On Abundant-Like Numbers
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 599-602

Voir la notice de l'article provenant de la source Cambridge University Press

Problem 188, [3], stated: Apart from finitely many primes p show that if np is the smallest abundant number for which p is the smallest prime divisor of np then np is not squarefree.
On Abundant-Like Numbers. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 599-602. doi: 10.4153/CMB-1974-108-5
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[1] 1. Ramanujan, Srinivasa, Highly composite numbers, Collected papers Cambridge Univ. Press and Chelsea Publishing Company 78-128. See also L. Alaoglu and P. Erdös, On highly composite and similar numbers, Trans. Amer. Math. Soc. 56 (1944), 448-469 and J. L. Nicolas, Su Vordre maximum d'un ?l?ment dans le groupe Sn des permutations, Acta Arithmetica 14 (1968), 315-332. Google Scholar

[2] 2. Rosser, J.B. and Schoenfeld, L., Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. Google Scholar

[3] 3. Problem 188, Canad. Math. Bull. Vol. 14 (4), 1971. Google Scholar

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