A119593 Primes for which the weight as defined in A117078 is 7 and the gap as defined in A001223 is 4.

67, 193, 277, 487, 613, 823, 907, 1663, 1873, 2083, 2293, 2377, 2797, 3217, 3343, 3847, 4813, 5233, 5527, 5653, 5737, 6577, 6997, 7207, 7753, 8677, 8803, 9433, 11113, 11617

Offset

1,1

Comments

The prime numbers in this sequence are of the form (14i-3) with i=(level(n)+1)/2, level(n) defined in A117563.

Links

Remi Eismann, Table of n, a(n) for n=1..10000

Formula

Primes p such that (1) p = 53 or 67 mod 70 and (2) p+4 is prime. - Charles R Greathouse IV, Sep 17 2022

a(n) = Omega(n log^2 n). - Charles R Greathouse IV, Sep 17 2022

Prog

(PARI) forprimestep(p=67, 1e4, 14, t=p%5; if((t==2 || t==3) && isprime(p+4), print1(p", "))) \\ Charles R Greathouse IV, Sep 17 2022
(PARI) p=67; forprime(q=p+2, 1e4, if(q-p==4 && (p%70==53 || p%70==67), print1(p", ")); p=q) \\ Charles R Greathouse IV, Sep 17 2022

Crossrefs

Cf. A117078, A001223, A117563, A001359, A118359, A074822, A118922, A118924, A119504.

Sequence in context: A259888 A142671 A144326 * A142891 A142049 A280162

Adjacent sequences: A119590 A119591 A119592 * A119594 A119595 A119596

Keyword

nonn,easy

Author

Rémi Eismann, Jun 01 2006, May 04 2007

Status

approved