A195353 Odd numbers n>5 in the representation n=2*p+q, p, q prime, q maximal, at which a larger p than for any smaller n is needed. A195354 gives values of p.

7, 13, 31, 91, 451, 539, 1397, 1417, 1777, 3139, 14419, 39751, 77507, 96157, 158173, 214979, 263113, 496723, 1046179, 3415297, 3546371, 4306549, 9456677, 18338311, 45521269, 243377803, 766707661, 1023263789, 8032822531, 92635306249, 151318414531, 352799777983

Offset

1,1

Comments

2*(Positions of records in A195352) + 1.

Checked up to n = 10^13.

References

See A002091.

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..41

Example

a(3)=31 because it is the first number for which the representation n=2*p+q needs a larger value of p than for all smaller odd numbers. 31=2*7+17, whereas all smaller odd n can be expressed using p=2 or p=3.

Crossrefs

Cf. A195352, A195354 (records of p), A194828 (similar, but looking for records of q with p maximized)

Sequence in context: A091432 A102002 A239679 * A342184 A247178 A053183

Adjacent sequences: A195350 A195351 A195352 * A195354 A195355 A195356

Keyword

nonn

Author

Hugo Pfoertner, Sep 16 2011

Extensions

a(36)-a(41) from Hugo Pfoertner, Sep 26 2011

Status

approved