Consecutive integers for which<i>n</i><sup>2</sup>+ 1 is composite
Consecutive integers for which<i>n</i><sup>2</sup>+ 1 is composite
Let & = {pj?=owhere p 0 = 2 and p*, fc >0, is the fcth prime in the sequence of positive integers congruent to 1 modulo 4. Thus & contains the prime divisors of all the integers n*+l.For each ί=0,1, let P(ί)=Πί=o 2>*.It will be shown that for each sufficiently …