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Smallest oblong number having at least n distinct prime divisors.
4

%I #23 Jan 21 2023 02:27:39

%S 2,6,30,210,4290,43890,510510,53501910,1487683470,64790866140,

%T 530514844860,126408523110870,3425113062060690,660393717163700520,

%U 26657280574571657010,3448055881024876471350,308480161111936386482910

%N Smallest oblong number having at least n distinct prime divisors.

%C a(18) <= 32521466098360753728404190. - _Donovan Johnson_, Oct 05 2011

%C Oblong numbers are those of the form n(n+1) = A002378(n) = 2*A000217(n).

%e a(4)= 210 = 2*3*5*7.

%o (PARI) {odf(m) = print1(0","); for(n=1,m, k=1; while(omega(k*(k+1))!=n,k++); print1(k*(k+1)",")) }

%Y Cf. A002378, A059958.

%K nonn

%O 1,1

%A _Jason Earls_, May 30 2003

%E More terms from _Don Reble_, Jun 03 2003

%E a(15)-a(16) from _Donovan Johnson_, Apr 26 2009

%E a(17) from _Donovan Johnson_, Sep 15 2010