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Search: id:A082077
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| A082077 |
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Balanced primes of order two. |
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+0
16
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| 79, 281, 349, 439, 643, 677, 787, 1171, 1733, 1811, 2141, 2347, 2389, 2767, 2791, 3323, 3329, 3529, 3929, 4157, 4349, 4751, 4799, 4919, 4951, 5003, 5189, 5323, 5347, 5521, 5857, 5861, 6287, 6337, 6473, 6967, 6997, 7507, 7933, 8233, 8377, 8429, 9377
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The arithmetic mean of 4 primes in its "neighborhood"; not to be confused with 'Doubly balanced primes' (A051795).
Balanced primes of order two are not necessarily balanced order one or of order three.
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EXAMPLE
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p = 79 = (71 + 73 + 79 + 83 + 89)/5 = 395/5 i.e. it is both the arithmetic mean and mode.
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MATHEMATICA
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Do[s3=Prime[n]+Prime[n+1]+Prime[n+2]; s5=Prime[n-1]+s3+Prime[n+3]; If[Equal[s5/5, Prime[n+1]], Print[Prime[n+1]]], {n, 3, 3000}],
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CROSSREFS
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Cf. A006562, A082078, A082079, A096697, A096698, A096699, A096700, A096701, A096702, A096703, A096704.
Cf. A096693, A082080, A081415, A051795, A006562.
Sequence in context: A076815 A141914 A142932 this_sequence A158769 A158774 A157507
Adjacent sequences: A082074 A082075 A082076 this_sequence A082078 A082079 A082080
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 08 2003
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