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On a conjecture of Pomerance and the role of Jacobsthal function

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N. Saradha
Tata Inst./MPI
Mit, 06/10/2010 - 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In 1980, Pomerance conjectured that if $k$ is a positive integer such that the first $\phi(k)$ primes co-prime to $k$ form a reduced residue system mod$k$, then $k \leq 30.$ This conjecture is still open. We shall discuss some old and new results towards this conjecture and how the Jacobsthal function plays an important role in this problem.

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