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

Author

Hugo Pfoertner, Sep 03 2011

Keywords

• nonn

Comments

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

Examples

			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.
		

References

• See A002091.

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..50
• See A002091.

Crossrefs

Cf. A002091, A002092, A194829, A195353.