Conjecturally, this is the minimal y such that n primes occur infinitely often among (x+1, ..., x+y), that is, pi(x+y) - pi(x) >= n for infinitely many x.

A020497

Conjecturally, this is the minimal y such that n primes occur infinitely often among (x+1, ..., x+y), that is, pi(x+y) - pi(x) >= n for infinitely many x.

Terms

    a(0) =1a(1) =3a(2) =7a(3) =9a(4) =13a(5) =17a(6) =21a(7) =27a(8) =31a(9) =33a(10) =37a(11) =43a(12) =49a(13) =51a(14) =57a(15) =61a(16) =67a(17) =71a(18) =77a(19) =81a(20) =85a(21) =91a(22) =95a(23) =101a(24) =111a(25) =115a(26) =121a(27) =127a(28) =131a(29) =137

External references