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Search: id:A111440
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| A111440 |
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Squares of the form semiprime(n) + prime(n). |
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+0 3
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| 9, 25, 64, 81, 400, 576, 1024, 1296, 2304, 2704, 4096, 7225, 7744, 10816, 14884, 15376, 19044, 20736, 22500, 25600, 26244, 28900, 33124, 35344, 39601, 41616, 46656, 47961, 48400, 52900, 55225, 89401, 91204, 96100, 99856, 114921, 136900
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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The first 3 semiprimes are {4,6,9} and the first 3 primes are {2,3,5}. The second term in each are {6,3} whose sum is 9, a square. - Robert G. Wilson v.
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MATHEMATICA
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sp = Select[ Range[10^5], Plus @@ Last /@ FactorInteger@ # == 2 &]; s = Select[ Range@Length@sp, IntegerQ[ Sqrt[sp[[ # ]] + Prime@# ]] &]; sp[[s]] + Prime[s]; (* Robert G. Wilson v *)
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CROSSREFS
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Sequence in context: A124702 A113829 A049740 this_sequence A077118 A126363 A036836
Adjacent sequences: A111437 A111438 A111439 this_sequence A111441 A111442 A111443
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KEYWORD
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nonn
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AUTHOR
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Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Nov 14 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 18 2005
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