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

Author

Craig J. Beisel, Jun 03 2020

Keywords

• nonn
• more

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.

Examples

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

Links

• Index entries for sequences related to Goldbach conjecture

Crossrefs

Cf. A002375.

Programs

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, ", ")))