1 citations · 3 across the 10 of their papers we have counts for
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Prime Divisors of 10's Friends: A Generalization of Prior Bounds
Sagar Mandal
10 is the smallest positive integer which is whether solitary or friendly is still an open question in mathematics. In this paper, we provide upper bounds for each of the prime div…
On Characterizing Potential Friends of 20
Tapas Chatterjee, Sagar Mandal, Sourav Mandal
Does have a friend? Or is it a solitary number? A folklore conjecture asserts that has no friends i.e. it is a solitary number. In this article, we prove that, a friend $…
Upper bounds for the prime divisors of friends of 10
Sourav Mandal, Sagar Mandal
In this paper we propose necessary upper bounds for the second, third and fourth smallest prime divisors of friends of 10 based on the number of distinct prime divisors of it.
A note on necessary conditions for a friend of 10
Tapas Chatterjee, Sagar Mandal, Sourav Mandal
Solitary numbers are shrouded with mystery. A folklore conjecture assert that 10 is a solitary number i.e. it has no friends. In this article, we establish that if is a friend…