%I A089781
%S A089781 1,2,5,7,11,16,23,29,37,46,57,67,79,92,107,121,137,154,173,191,211,232,
%T A089781 255,277
%N A089781 Successive coprime numbers with distinct successive differences: (a(k+1),
               a(k))= (a(m+1),a(m)) = 1 and a(k+1)-a(k) = a(m+1)-a(m) <==> m=k.
%C A089781 Conjecture: If a(k+1)-a(k) = n then k < C*n. Can some one find an estimate 
               for the constant C?
%e A089781 5 follows 2 as 4 is not coprime to 2 and 5-2 = 3, 2-1 =1.
%Y A089781 Sequence in context: A006066 A084935 A062409 this_sequence A144832 A023238 
               A049042
%Y A089781 Adjacent sequences: A089778 A089779 A089780 this_sequence A089782 A089783 
               A089784
%K A089781 nonn,more
%O A089781 1,2
%A A089781 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2003