

A275509


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


0



5, 2, 11, 17, 41, 27, 170, 279, 428, 8825, 5879, 27937, 19453, 13871, 41233, 171707, 1100826, 1004646, 1633357, 5460156, 11902755, 49390927, 21627159, 38821328, 41983357, 619535061, 259681234, 1250565732, 799932281, 4168699147, 867086432, 2487208142, 179376463
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..33.


EXAMPLE

a(3) = 11 because 11 begins the first occurrence of a run of exactly 3 consecutive integers with an odd number of prime factors, i.e., 11, 12 = 2 * 2 * 3, 13.


PROG

(PARI) v=vector(100); last=0; for(n=1, 1e10, if(bigomega(n)%2==0, t=nlast1; if(t && v[t]==0, v[t]=nt; print(t" "nt)); last=n)) \\ Charles R Greathouse IV, Jul 31 2016


CROSSREFS

Cf. A005408, A066829, A066794.
Sequence in context: A302773 A249369 A065268 * A286142 A286143 A130298
Adjacent sequences: A275506 A275507 A275508 * A275510 A275511 A275512


KEYWORD

nonn


AUTHOR

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


EXTENSIONS

a(9)a(33) from Charles R Greathouse IV, Jul 31 2016


STATUS

approved



