Department of M.C.A (Computer Application), Assam Engineering College, Guwahati-781013, Jalukbari, Assam, India.
Let {4n+10/n ≥ 4 } and { 4n+12/n ≥4} be two sets of even numbers. Some properties of these two sets have been discussed. The relationship of these numbers with the pentagonal numbers and partition function has been focused. Finally, Some propositions relating to primes have been proposed.