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Tsangaris, P. G., Prime numbers and cyclotomy

10 P. G. Tsangaris [5] HACKS, J., Über Einige für Primzahlen Charakteristische Beziehungen, Acta Math. 17 (1893), 205-208. [6] KNOPFMACHER

, J., Recursive Formulae for Prime Numbers, Arch. Math. 33 (1979), 144-149. [7] TSANGARIS, P. G., New (recursive) Formula for the nth Prime, J. Elefteria 4B (1986), 231-233. [8] TSANGARIS, P. G., JONES, J. P., An Old Theorem on the G.C.D. and its Application to Primes, The Fibonacci Quart. 30 (1992), 194-198. [9] TSANGARIS, P. G., Prime Numbers and Cyclotomy-Primes of the form x

2 + (x + l)

2, PhD Thesis, Athens University, Athens, 1984 (in Greek). [10] VOLOSIN, Yu. I. On the Integral part of a Rational Number, Latvijas Valsts Univ. Zinath. Raksti 28 (1959), 95-98. Panayiotis G. Tsangaris Department of Mathematics Athens University Panepistimiopolis, 15784 Athens Greece E-mail: ptsagari@cc.uoa.gr