|
%I
%S 1,2,3,4,5,6,7,8,9,10,12,11,13,15,14,16,18,20,17,22,19,21,25,23,24,27,
%T 26,28,29,30,31
%N Order of first occurrence of a sequence of exactly n consecutive primes of the form 6*k-1.
%C This sequence gives the index of A055626(n) after sorting by increasing magnitude.
%H J. K. Andersen, <a href="http://users.cybercity.dk/~dsl522332/math/congruent-primes.htm">Consecutive Congruent Primes</a>.
%H Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a085515.txt">Record producing runs of primes of the forms 6k+-1</a>
%H Hugo Pfoertner, <a href="http://www.enginemonitoring.net/math/isprim.txt">FORTRAN function ISPRIM to check primality.</a>
%e a(2)=2, a(3)=3, a(4)=4 because the first occurrence of exactly 3 consecutive
%e primes of the form 6*k-1 (47,53,59) follows the first occurrence of
%e exactly 2 (23,29) and precedes the first occurrence of exactly 4
%e (251,257,263,269) primes of this form.
%o FORTRAN program given at link.
%Y Cf. A055626, A085515 (sorted occurrence of first runs of "6k+1" primes).
%K more,nonn
%O 1,2
%A _Hugo Pfoertner_, Jul 31 2003
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 27 2006
|
