

A082880


Largest value of A075860(j) when j runs through composite numbers between nth and (n+1)th primes. That is, the largest fixedpoint[=prime] reached by iteration of A008472(=sum of prime factors) initiated with composite values between two consecutive primes.


3



0, 2, 5, 7, 5, 3, 5, 13, 5, 7, 19, 7, 5, 13, 7, 31, 7, 7, 19, 5, 7, 43, 13, 19, 7, 13, 2, 5, 7, 61, 7, 19, 3, 73, 7, 7, 7, 43, 13, 19, 7, 13, 5, 7, 2, 103, 109, 3, 5, 31, 61, 7, 13, 19, 13, 31, 7, 139, 19, 2, 73, 151, 7, 5, 3, 43, 13, 31, 19, 13, 181, 19, 13, 7, 193, 23, 199, 29, 103, 73
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..80.


FORMULA

a(n)=Max[A075860(x); x=1+p(n), ..., 1+p(n+1)]


MATHEMATICA

ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ba[x_] := Table[Part[ffi[x], 2*w1], {w, 1, lf[x]}] sopf[x_] := Apply[Plus, ba[x]] Table[Max[Table[FixedPoint[sopf, w], {w, 1+Prime[n], Prime[n+1]1}]]


CROSSREFS

Cf. A075860, A008472, A082087, A082088, A082881, A029908.
Sequence in context: A138320 A199275 A135007 * A257321 A011038 A079378
Adjacent sequences: A082877 A082878 A082879 * A082881 A082882 A082883


KEYWORD

nonn


AUTHOR

Labos Elemer, Apr 16 2003


STATUS

approved



