cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A225375 Odd numbers with exactly 2 distinct prime factors.

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%I A225375 #24 Feb 23 2024 20:01:59
%S A225375 15,21,33,35,39,45,51,55,57,63,65,69,75,77,85,87,91,93,95,99,111,115,
%T A225375 117,119,123,129,133,135,141,143,145,147,153,155,159,161,171,175,177,
%U A225375 183,185,187,189,201,203,205,207,209,213,215,217,219,221,225,235,237
%N A225375 Odd numbers with exactly 2 distinct prime factors.
%C A225375 Numbers of the form p^i*q^j where p, q are distinct odd primes and i>=1, j>=1.
%C A225375 Subset of A098905 (which contains in addition A046390 and numbers like 255255, 285285, 345345, 373065 etc.).
%p A225375 isA225375 := proc(n) RETURN( (n mod 2 = 1) and (A001221(n) = 2) ); end proc:
%p A225375 for n from 1 to 840 do if isA225375(n) then printf("%d,",n) ; end if; end do:
%t A225375 Select[2 Range[200] + 1, PrimeNu[#] == 2&] (* _Jean-François Alcover_, Apr 04 2020 *)
%o A225375 (PARI) is_A046388(n)={ bittest(n,0) & omega(n)==2 } \\ _M. F. Hasler_, Feb 13 2012
%Y A225375 Subsequence of A272592. A046388 is a subsequence.
%Y A225375 Cf. A046315, A046390, A046404, A024556, A056913.
%Y A225375 Different from A046388, A098905.
%K A225375 nonn
%O A225375 1,1
%A A225375 _R. J. Mathar_, Oct 13 2008
%E A225375 Entry created by _N. J. A. Sloane_, May 09 2013 in order to restore the original definition of A046388.