document.write( "Question 37308: What is the smallest positive integer that cannot occur as the difference between two positive prime numbers. \n" ); document.write( "
Algebra.Com's Answer #22993 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Good problem. Never heard that one before. If you look at the list of primes, \n" ); document.write( "2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, etc., \n" ); document.write( "you find that differences of 1, 2, 3, 4, 5, 6, 8, 9, 10, etc., exist but no 7. \n" ); document.write( "And because all later primes are odd numbers, a difference of seven will not exist there either. \n" ); document.write( "Thus the answer is 7. Good problem. \n" ); document.write( " |