|
|
A078622
|
|
Primes of the form prime(n)*prime(n*2)+2.
|
|
1
|
|
|
23, 67, 733, 1009, 4603, 16519, 66301, 154459, 161221, 173713, 327079, 750679, 1694809, 1940683, 2023741, 2042281, 3012169, 3852973, 4011523, 4704199, 5407561, 5536213, 7292251, 7347229, 8484901, 11359939, 11633971, 12559189
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
43 = prime(14), 107 = prime(14*2) and 43*107+2 = 4603 is prime, therefore 4603 is a term.
|
|
MATHEMATICA
|
Select[Table[Prime[n]Prime[2n]+2, {n, 500}], PrimeQ] (* Harvey P. Dale, Nov 28 2011 *)
|
|
PROG
|
(PARI) for(n=1, 1000, p=prime(n); p2=prime(2*n); Q=p*p2+2; if(isprime(Q), print1(Q, ", ")))
(Magma) [ p: n in [1..400] | IsPrime(p) where p is NthPrime(n)*NthPrime(n*2)+2 ];
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|