A275509 First occurrence of a run of exactly n consecutive integers with an odd number of prime factors.

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

Offset: 1

Author

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

Keywords

• nonn

Examples

			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.
		

Crossrefs

Cf. A005408, A066829, A066794.

Programs

PARI

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

Extensions

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