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A073435 Smallest x such that remainder if x-th composite is divided by pi(x) equals n. 3
4, 7, 8, 13, 30, 17, 35, 23, 40, 50, 53, 51, 55, 52, 63, 60, 68, 69, 146, 76, 154, 83, 156, 162, 172, 177, 185, 109, 195, 187, 192, 188, 189, 190, 208, 209, 210, 214, 215, 216, 217, 230, 218, 219, 220, 224, 225, 251, 248, 249, 250, 255, 256, 262, 267, 280, 289 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = Min{x; Mod[A002808(x), A000720(x)]=n} = Min{x; A065861(x)=n}.

EXAMPLE

Remainder=4 appears first as Mod[c[13],Pi[13]]=Mod[22,6]=4, so a(4)=13.

MAPLE

N:= 100: m:= 1: V:= Vector(N): count:= 0:

for n from 6 while count < N do

  if not isprime(n) then

    m:= m+1;

    t:= n mod numtheory:-pi(m);

    if t > 0 and t <= N and V[t] = 0 then

      count:= count+1; V[t]:= m

    fi

  fi

od:

convert(V, list); # Robert Israel, May 21 2020

CROSSREFS

Cf. A000720, A002808, A065861.

Sequence in context: A051027 A291402 A328792 * A324854 A086987 A051219

Adjacent sequences:  A073432 A073433 A073434 * A073436 A073437 A073438

KEYWORD

nonn,look,changed

AUTHOR

Labos Elemer, Jul 31 2002

STATUS

approved

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Last modified May 25 17:53 EDT 2020. Contains 334595 sequences. (Running on oeis4.)