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 A056893 Smallest prime with square excess of n. 5
 2, 3, 7, 13, 41, 31, 23, 89, 73, 59, 47, 61, 113, 239, 79, 97, 593, 139, 163, 461, 277, 191, 167, 193, 281, 251, 223, 317, 353, 991, 431, 761, 433, 563, 359, 397, 521, 479, 439, 569, 617, 571, 619, 773, 829, 887, 947, 673, 1493, 1571, 727, 1013, 953, 1279 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) =n+A056894(n). a(n) = min{p in A000040: A053186(p) = n}. - R. J. Mathar, Jul 28 2013 EXAMPLE a(4)=13 since 13=3^2+4, while 2, 3, 5, 7 and 11 have square excesses of 1, 2, 1, 3 and 3 respectively. MAPLE A056893 := proc(n) local p ; p :=2 ; while A053186(p) <> n do p := nextprime(p) ; end do: return p ; end proc: # R. J. Mathar, Jul 28 2013 PROG (PARI) A056893(n)={ local(p=2) ; while( A053186(p)!=n, p=nextprime(p+1) ) ; return(p) } /* R. J. Mathar, Jul 28 2013 */ CROSSREFS Cf. A053186, A000196, A002496, A048760, A056892-A056898. Sequence in context: A013917 A293994 A196419 * A051130 A078749 A046062 Adjacent sequences: A056890 A056891 A056892 * A056894 A056895 A056896 KEYWORD nonn AUTHOR Henry Bottomley, Jul 05 2000 STATUS approved

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Last modified February 5 03:48 EST 2023. Contains 360082 sequences. (Running on oeis4.)