My Math Forum integers

 Calculus Calculus Math Forum

 August 18th, 2010, 11:08 PM #1 Newbie   Joined: Aug 2010 Posts: 4 Thanks: 0 integers Suppose a1, a2, a3, a4, a5, a6, a7, a8 are eight distinct integers from {1,2...,16,17}. Show that there is an integer k>0 so that there are at least 3 different (not necessarily disjoint) pairs i and j so that ai - aj = k Also find a set of seven distinct integers {1,2,...16,17} such that there in no integer k > 0 with that property.

 Tags integers

### suppose a2, a3, a4, a5, a6, a7 are integers

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post shunya Algebra 2 March 11th, 2014 03:26 AM yo79 Math Events 4 March 17th, 2013 01:50 AM sulonski Number Theory 11 August 31st, 2012 04:49 PM DanielThrice Abstract Algebra 1 November 7th, 2010 02:17 AM cafegurl Elementary Math 3 January 7th, 2009 08:21 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top