A194828 - OEIS

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

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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.