- What is the remainder when 2^1000 is divided by 997?
- Determine the last digit of 1^1 + 2^2 + 3^3 + … + 2009^2009.

## Archive for September, 2013

## September 28, 2013 – Dr. Branislav Kisačanin – Did the NSA Really Break the RSA Code?

Posted in math circles, meeting, tagged Dr. Branislav Kisačanin, Euler's Theorem, Fermat's Little Theorem, NSA, RSA on September 23, 2013| Leave a Comment »

## Why Math on a Saturday Afternoon? — Solutions

Posted in Competitions, tagged Algebra, math circle, solutions, Titu Andreescu on September 22, 2013| Leave a Comment »

Dr. Andreescu has provided the solutions to the problems from the most recent math circle: A_Medley_of_Algebra_Problems_Handout.

## AwesomeMath Resource Spotlight

Posted in Competitions, tagged AIME, AMC 10, AMC 12, AMC 8, IMO, Purple Comet, Putnam, USAMO, USAMTS on September 21, 2013| Leave a Comment »

The AwesomeMath newsletter, The Gold Standard has published a series of important dates and useful resources:

Starting with the first round of USAMTS (USA Mathematial Talent Search) due on October 15 and culminating with the IMO (International Mathematics Olympiad) in July, 2014, the season of math competitions is right around the corner. Are you prepared? Do you have the resources to help you excel? With over 30 years of experience teaching, coaching, and mentoring the brightest mathematical minds of our age, Dr. Andreescu’s books are essential for every math enthusiast’s library. Here are just a few highlights from his distinguished career:

- Authored, co-authored, and edited more than 40 math books and publications
- Head coach and leader of the USA International Mathematical Olympiad (IMO) for 8 years
- Director of the Mathematical Association of American (MAA) American Mathematics Competitions for 5 years
- Has contributed hundreds of problems to various math competitions including up to and including the IMO
- Co-founder of the Purple Comet
*!*Math Meet, the first international team based math competition - Founder and Director of AwesomeMath, an organization that provides enriching experiences in mathematics to intellectually curious learners

Following is a chart of important dates and resources which will enrich the mathlete’s competition experience:

Date |
Competition |
Resource |

October 15, 2013Round 1 |
USAMTS | Mathematical Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes |

November 18, 2013Round 2 |
USAMTS | Mathematical Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes |

November 19, 2013 | AMC 8 | Purple Comet! Math Meet: All Ten Years, 105 Algebra Problems |

December 7, 2013 | Putnam | Problems from the Book, Straight from the Book, Putnam and Beyond |

January 6, 2014Round 3 |
USAMTS | Mathematical Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes |

10A: February 4, 2014 10B: February 19, 2014 |
AMC 10 | 105 Algebra Problems, 106 Geometry Problems, 107 Geometry Problems,108 Algebra Problems (coming soon) |

12A: February 4, 2014 12B: February 19, 2014 |
AMC 12 | Mathematical Reflections – all volumes, 105 Algebra Problems, 106 Geometry Problems, 107 Geometry Problems,108 Algebra Problems (coming soon) |

AIME I: March 13, 2014 AIME II: March 26, 2014 |
AIME | Purple Comet! Math Meet: All TenYears, Mathematical Reflections – all volumes |

April 1-10, 2014 | Purple Comet! Math Meet |
Purple Comet! Math Meet: All Ten Years |

April 29-30, 2014 | USAMO | Problems from the Book, Straight from the Book, Topics in Functional Equations, Math Olympiad Challenges, Math Olympiad Treasures |

July 2014 | IMO (South Africa) | Math Olympiad Challenges, Mathematical Olympiad Treasures, Mathematical Reflections – all volumes |

## September 21, 2013 – Dr. Titu Andreescu – “Why Math on a Saturday Afternoon?”

Posted in math circle, meeting, tagged Titu Andreescu on September 20, 2013| Leave a Comment »

## September 14, 2014 – Pólya-Burnside Enumeration in Combinatorics — Adithya Ganesh

Posted in math circle, tagged Adithya Ganesh, Burnside's lemma, combinatorics, math circle, Pólya-Burnside Enumeration, symmetry on September 5, 2013| Leave a Comment »

We are pleased to announce that the first topic of our 2013-2014 Metroplex Math Circle will be** Pólya-Burnside Enumeration in Combinatorics**, presented by our own **Adithya Ganesh** on September 14, 2013.

*Burnside’s lemma from group theory has a broad scope of application in combinatorial enumeration problems. Pólya’s enumeration theorem, which generalizes Burnside’s lemma using generating functions, provides a remarkable framework to easily solve counting problems in which we want to regard two entities as equivalent under some symmetry.*