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?
Sunday, September 18, 2011
Please email your solutions to firstname.lastname@example.org.
This is an original puzzle from cotpi.
The following is a list of resources on related topics:
- Sebah, Pascal; Gourdon, Xavier "Introduction to twin primes and Brun's constant." Mathematical Constants and computation. 30 July 2002. 21 Sep. 2011 <http://numbers.computation.free.fr/Constants/Primes/twin.pdf>.
- Weisstein, Eric W. "Twin Primes." Wolfram MathWorld. 21 Sep. 2011. Wolfram Research. 21 Sep. 2011 <http://mathworld.wolfram.com/TwinPrimes.html>.
- Weisstein, Eric W. "Twin Prime Conjecture." Wolfram MathWorld. 21 Sep. 2011. Wolfram Research. 21 Sep. 2011 <http://mathworld.wolfram.com/TwinPrimeConjecture.html>.