A335360 Numbers m such that the number of unordered Goldbach partitions of 2m is greater than the number of unordered Goldbach partitions of 4m.

17, 32, 38, 143, 353

Offset

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..5.

Index entries for sequences related to Goldbach conjecture

Example

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

Prog

(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, ", ")))

Crossrefs

Cf. A002375.

Sequence in context: A275994 A046990 A059212 * A058899 A038354 A043127

Adjacent sequences: A335357 A335358 A335359 * A335361 A335362 A335363

Keyword

nonn,more

Author

Craig J. Beisel, Jun 03 2020

Status

approved