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.

6, 10, 14, 15, 21, 22, 26, 33, 34, 35, 38, 39, 46, 51, 55, 57, 58, 62, 65, 69, 77, 82, 87, 91, 93, 95, 106, 119, 122, 123, 133, 155, 159, 161, 183, 187, 202, 203, 213, 265, 287, 299, 319, 355, 453, 497, 505, 583, 671, 1057, 1313, 1963

Offset

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..52.

N. Burshtein, An improved solution of Sum_{i=1..k} 1/x_i = 1 ..., NNTDM 16 (2010), 2, 1-4.

Index entries for sequences related to Egyptian fractions

Crossrefs

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

Sequence in context: A030229 A334342 A201650 * A201464 A162730 A180074

Adjacent sequences: A201511 A201512 A201513 * A201515 A201516 A201517

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Dec 02 2011

Status

approved