%I A117582
%S A117582 0,2,5,10,15,24,34,46,57,74,90,114,141
%N A117582 For successive primes p, the number of ratios of the form n^2/(n^2-1) 
               which factor into primes less than or equal to p.
%C A117582 By a theorem of Stormer, the number of ratios m/(m-1) factoring into 
               primes only up to p is finite. A proportion of these have square 
               denominators.
%D A117582 E. F. Ecklund and R. B. Eggleton, Prime factors of consecutive integers, 
               Amer. Math. Monthly, 79 (1972), 1082-1089.
%D A117582 D. H. Lehmer, On a problem of Stormer, Ill. J. Math., 8 (1964), 57-69.
%Y A117582 Cf. A002071, A117583.
%Y A117582 Sequence in context: A013927 A163059 A099738 this_sequence A002134 A062472 
               A086849
%Y A117582 Adjacent sequences: A117579 A117580 A117581 this_sequence A117583 A117584 
               A117585
%K A117582 hard,nonn
%O A117582 0,2
%A A117582 Gene Ward Smith (genewardsmith(AT)gmail.com), Apr 02 2006