A084564 -id:A084564 - cp's OEIS frontend

A084562 Even numbers having no more than two partitions into two odd primes.

Original entry on oeis.org

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 28, 32, 38, 68

Offset: 1

Reinhard Zumkeller, May 30 2003

nonn

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

Conjecture: there are no more terms.

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

Cf. A084563, A084564.

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

Original entry on oeis.org

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

Reinhard Zumkeller, May 30 2003

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

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

Cf. A084562, A084564.

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 *)

cp's OEIS Frontend

A084562 Even numbers having no more than two partitions into two odd primes.

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