A085516 Order of first occurrence of a sequence of exactly n consecutive primes of the form 6*k-1.

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, 26, 28, 29, 30, 31, 32, 35, 33, 34

Offset: 1

Author

Hugo Pfoertner, Jul 31 2003

Keywords

• more
• nonn

Comments

This sequence gives the index of A055626(n) after sorting by increasing magnitude.

Examples

			a(2)=2, a(3)=3, a(4)=4 because the first occurrence of exactly 3 consecutive primes of the form 6*k-1 (47,53,59) follows the first occurrence of exactly 2 (23,29) and precedes the first occurrence of exactly 4 (251,257,263,269) primes of this form.
		

Links

• J. K. Andersen, Consecutive Congruent Primes.
• Hugo Pfoertner, Record producing runs of primes of the forms 6k+-1.
• Hugo Pfoertner, FORTRAN function ISPRIM to check primality.

Crossrefs

Cf. A055626, A085515 (sorted occurrence of first runs of "6k+1" primes).

Programs

Fortran

! Program given at link.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 27 2006

a(32)-a(35) from Giovanni Resta, Aug 04 2013