A294171 Positive integers k such that there exists a sequence of k consecutive natural numbers m - k + 1, m - k + 2, ..., m with m >= 2*k such that none of the numbers of the sequence is a divisor of binomial(m, k).

15, 21, 22, 33, 35

Offset

1,1

References

R. K. Guy, Unsolved Problems in Number Theory, Springer, 2013, p. 137.

W. Sierpiński, Teoria liczb, cz. II, PWN, Warsaw, 1959, pp. 47-48.

Links

Table of n, a(n) for n=1..5.

A. Schinzel, Sur un problème de P. Erdos, Colloquium Mathematicum 5 (1958), pp. 198-204.

Crossrefs

Sequence in context: A166645 A033708 A343821 * A373575 A306102 A177024

Adjacent sequences: A294168 A294169 A294170 * A294172 A294173 A294174

Keyword

nonn,more

Author

Arkadiusz Wesolowski, Feb 10 2018

Status

approved