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A201514 A list of 52 distinct numbers such that the sum of their reciprocals is 1 and each number is of the form p*q where p and q are distinct primes. 3

%I #18 Sep 08 2020 02:04:45

%S 6,10,14,15,21,22,26,33,34,35,38,39,46,51,55,57,58,62,65,69,77,82,87,

%T 91,93,95,106,119,122,123,133,155,159,161,183,187,202,203,213,265,287,

%U 299,319,355,453,497,505,583,671,1057,1313,1963

%N A list of 52 distinct numbers such that the sum of their reciprocals is 1 and each number is of the form p*q where p and q are distinct primes.

%C This appears to be the smallest example known of this type.

%C Note that it has the property that no number divides another.

%H N. Burshtein, <a href="http://nntdm.net/volume-16-2010/number-2/01-04/">An improved solution of Sum_{i=1..k} 1/x_i = 1 ...</a>, NNTDM 16 (2010), 2, 1-4.

%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>

%Y See A201464 for the previous record. Cf A201463, A201650.

%K nonn,fini,full

%O 1,1

%A _N. J. A. Sloane_, Dec 02 2011

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Last modified July 4 03:27 EDT 2024. Contains 373986 sequences. (Running on oeis4.)