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A231623 Smallest starting deficient number for n consecutive deficient numbers in arithmetic progression. 7

%I #6 Nov 13 2013 15:05:54

%S 1,1,1,2987,801339,221355125,221355125

%N Smallest starting deficient number for n consecutive deficient numbers in arithmetic progression.

%C The next term is a(10) > 10^9. The common difference for first 3 terms is 1 and for next 4 terms is 2.

%e First and smallest occurrence of n, n >= 3, consecutive deficient numbers in arithmetic progression:

%e a(3) = 1: (1, 2, 3);

%e a(4) = 1: (1, 2, 3, 4);

%e a(5) = 1: (1, 2, 3, 4, 5);

%e a(6) = 2987: (2987, 2989, 2991, 2993, 2995, 2997);

%e a(7) = 801339: (801339, 801341, 801343, 801345, 801347, 801349, 801351);

%e a(8) = 221355125: (221355125, 221355127, 221355129, 221355131, 221355133, 221355135, 221355137, 221355139);

%e a(9) = 221355125: (221355125, 221355127, 221355129, 221355131, 221355133, 221355135, 221355137, 221355139, 221355141);

%Y Cf. A005100, A228433.

%K nonn,hard,more

%O 3,4

%A _Shyam Sunder Gupta_, Nov 11 2013

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)