A346605 The third of four solutions to a Monthly problem asking if there exist finite sequences 1 < a(1) < a(2) < ... < a(n) such that Sum_i 1/a(i) = 1 and gcd(a(i), a(i+1)) = 1 for 1 <= i < n.

2, 3, 11, 23, 43, 127, 1771, 1807, 32131, 3263442

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Daniel Ullman, Proposer, Problem E3359, Amer. Math. Monthly, 98:2 (1991), 168.

Index entries for sequences related to Egyptian fractions

Crossrefs

Cf. A346603, A346604, A346606.

Sequence in context: A040124 A082739 A158017 * A091310 A040994 A141123

Adjacent sequences: A346602 A346603 A346604 * A346606 A346607 A346608

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 06 2021

Status

approved