A339954 Primes q such that (p+2*q+r)/6 is a prime, where p,q,r are consecutive primes.

7, 11, 17, 19, 43, 71, 101, 107, 109, 127, 197, 227, 349, 461, 691, 701, 719, 857, 863, 881, 919, 929, 967, 1091, 1279, 1423, 1429, 1451, 1487, 1597, 1637, 1847, 1873, 1933, 1949, 2141, 2237, 2239, 2801, 2803, 2819, 3023, 3121, 3167, 3373, 3463, 3467, 3709, 4127, 4129, 4153, 4517, 4637, 4787

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

(A151799(a(n))+2*a(n)+A151800(a(n)))/6 = A339953(n).

Example

a(3) = 17 is a term because 13, 17, 19 are consecutive primes and (13+2*17+19)/6 = 11 is a prime.

Maple

q:= 2: r:= 3:
count:= 0: R:= NULL:
while count < 100 do
   p:= q; q:= r; r:= nextprime(r);
   w:= (p+2*q+r)/6;
   if w::integer and isprime(w) then
    count:= count+1; R:= R, q;
   fi
od:
R;

Crossrefs

Cf. A151799, A151800, A339953.

Sequence in context: A063639 A230223 A309587 * A260893 A352630 A360396

Adjacent sequences: A339951 A339952 A339953 * A339955 A339956 A339957

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Dec 24 2020

Status

approved