A084563 Even numbers having no more than three partitions into two odd primes.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 38, 40, 44, 52, 56, 62, 68, 98, 128

Offset: 1

Author

Reinhard Zumkeller, May 30 2003

Keywords

• nonn
• more

Comments

A002375(a(n)/2) <= 3.

There are no other terms <= 30000. Could it be that no other terms exist? - John W. Layman, Jul 28 2003

There are no further terms < 100000. - Harvey P. Dale, Apr 17 2018

Links

• Eric Weisstein's World of Mathematics, Goldbach Partition.
• Index entries for sequences related to Goldbach conjecture

Crossrefs

Cf. A084562, A084564.

Programs

Mathematica

nn=10^2; ps=Boole[PrimeQ[Range[1,2*nn,2]]]; Select[Range[nn],Sum[ps[[i]]ps[[#-i+1]],{i,Ceiling[#/2]}]<=3&]*2 (* Jayanta Basu, May 25 2013 *)
p2Q[n_]:=Count[n-Prime[Range[2,PrimePi[n/2]]],?PrimeQ]<4; Select[ 2*Range[70],p2Q] (* _Harvey P. Dale, Apr 17 2018 *)