MathDB
2021 Team P13

Source:

March 2, 2021
number theory

Problem Statement

Let p=3⋅1010+1p=3\cdot 10^{10}+1 be a prime and let pnp_n denote the probability that p∣(kk−1)p\mid (k^k-1) for a random kk chosen uniformly from {1,2,⋯ ,n}\{1,2,\cdots,n\}. Given that pn⋅pp_n\cdot p converges to a value LL as nn goes to infinity, what is LL?
Proposed by Vijay Srinivasan
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