%I #29 Sep 08 2020 02:03:49

%S 6,10,12,14,15,18,21,22,24,26,28,33,35,36,39,48,52,56,65,72,88,91,99,

%T 117,144

%N A list of 25 distinct numbers such that the sum of their reciprocals is 1 and each number is of the form p^i*q^j where p and q are distinct primes.

%C At the time Burshtein's paper appeared, this was the smallest example known of this type (it may still be the smallest).

%C Incidentally, this was the 200000th sequence added to the OEIS.

%C For the smallest example (20 numbers) of this type, see A237051. - _Jon E. Schoenfield_, Feb 02 2014

%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. A201464, A201514, A201650.

%K nonn,fini,full

%O 1,1

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