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A075730 Squares of odd semiprimes A046315, odd numbers divisible by exactly 2 primes (counted with multiplicity). 1

%I #14 Mar 22 2021 06:04:49

%S 81,225,441,625,1089,1225,1521,2401,2601,3025,3249,4225,4761,5929,

%T 7225,7569,8281,8649,9025,12321,13225,14161,14641,15129,16641,17689,

%U 19881,20449,21025,24025,25281,25921,28561,31329,33489,34225,34969,40401

%N Squares of odd semiprimes A046315, odd numbers divisible by exactly 2 primes (counted with multiplicity).

%H Amiram Eldar, <a href="/A075730/b075730.txt">Table of n, a(n) for n = 1..10000</a>

%F Sum_{n>=1} 1/a(n) = P(2)^2/2 + P(4)/2 - P(2)/4 = 0.02769857933..., where P is the prime zeta function. - _Amiram Eldar_, Mar 22 2021

%e 9 is odd and divisible by 3 (twice) and 9*9=81.

%e 15 is odd and divisible by 3 and 5 and 15*15=225.

%p readlib(issqr): ts_kv_sp_lih := proc(n); if (numtheory[bigomega](n)=4 and type(n,odd)='true' and issqr(n)='true') then RETURN(n); fi; end: seq(ts_kv_sp_lih(i), i=1..100000);

%t Select[Range[1, 201, 2], PrimeOmega[#] == 2 &]^2 (* _Amiram Eldar_, Mar 22 2021 *)

%Y Equals A046315(n)^2.

%K easy,nonn

%O 1,1

%A _Jani Melik_, Oct 07 2002

%E Checked by _Zak Seidov_, Mar 08 2006

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Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)