This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A002091 From a Goldbach conjecture: the location of records in A185091. (Formerly M2773 N1116) 9
 3, 9, 19, 21, 55, 115, 193, 323, 611, 1081, 1571, 10771, 13067, 16321, 44881, 57887, 93167, 189947, 404939, 442307, 1746551, 3383593, 3544391, 5056787, 7480667, 25619213, 87170987, 404940757, 526805663, 707095391, 1009465507, 1048720723, 5315914139 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A stronger version of the second Goldbach conjecture (every odd number can be expressed as the sum of 3 primes) states that every odd number n > 5 can be written as n = 2*p + q, p, q prime. The conjecture was posed by E. Lemoine and later by H. Levy. The article by B.H. Mayoh assumes q {1,prime}. For the representations of n minimizing q, the sequence gives the value of n at which a larger q than for all representations of j 10^13. - Hugo Pfoertner, Sep 25 2011 REFERENCES Brian H. Mayoh, On the second Goldbach conjecture, Nordisk Tidskr. Informations-Behandling 6, 1966, 48-50. Emile Lemoine, L'intermédiaire des mathématiciens, 1 (1894), 179; ibid 3 (1896), 151. 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 Hugo Pfoertner, Table of n, a(n) for n = 1..49 Brian H. Mayoh, On the second Goldbach conjecture, BIT Numerical Mathematics 6 (1966) 1, 48-50 Wikipedia, Lemoine's conjecture EXAMPLE a(3)=19, because it is the first number for which q=5 is required. 3=2*1+1, 5=2*2+1, 7=2*3+1, 9=2*3+3, 11=2*5+1, 13=2*5+3, 15=2*7+1, 17=2*7+3, 19=2*7+5. CROSSREFS Cf. A002092 [values of q], A194828, A194829 [equivalent with q=1 excluded]. Cf. A185091. Sequence in context: A097267 A043097 A084670 * A056259 A056682 A032670 Adjacent sequences:  A002088 A002089 A002090 * A002092 A002093 A002094 KEYWORD nonn AUTHOR EXTENSIONS 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 24 18:12 EDT 2019. Contains 326295 sequences. (Running on oeis4.)