Geodesic
Prime counting function π
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 5 (2013) no. 1, pp. 71-76

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The aim of this paper is to derive new explicit formulas for thefunction π, where π(x) denotes the number of primes not exceeding x. Some justifications and generalisations of the formulas obtained by Willans (1964),Minac (1991) and Kaddoura and Abdul-Nabi (2012) are also obtained.
Mots-clés : prime number, prime counting function, congruence 
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Górowski, Jan; Łomnicki, Adam. Prime counting function π. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 5 (2013) no. 1, pp. 71-76. http://geodesic.mathdoc.fr/item/AUPCDM_2013_5_1_a4/