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A051795
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Doubly balanced primes: primes which are averages of both their immediate and their second neighbors.
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13
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18731, 25621, 28069, 30059, 31051, 44741, 76913, 97441, 103669, 106681, 118831, 128449, 135089, 182549, 202999, 240491, 245771, 249199, 267569, 295387, 347329, 372751, 381401, 435751, 451337, 455419, 471521, 478099, 498301, 516877, 526441
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OFFSET
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1,1
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COMMENTS
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Could also be called overbalanced or [3,5]-balanced primes: balanced primes which are equally average of 3,5 consecutive prime neighbors as follows: a(n)=[q+a(n)+r]/3=[p+q+a(n)+r+s]/5 See 3-balanced=A006562;[3,5,7]-balanced=A081415. - Labos E. (labos(AT)ana.sote.hu), Apr 02 2003
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LINKS
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Jud McCranie, Table of n, a(n) for n = 1..1000
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EXAMPLE
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25621 belongs to the sequence because 25621 = (25609 + 25633)/2 = (25603 + 25609 + 25633 + 25639)/4
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MATHEMATICA
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Do[s=Prime[n-1]+Prime[n]+Prime[n+1]; s1=Prime[n-2]+s+Prime[n+2]; If[Equal[s/3, Prime[n]]&&Equal[s1/5, Prime[n]], Print[Prime[n]]], {n, 4, 1000000}] (From Labos)
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CROSSREFS
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Cf. A006562, A081415, A096710, A055380.
Sequence in context: A031817 A157740 A081416 * A212077 A224573 A031643
Adjacent sequences: A051792 A051793 A051794 * A051796 A051797 A051798
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KEYWORD
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easy,nonn
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AUTHOR
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Harvey P. Dale, Dec 10 1999
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STATUS
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approved
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