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.

6, 10, 14, 15, 21, 22, 26, 33, 34, 35, 38, 39, 46, 51, 55, 57, 58, 62, 65, 69, 82, 91, 93, 95, 106, 118, 119, 122, 123, 133, 145, 155, 159, 161, 183, 187, 202, 213, 265, 287, 295, 299, 319, 355, 393, 413, 453, 497, 505, 583, 671, 835, 917, 1057, 1169, 1313, 1438, 1441, 1837, 1963, 3595, 5033, 7909

Offset

1,1

Comments

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

References

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

Links

Table of n, a(n) for n=1..63.

N. Burshtein, Improving solutions of Sum_{i=1..k} 1/x_i = 1 ..., Discrete Math., 306 (2006), 1438-1439.

Index entries for sequences related to Egyptian fractions

Crossrefs

Cf. A201463, A201514, A201650.

Sequence in context: A334342 A201650 A201514 * A162730 A180074 A338905

Adjacent sequences: A201461 A201462 A201463 * A201465 A201466 A201467

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Dec 01 2011

Status

approved