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Search: id:A123078
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| A123078 |
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Numbers that are the arithmetic mean of 1000 consecutive primes. |
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| 10820, 15682, 19672, 23340, 25067, 33873, 37387, 39377, 47782, 59635, 75249, 82619, 86378, 87303, 89198, 92217, 97495, 111989, 131987, 133441, 162286, 164644, 178666, 181532, 182196, 200088, 203450, 215280, 215612, 218527, 221526, 229733
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Corresponding indices of the first primes are: 812, 1323, 1731, 2097, 2268, 3121, 3456, 3645, 4428, 5518, 6914, 7569, 7899, 7980, 8146, 8412, 8875 A102655 Numbers which are the arithmetic mean of four successive primes. A122040 Numbers which are equal to arithmetic mean of six successive primes. A122480 Least k>2 such that n is equal to arithmetic mean of k consecutive primes. A122808 Least number that is the arithmetic mean of n (but no fewer) consecutive primes.
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EXAMPLE
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(p(812)+p(813)+...+p(812+998)+p(812+999))/1000=10820, p(n)=nth prime.
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MATHEMATICA
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Select[Table[Sum[Prime[k], {k, n, n + 999}]/1000, {n, 50000}], IntegerQ] - Elizabeth A. Blickley (Elizabeth.Blickley(AT)gmail.com), Oct 10 2006
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CROSSREFS
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Cf. A102655, A122040, A122480, A122808.
Sequence in context: A010089 A093770 A144716 this_sequence A065321 A164824 A083513
Adjacent sequences: A123075 A123076 A123077 this_sequence A123079 A123080 A123081
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 27 2006
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EXTENSIONS
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More terms from Elizabeth A. Blickley (Elizabeth.Blickley(AT)gmail.com), Oct 10 2006
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