Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

N. Saradha
Affiliation:

Tata Inst./MPI
Date:

Wed, 06/10/2010 - 14:15 - 15:15 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/246