Greatest k for which the Andrica-like conjectural inequalities, prime(k+1)-prime(k)-(1/n)*sqrt(prime(k)) < 0, appear to fail, based on empirical evidence.

A161623

Greatest k for which the Andrica-like conjectural inequalities, prime(k+1)-prime(k)-(1/n)*sqrt(prime(k)) < 0, appear to fail, based on empirical evidence.

Terms

    a(0) =30a(1) =429a(2) =3644a(3) =4612a(4) =14357a(5) =31545a(6) =40933a(7) =49414a(8) =104071a(9) =149689a(10) =149689a(11) =149689a(12) =149689a(13) =165326a(14) =325852a(15) =325852a(16) =415069a(17) =415069a(18) =491237a(19) =566214

External references