A002092 From a Goldbach conjecture: records in A185091. (Formerly M2424 N0959)

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

1,2

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

Table of n, a(n) for n=1..49.

See A002091.

Index entries for sequences related to Goldbach conjecture

Formula

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

Crossrefs

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

Sequence in context: A220454 A257592 A032496 * A274906 A296422 A370686

Adjacent sequences: A002089 A002090 A002091 * A002093 A002094 A002095

Keyword

nonn

Author

N. J. A. Sloane

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

Status

approved