A231629 First of 7 consecutive deficient numbers in arithmetic progression.
801339, 962649, 7353339, 21964299, 41642139, 48049689, 55455939, 89034939, 89851449, 92253849, 105259539, 107948379, 109455339, 114295449, 116754939, 122349369, 135575979, 156009849, 159521049, 173645439, 188586699, 192674169, 193137849, 220301769, 221355125
Offset: 1
Keywords
Examples
801339, 801341, 801343, 801345, 801347, 801349, 801351 is the smallest set of 7 consecutive deficient numbers in arithmetic progression so 801339 is in the list.
Links
- Shyam Sunder Gupta, Table of n, a(n) for n = 1..126
Programs
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Mathematica
DefQ[n_] := DivisorSigma[1, n] < 2 n; m = 2; z1 = 2; cd = 1; a = {}; Do[If[DefQ[n], If[n - z1 == cd, m = m + 1; If[m > 6, AppendTo[a, n - 6*cd]], m = 2; cd = n - z1]; z1 = n], {n, 3, 1000000000}]; a