A194829 Records of primes q in the representation of odd n>5 by n=2*p+q, p, q prime, q minimal. A194828 gives the values of n at which an increase of q is required.

3, 5, 7, 13, 17, 37, 61, 73, 109, 181, 277, 317, 349, 397, 419, 503, 577, 601, 709, 829, 877, 1129, 1237, 1367, 1429, 1669, 1993, 2467, 2833, 2879, 3001, 3037, 3329, 3821, 4861, 5003, 5281, 5821, 5897, 6301, 6329, 6421, 7129, 7309, 7873, 8017, 8597, 8821, 8969, 9157

Offset: 1

Author

Hugo Pfoertner, Sep 03 2011

Keywords

• nonn

Comments

See A002091. Checked up to n=2*10^13.

Examples

			a(5)=17, because it is the smallest possible value of q in the representation of 55=2*p+q. 55-3=52, 55-5=50, 55-7=48, 55-11=44, 55-13=42, none of which has the form 2*p. 55-17=38=2*19. All odd numbers < 55 can be represented using a q<17.
		

References

• See A002091.

Links

• See A002091.

Crossrefs

Cf. A194828, A002091, A002092 [q=1 allowed], A195354.

Extensions

a(35)-a(43) from Hugo Pfoertner, Sep 11 2011

a(44)-a(49) from Hugo Pfoertner, Sep 18 2011

a(50) from Hugo Pfoertner, Sep 22 2011