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A374591
Even numbers that can be written as the sum of two isolated primes (A007510).
0
4, 46, 60, 70, 74, 76, 84, 90, 94, 100, 102, 104, 106, 112, 114, 116, 120, 126, 130, 132, 134, 136, 142, 144, 146, 150, 154, 156, 158, 160, 162, 164, 166, 168, 172, 174, 176, 178, 180, 184, 186, 190, 192, 194, 196, 198, 200, 202, 204, 206, 210, 214, 216, 220
OFFSET
1,1
EXAMPLE
4 = 2 + 2 is a term, as 2 is the smallest isolated prime.
60 = 23 + 37 is the smallest term that is the sum of two distinct isolated primes.
MATHEMATICA
Lim=220; ip=Select[Prime[Range[Lim]], NoneTrue[#+{2, -2}, PrimeQ]&] ; ipp[a_]:={a, a}; Select[Union[Total/@Join[ipp/@ip, Subsets[ip, {2}]]], EvenQ[#]&&#<=Lim&] (* James C. McMahon, Aug 10 2024 *)
CROSSREFS
Cf. A007510.
Sequence in context: A349866 A222899 A119729 * A134110 A176312 A309450
KEYWORD
nonn
AUTHOR
Marc Groz, Jul 12 2024
STATUS
approved