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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
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.
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
KEYWORD
nonn,more
AUTHOR
Craig J. Beisel, Jun 03 2020
STATUS
approved