|
|
A219957
|
|
Numbers expressible as 2*p + 3*q exactly in two ways, where p and q are primes (not necessarily distinct).
|
|
4
|
|
|
19, 25, 31, 35, 37, 49, 53, 59, 65, 85, 89
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
89 = 2*37 + 3*5 = 2*19 + 3*17.
|
|
MATHEMATICA
|
mx = 1000; s = Table[0, {mx}]; Do[a = 2 Prime[i] + 3 Prime[k]; s[[a]]++, {k, PrimePi[(mx - 4)/3]}, {i, PrimePi[(mx - 3 Prime[k])/2]}]; Flatten@Position[s, 2]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,fini,full
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|