

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.


6



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
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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: A106674 A184063 A076854 * A035704 A211436 A259260
Adjacent sequences: A194825 A194826 A194827 * A194829 A194830 A194831


KEYWORD

nonn


AUTHOR

Hugo Pfoertner, Sep 03 2011


STATUS

approved



