A294171 - OEIS

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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).

0

15, 21, 22, 33, 35

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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