|
|
A175159
|
|
Primes p such that 2*p+3, 4*p+9 and 16*p+45 are also prime.
|
|
1
|
|
|
7, 43, 47, 67, 97, 137, 307, 397, 467, 1063, 1153, 1373, 1427, 1453, 1523, 1567, 2647, 2857, 2927, 3613, 3767, 4513, 6047, 6997, 7433, 7477, 8093, 8237, 8363, 8693, 8803, 8863, 9133, 9377, 11093, 11173, 11437, 11593, 12037, 12097, 12163, 12437, 12703
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
For p=7 (17,37,157); p=43, (89,181,733);
|
|
MATHEMATICA
|
okQ[n_]:=And@@PrimeQ[{2n+3, 4n+9, 16n+45}]; Select[Prime[Range[1600]], okQ] (* Harvey P. Dale, Oct 14 2012 *)
|
|
PROG
|
(Magma) [ p: p in PrimesUpTo(50000) | IsPrime(p) and IsPrime(2*p+3) and IsPrime(4*p+9) and IsPrime(16*p+45)]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|