A064496 a(n) is the least k such that k * A007519(n) + 1 = 0 (mod 12).

7, 7, 11, 7, 11, 7, 7, 11, 7, 11, 7, 7, 11, 11, 7, 7, 11, 11, 7, 11, 7, 7, 11, 7, 11, 7, 7, 11, 7, 11, 7, 7, 7, 7, 11, 7, 7, 11, 11, 7, 7, 11, 11, 7, 11, 7, 11, 7, 11, 11, 7, 7, 7, 7, 11, 7, 7, 11, 11, 7, 7, 11, 11, 11, 11, 7, 7, 11, 11, 7, 11, 11, 7, 11, 7

Offset: 1

Author

Jon Perry, Oct 05 2001

Keywords

• nonn

Comments

Original name: Values of n such that 4j = np+1 where p = 8x+1, x integer, p prime and j mod 3 = 0.

Examples

			For example, A007519(1)=17, 4j=17p+1 implies k is 7 and j is 30. The values that give 7 form the basis for solutions for the Erdős-Straus conjecture: 4/n=1/a+1/b+1/c for n >= 2, a,b,c>0 and integers.
		

Links

• H. Mishima, Overview of "Mathematician's Secret Room"

Extensions

Entry revised by Sean A. Irvine, Jul 14 2023