The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A335360 Numbers m such that the number of unordered Goldbach partitions of 2m is greater than the number of unordered Goldbach partitions of 4m. 0

%I #16 Jun 08 2020 17:34:51

%S 17,32,38,143,353

%N Numbers m such that the number of unordered Goldbach partitions of 2m is greater than the number of unordered Goldbach partitions of 4m.

%C Integers m such that A002375(2*m) > A002375(4*m) .

%C It is conjectured that a(5)=353 is the last term in this sequence.

%H <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>

%e For a(1)=17, 2*17=34 has 4 Goldbach partitions and 4*17=68 has 2.

%o (PARI) for(n=1, 1000, x=0; y=0; forprime(i=2, 2*n, if(i<=n && isprime(2*n-i), x=x+1; ); if(isprime(4*n-i), y=y+1; ); ); if(x>y, print1(n, ", ")))

%Y Cf. A002375.

%K nonn,more

%O 1,1

%A _Craig J. Beisel_, Jun 03 2020

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 7 01:45 EDT 2024. Contains 373140 sequences. (Running on oeis4.)