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A proof of a conjecture of Erdős. (English) Zbl 0186.07902


Keywords:

number theory
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[1] Pál Erdős, Remarks on number theory. IV. Extremal problems in number theory. I, Mat. Lapok 13 (1962), 228 – 255 (Hungarian, with Russian and English summaries). · Zbl 0127.02202
[2] P. Erdös, Problems 29 and 30, Proc. No. Th. Conference, Boulder, Colorado, 1963, p. 96.
[3] P. Erdős, Extremal problems in number theory, Proc. Sympos. Pure Math., Vol. VIII, Amer. Math. Soc., Providence, R.I., 1965, pp. 181 – 189.
[4] J. Selfridge, On congruences covering consecutive integers, Acta Arith. (to appear).
[5] Sherman K. Stein, Unions of arithmetic sequences, Math. Ann. 134 (1958), 289 – 294. · Zbl 0084.04302 · doi:10.1007/BF01343822
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