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

1,1

Comments

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

Links

Table of n, a(n) for n=1..75.

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

Example

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.

Crossrefs

Sequence in context: A306530 A094460 A070642 * A084513 A084523 A336019

Adjacent sequences: A064493 A064494 A064495 * A064497 A064498 A064499

Keyword

nonn

Author

Jon Perry, Oct 05 2001

Extensions

Entry revised by Sean A. Irvine, Jul 14 2023

Status

approved