|
|
A341215
|
|
Primes p such that 2*p+3*q and 3*p+2*q are prime, where q is the next prime after p.
|
|
1
|
|
|
5, 7, 11, 19, 29, 31, 37, 43, 53, 113, 127, 163, 173, 199, 257, 271, 317, 353, 397, 439, 457, 461, 557, 599, 659, 757, 809, 991, 997, 1019, 1069, 1129, 1289, 1327, 1439, 1447, 1549, 1621, 1733, 1747, 1759, 1831, 1913, 2027, 2113, 2141, 2153, 2309, 2339, 2357, 2383, 2423, 2473, 2663, 2741, 2801
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
a(3) = 11 is a term because the next prime is 13 and 2*11+3*13 = 61 and 3*11+2*13 = 59 are prime.
|
|
MAPLE
|
R:= NULL: count:= 0:
q:= 2:
while count < 100 do
p:= q; q:= nextprime(p);
if isprime(2*p+3*q) and isprime(3*p+2*q) then
count:= count+1; R:= R, p
fi
od:
R;
|
|
PROG
|
(PARI) isok(p) = isprime(p) && (q=nextprime(p+1)) && isprime(2*p+3*q) && isprime(3*p+2*q); \\ Michel Marcus, Feb 07 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|