

A246821


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


5



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
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OFFSET

2,2


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.
Sequence in context: A014257 A247576 A339133 * A212885 A319078 A246631
Adjacent sequences: A246818 A246819 A246820 * A246822 A246823 A246824


KEYWORD

nonn


AUTHOR

Vladimir Shevelev, Sep 04 2014


EXTENSIONS

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


STATUS

approved



