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A201464 A list of 63 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 #17 Sep 08 2020 02:04:34

%S 6,10,14,15,21,22,26,33,34,35,38,39,46,51,55,57,58,62,65,69,82,91,93,

%T 95,106,118,119,122,123,133,145,155,159,161,183,187,202,213,265,287,

%U 295,299,319,355,393,413,453,497,505,583,671,835,917,1057,1169,1313,1438,1441,1837,1963,3595,5033,7909

%N A list of 63 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 At the time Burshtein's paper appeared, this was the smallest example known of this type. See A201514 for an even smaller example.

%D E. J. Barbeau, Expressing one as a sum of distinct reciprocals: comments and a bibliography, Eureka (Ottawa), 3 (1977), 178-181.

%H N. Burshtein, <a href="https://doi.org/10.1016/j.disc.2005.09.017">Improving solutions of Sum_{i=1..k} 1/x_i = 1 ...</a>, Discrete Math., 306 (2006), 1438-1439.

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

%Y Cf. A201463, A201514, A201650.

%K nonn,fini,full

%O 1,1

%A _N. J. A. Sloane_, Dec 01 2011

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Last modified August 27 07:50 EDT 2024. Contains 375462 sequences. (Running on oeis4.)