OFFSET
1,1
COMMENTS
Corresponding resulting primes: 1381,1933,3373,4261,6449,7577,10607,17683,22543,57859,..,
EXAMPLE
k=6 is a term because (13,17,19)*(23,29,31) = 13*23+17*29+19*31 = 1381 is prime.
MATHEMATICA
Select[Range[1000], PrimeQ[{Prime[#], Prime[#+1], Prime[#+2]}.{Prime[#+3], Prime[#+4], Prime[#+5]}]&]
PROG
(PARI) list(lim)=my(v=List(), p=2, q=3, r=5, s=7, t=11, n); forprime(u=13, , if(n++>lim, break); if(isprime(p*s+q*t+r*u), listput(v, n)); p=q; q=r; r=s; s=t; t=u); Vec(v) \\ Charles R Greathouse IV, Mar 20 2017
(Python)
from sympy import prime, isprime
print([n for n in range(1, 501) if isprime(prime(n)*prime(n+3) + prime(n+1)*prime(n+4) + prime(n+2)*prime(n+5))]) # Indranil Ghosh, Mar 20 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Mar 20 2017
STATUS
approved