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A056892
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Square excess of n-th prime.
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17
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1, 2, 1, 3, 2, 4, 1, 3, 7, 4, 6, 1, 5, 7, 11, 4, 10, 12, 3, 7, 9, 15, 2, 8, 16, 1, 3, 7, 9, 13, 6, 10, 16, 18, 5, 7, 13, 19, 23, 4, 10, 12, 22, 24, 1, 3, 15, 27, 2, 4, 8, 14, 16, 26, 1, 7, 13, 15, 21, 25, 27, 4, 18, 22, 24, 28, 7, 13, 23, 25, 29, 35, 6, 12, 18, 22, 28, 36, 1, 9, 19, 21
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = A053186(A000040(n))
A056892 = A000040 - A000006^2 [From M. F. Hasler (www.univ-ag.fr/~mhasler), Oct 04 2009]
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EXAMPLE
| a(5) = 2 since 5th prime is 11 = 3^2+2
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MATHEMATICA
| lst={}; Do[p=Prime[n]; s=p^(1/2); f=Floor[s]; a=f^2; d=p-a; AppendTo[lst, d], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 11 2009]
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PROG
| (PARI) A056892(n)={my(p=prime(n)); p-sqrtint(p)^2)} [From M. F. Hasler (www.univ-ag.fr/~mhasler), Oct 04 2009]
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CROSSREFS
| Cf. A000040, A000196, A002496, A048760, A053186, A056892-A056898.
Sequence in context: A023129 A007337 A167430 * A136523 A163507 A003963
Adjacent sequences: A056889 A056890 A056891 * A056893 A056894 A056895
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 05 2000
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