Geodesic
On Numbers which are Orders of Nilpotent Groups Only
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 121-124

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In [T. W. Müller, An arithmetic theorem related to groups of bounded nilpotency class, J. Algebra 300 (2006), 10-15] T. W. Müller characterizes the positive integers n satisfying the property that every group of order n is nilpotent of class bounded by a fixed positive integer c. In this article a different proof of the above result will be given. 
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     title = {On {Numbers} which are {Orders} of {Nilpotent} {Groups} {Only}},
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Russo, Alessio. On Numbers which are Orders of Nilpotent Groups Only. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 121-124. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a6/