A064496 Values of n such that 4j = np+1 where p = 8x+1, x integer, p prime and j mod 3 = 0.

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

Offset

0,1

Links

Table of n, a(n) for n=0..72.

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

Example

E.g. x=2 gives p=17. 4j=17p+1 implies n 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

Status

approved