A002092 From a Goldbach conjecture: records in A185091.

1, 3, 5, 7, 17, 29, 47, 61, 73, 83, 277, 317, 349, 419, 503, 601, 709, 829, 877, 1129, 1237, 1367, 1429, 1669, 1801, 2467, 2833, 2879, 3001, 3037, 3329, 3821, 4861, 5003, 5281, 5821, 5897, 6301, 6329, 6421, 6481, 6841, 7069, 7121, 7309, 7873, 8017, 8597, 8821

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

See A002091. The sequence gives the record values of q in the representations minimizing q of 2*k+1 = 2*p+q, p prime, q {1,prime}.

Checked up to 2*k = 10^13.

References

• Brian H. Mayoh, On the second Goldbach conjecture. Nordisk Tidskr. Informations-Behandling 6, 1966, pp. 48-50.
• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• See A002091.
• Index entries for sequences related to Goldbach conjecture

Crossrefs

Cf. A002372, A002373, A002374, A002375, A045917, A006307, A002091, A185091, A194828, A194829.

Formula

a(n) = A185091((A002091(n)+1)/2).

Extensions

Comment added, a(19)-a(32) from Hugo Pfoertner, Sep 03 2011

a(33) from Jason Kimberley, a(34)-a(40) from Hugo Pfoertner, Sep 09 2011

a(41)-a(49) from Hugo Pfoertner, Sep 25 2011