A194828 Odd numbers n>5 in the representation n=2*p+q, p, q prime, q minimal, at which a larger q than for any smaller n is needed. A194829 gives values of q.

7, 11, 21, 23, 55, 83, 167, 611, 887, 1487, 1571, 10771, 12227, 13523, 16321, 44881, 54863, 57887, 93167, 189947, 404939, 442307, 1746551, 3383593, 3544391, 5056787, 6811307, 25619213, 87170987, 404940757, 526805663, 707095391, 1009465507, 1048720723

Offset

1,1

Comments

Related to Lemoine's conjecture, similar to A002091, but with q=1 excluded. Checked up to 2*10^13.

References

See A002091.

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..50

See A002091.

Example

a(4)=23, because 23 can only be represented by 23=2*5+13, whereas in A002091 23=2*11+1 avoids the need of increasing q for this representation.

Crossrefs

Cf. A002091, A002092, A194829, A195353.

Sequence in context: A184063 A076854 A356710 * A035704 A211436 A259260

Adjacent sequences: A194825 A194826 A194827 * A194829 A194830 A194831

Keyword

nonn

Author

Hugo Pfoertner, Sep 03 2011

Status

approved