A201463 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.

6, 10, 12, 14, 15, 18, 21, 22, 24, 26, 28, 33, 35, 36, 39, 48, 52, 56, 65, 72, 88, 91, 99, 117, 144

Offset

1,1

Comments

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

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

For the smallest example (20 numbers) of this type, see A237051. - Jon E. Schoenfield, Feb 02 2014

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..25.

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. A201464, A201514, A201650.

Sequence in context: A069059 A273157 A139587 * A119313 A362980 A097318

Adjacent sequences: A201460 A201461 A201462 * A201464 A201465 A201466

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Dec 01 2011

Status

approved