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

Author

Hugo Pfoertner, Sep 16 2011

Keywords

• nonn

Comments

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

Checked up to n = 10^13.

Examples

			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.
		

References

• See A002091.

Links

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

Crossrefs

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

Extensions

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