

A141553


Transformed nonprime products of prime factors of the composites, the largest prime decremented by 2 and the smallest prime incremented by 1.


1



0, 0, 4, 9, 6, 15, 12, 0, 9, 18, 20, 27, 12, 18, 33, 12, 30, 27, 0, 36, 45, 30, 18, 51, 44, 36, 45, 54, 36, 63, 24, 40, 45, 60, 66, 27, 54, 60, 68, 81, 54, 87, 60, 0, 66, 81, 90, 84, 75, 36, 105, 60, 102, 72, 99, 72, 36, 117, 90, 90, 123, 108, 108, 81, 88, 126, 116, 135, 102, 48
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OFFSET

1,3


COMMENTS

In the prime number decomposition of k=A002808(i), i=1,2,3,.., one instance of the largest prime, pmax=A052369(i), is replaced by pmax2 and one instance of the smallest prime, pmin=A056608(i), is replaced by pmin+1. If the product of this modified list of factors, k*(pmax2)*(pmin+1)/(pmin*pmax), is nonprime, it is added to the sequence.


LINKS

Table of n, a(n) for n=1..70.


EXAMPLE

k(1)=(p(max)=2)*(p(min)=2), transformed (22)*(2+1)=0*3=0=a(1).
k(2)=(p(max)=3)*(p(min)=2), transformed (32)*(2+1)=1*3=3 (prime, skipped).
k(3)=(p(max)=2)*(p=2)*(p(min)=2), transformed (22)*2*(2+1)=0*2*3=0=a(2), etc.


CROSSREFS

Cf. A141218, A141219, A141220, A141284.
Sequence in context: A261023 A171095 A075065 * A095065 A061207 A140694
Adjacent sequences: A141550 A141551 A141552 * A141554 A141555 A141556


KEYWORD

nonn


AUTHOR

JuriStepan Gerasimov, Aug 14 2008


EXTENSIONS

Edited and corrected by R. J. Mathar, Aug 18 2008


STATUS

approved



