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A122207
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Primes of the form A109724[n] = A007504[n^2] or the sum of the first n^2 primes.
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2
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2, 17, 8893, 24133, 768373, 1583293, 2180741, 3875933, 6426919, 173472547, 289093219, 741938801, 2738357903, 2895147163, 3058653607
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Numbers n such that A109724[n] = A007504[n^2] is a prime are listed in A122208[n] = {1,2,8,10,22,26,28,32,36,78,88,110,150,152,154,...}.
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FORMULA
| a(n) = A109724[ A122208[n] ] = A007504[ A122208[n]^2 ].
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EXAMPLE
| Prime 17 = 2 + 3 + 5 + 7 = a(2) is equal to the sum of the first 4 = 2^2 primes.
Prime 24133 = a(4) is equal to sum of the first 100 = 10^2 primes.
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MATHEMATICA
| s=0; Do[s=Sum[Prime[k], {k, 1, n^2}]; If[PrimeQ[s], Print[{n, n^2, s}]], {n, 1, 154}]
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CROSSREFS
| Cf. A122208, A109724, A007504.
Sequence in context: A092415 A060353 A002814 * A174305 A003819 A078624
Adjacent sequences: A122204 A122205 A122206 * A122208 A122209 A122210
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 25 2006
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