MathDB

1

Part of 2005 Postal Coaching

Problems(1)

Prove that the sequence..

Source: Indian Postal Coaching 2005 Problem 1

9/22/2005
Consider the sequence <an><{a_n}> of natural numbers such that {i} ana_n is a square numver for all nn ; (ii) an+1−ana_{n+1} - a_n is either a prime or a square of a prime for each nn. Show that <an><a_n> is a finite sequence. Determine the longest such sequence.
number theory unsolvednumber theory