

A275508


First occurrence of a run of exactly n consecutive integers with an even number of prime factors.


0



1, 9, 14, 33, 54, 201, 140, 2170, 213, 4529, 10403, 1934, 35811, 162144, 38405, 414225, 200938, 389409, 1792209, 5606457, 18493931, 30947532, 61190563, 8405437, 203631499, 577699919, 158280474, 68780189, 4082994208, 3944563444
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..30.


EXAMPLE

a(3)=14 because 14 begins the first occurrence of a run of exactly 3 consecutive integers with an even number of prime factors, i.e., 14=2*7, 15=3*5, 16=2*2*2*2.


PROG

(PARI) v=vector(100); last=0; for(n=1, 1e10, if(bigomega(n)%2, t=nlast1; if(t && v[t]==0, v[t]=nt; print(t" "nt)); last=n)) \\ Charles R Greathouse IV, Jul 30 2016


CROSSREFS

Cf. A005843, A066829.
Sequence in context: A229543 A175201 A066793 * A139055 A294030 A079625
Adjacent sequences: A275505 A275506 A275507 * A275509 A275510 A275511


KEYWORD

nonn


AUTHOR

G. L. Honaker, Jr., Jul 30 2016


EXTENSIONS

a(11)a(30) from Charles R Greathouse IV, Jul 30 2016


STATUS

approved



