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A228962 Smallest sets of 5 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. 5
114, 228, 234, 582, 654, 1002, 1008, 1242, 1248, 1254, 1542, 1794, 1908, 2094, 2214, 2262, 2328, 2334, 2502, 2634, 2754, 2988, 3054, 3102, 3348, 3354, 3642, 4182, 4188, 4314, 4362, 4368, 4428, 4434, 4482, 4728, 4788, 4902, 5202, 5208, 5268, 5274, 5742, 5862 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
114, 120, 126, 132, 138 is the smallest set of 5 consecutive abundant numbers in arithmetic progression so 114 is in the list.
MATHEMATICA
AbundantQ[n_] := DivisorSigma[1, n] > 2 n; m = 2; z1 = 18; cd = 6; a = {}; Do[If[AbundantQ[n], If[n - z1 == cd, m = m + 1; If[m > 4, AppendTo[a, n - 4*cd]], m = 2; cd = n - z1]; z1 = n], {n, 19, 1000000}]; a
CROSSREFS
Sequence in context: A095619 A160776 A171374 * A250725 A300478 A305066
KEYWORD
nonn
AUTHOR
Shyam Sunder Gupta, Nov 10 2013
STATUS
approved

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Last modified March 1 09:48 EST 2024. Contains 370432 sequences. (Running on oeis4.)