|
%I #7 Nov 11 2013 17:23:19
%S 24,114,114,228,1242,221355126
%N Smallest starting abundant number for n consecutive abundant numbers in arithmetic progression.
%C The next term is a(9) > 10^9. The common difference for first 7 terms is 6 and for 8th term is 2.
%e First and smallest occurrence of n, n >= 3, consecutive abundant numbers in arithmetic progression:
%e a(3) = 24: (24, 30, 36);
%e a(4) = 114: (114, 120, 126, 132);
%e a(5) = 114: (114, 120, 126, 132, 138);
%e a(6) = 228: (228, 234, 240, 246, 252, 258);
%e a(7) = 1242: (1242, 1248, 1254, 1260, 1266, 1272, 1278);
%e a(8) = 221355126: (221355126, 221355128, 221355130, 221355132, 221355134, 221355136, 221355138, 221355140);
%Y Cf. A005101.
%K nonn,hard,more
%O 3,1
%A _Shyam Sunder Gupta_, Nov 10 2013
|
