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Search: id:A069495
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| A069495 |
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Squares which are the arithmetic mean of two consecutive primes. |
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+0
3
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| 4, 9, 64, 81, 144, 225, 324, 441, 625, 1089, 1681, 2601, 3600, 4096, 5184, 6084, 8464, 12544, 13689, 16641, 19044, 19600, 25281, 27225, 28224, 29584, 36864, 38025, 39204, 45369, 46656, 47524, 51984, 56169, 74529, 87025, 88804, 91809, 92416
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=(A075190(n))^2 (Zak Seidov)
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EXAMPLE
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144 = (139 +149)/2 is a member.
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MATHEMATICA
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p = -1; Do[q = Prime[n]; If[ IntegerQ[ Sqrt[(p + q)/2]], Print[(p + q)/2]]; p = q, {n, 1, 10000} ]
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CROSSREFS
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Cf. A062703.
Adjacent sequences: A069492 A069493 A069494 this_sequence A069496 A069497 A069498
Sequence in context: A094083 A062758 A028822 this_sequence A029788 A062826 A140483
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 30 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 01 2002
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