One of the attractions of West Coast Number Theory are the *problem sessions*. The sessions are freeform. If you have a question, ask it. If you have an answer to a previous question, give it. Questions and answers are bundled up and distributed prior to the next conference.

Here are PDF’s of the problems sets from previous meetings.

- 2016 Pacific Grove
- 2015 Pacific Grove
- 2014 Pacific Grove
- 2013 Asilomar
- 2012 Asilomar
- 2011 Asilomar
- 2010 Orem, Utah
- 2009 Asilomar
- 2008 Fort Collins, Colorado
- 2007 Asilomar
- 2006 Ensenada
- 2005 Asilomar
- 2004 Las Vegas
- 2003 Asilomar
- 2002 San Francisco
- 2001 Asilomar
- 2000 San Diego
- 1999 Asilomar
- 1998 San Francisco
- 1997 Asilomar
- 1996 Las Vegas
- 1995 Asilomar

In 2012 West Coast Number Theory Conference problem sets, in problem 012.11, Mits Kobayashi [1] proposed the following unsolved problem:

For the divisor function σ, Is there any other solution to:

σ(pe) = σ(qf )

where p, q are distinct primes and e and f are integers greater than 1, other than σ(24) = σ(52)?

In this paper I give the answer ”no” assumming f = 2.

The case f = 2 is already covered by the Maohua Le paper mentioned in the remarks on 012:11.

I actually solved problem 0-16-13 and the answer is gcd(alpha, gamma) = [gcd(a, c)]^n.

Syrous Marivani

Sorry, the correct answer is gcd(alpha, gamma) =[gcd(a, bc)]^n.

I also solved Problem 015-13. The answer is yes. There are infinitely many integers n such that n, n + 1, n + 2, n + 3, n + 4, and n + 5 are sums of two squares.