of distinct numbers. There are at least two numbers in
the list. Each number in the list is a sum of two primes where the
difference between the two primes is 2. What is the minimum possible
greatest integer that divides all the numbers in the list? What can
you say about the maximum possible one?
(The greatest integer that divides all the numbers in the list varies
according to the list. So many such numbers are possible. There are
two questions. What is the maximum such number and the minimum such
number. One of the questions is ugly (hint: lookup unproven
conjectures about twin primes).)
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Originally posted at: http://cotpi.com/p/22/
Correct solutions will be archived at the cotpi link mentioned above.
Solutions to 'Empty neighbours': http://cotpi.com/p/21/?r=1#21-1