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 A187797 Numbers having at least two different ordered partitions p+q and (p+2)+(q-2) where p, q, p+2 and q-2 are all prime. 0
 10, 16, 18, 22, 24, 30, 34, 36, 42, 46, 48, 54, 60, 64, 66, 72, 76, 78, 84, 90, 102, 106, 108, 112, 114, 120, 126, 132, 138, 142, 144, 150, 154, 156, 162, 168, 174, 180, 184, 186, 192, 196, 198, 202, 204, 210, 216, 222, 228, 232, 234, 240, 244, 246, 252, 258, 264, 270, 274, 276, 282, 286 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE For n=10, the partition solutions are 3+7 and 5+5, giving p=3, q=7, p+2=5, q-2=5. MAPLE isA187797 := proc(n)     local i, p, q ;     for i from 1 do         p := ithprime(i) ;         q := n-p ;         if q <= p+2 then             return false;         end if;         if isprime(q) then             if isprime(p+2) and isprime(q-2) then                 return true;             end if;         end if;     end do:     return false; end proc: for n from 4 to 600 do     if isA187797(n) then         printf("%d, ", n);     end if; end do: # R. J. Mathar, Oct 03 2013 CROSSREFS Sequence in context: A104868 A103208 A323196 * A192221 A106695 A053747 Adjacent sequences:  A187794 A187795 A187796 * A187798 A187799 A187800 KEYWORD nonn AUTHOR Bob Gilson, Aug 30 2013 STATUS approved

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Last modified May 24 14:49 EDT 2019. Contains 323532 sequences. (Running on oeis4.)