A246821 Max _{2<=k<=n} floor(A242720(k)/prime(k)) - prime(n).

1, 2, 4, 8, 6, 8, 6, 14, 14, 16, 10, 14, 12, 26, 26, 20, 18, 12, 26, 37, 31, 27, 50, 42, 38, 36, 32, 30, 41, 27, 23, 27, 25, 15, 16, 22, 16, 26, 20, 14, 29, 19, 34, 30, 40, 40, 28, 24, 22, 18, 12, 10, 20, 20, 14, 8, 16, 10, 26, 41, 31, 17, 13, 11, 45, 31, 47

Offset: 2

Author

Vladimir Shevelev, Sep 04 2014

Keywords

• nonn

Comments

Conjecture: a(n) = o(prime(n)), as n goes to infinity.

If the conjecture is true, then A242720(n) ~ prime(n)^2. Indeed, A242720(n) >= prime(n)^2 + 2*prime(n) + 3; on the other hand, by the conjecture, we have A242720(n)/prime(n) <= a(n) + 1 + prime(n) = prime(n)*(1+o(1)).

Links

• Peter J. C. Moses, Table of n, a(n) for n = 2..2501

Crossrefs

Cf. A242719, A242720, A246748, A246819.

Extensions

More terms from Peter J. C. Moses, Sep 04 2014