A166388 Numbers of the form q-p, where p and q are prime and q = p^0+p^1+p^2+..+p^k for some k.

1, 5, 10, 26, 29, 125, 290, 1090, 1682, 2794, 3482, 5942, 7922, 8189, 10202, 17162, 19526, 27890, 29930, 30928, 85850, 88724, 131069, 146690, 292538, 458330, 491402, 524285, 552050, 579122, 597530, 683930, 703922, 732512, 734450, 797158, 829922

Offset

1,2

Links

Table of n, a(n) for n=1..37.

Example

For p = 2 and k = 1, q = 2^0+2^1 = 1+2 = 3 is prime, hence 3-2 = 1 is in the sequence.
For p = 3 and k = 6, q = 3^0+3^1+3^2+3^3+3^4+3^5+3^6 = 1+3+9+27+81+243+729 = 1093 is prime, hence 1093-3 = 1090 is in the sequence.

Crossrefs

Cf. A000040 (prime numbers).

Sequence in context: A211865 A083010 A324005 * A290055 A066872 A301537

Adjacent sequences: A166385 A166386 A166387 * A166389 A166390 A166391

Keyword

nonn

Author

Juri-Stepan Gerasimov, Oct 13 2009

Extensions

Edited and extended by Klaus Brockhaus, Oct 16 2009

Status

approved