A096628 Integers k for which {prime(1), prime(2), ..., prime(k)} (mod 4) is biased towards 1.

2946, 50378, 50380, 50382, 50383, 50384, 50385, 50386, 50387, 50388, 50389, 50390, 50391, 50392, 50414, 50415, 50416, 50417, 50418, 50419, 50420, 50421, 50422, 50424, 50426, 50428, 50430, 50436, 50438, 50446, 50447, 50448, 50450

Offset: 1

Author

Eric W. Weisstein, Jul 01 2004

Keywords

• nonn

Comments

Indices of negative terms in A038698. - Jianing Song, Feb 20 2019

Links

• Robert Israel, Table of n, a(n) for n = 1..7804
• Eric Weisstein's World of Mathematics, Chebyshev Bias

Crossrefs

Cf. A007350, A038691, A038698, A051024, A051025, A066520, A199547.

Programs

Maple

R:= NULL: count:= 0: v:= 0: p:= 2:
for i from 2 while count < 100 do
  p:= nextprime(p);
  if p mod 4 = 3 then v:= v+1
  else v:= v-1
  fi;
  if v < 0 then R:= R,i; count:= count+1 fi
od:
R; # Robert Israel, Apr 17 2023