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Introduction to Number TheoryFundamental principles of number theory, including primes and composites, divisors and multiples, divisibility, remainders, modular arithmetic, and number bases. |
12 weeks |
| 12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
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Wednesday
May 21 - Aug 6 |
7:30 - 9:00 PM ET
May 21 - Aug 6
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Maria Mendes |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
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STARTING SOON |
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Monday
Jun 9 - Aug 25 |
7:30 - 9:00 PM ET
Jun 9 - Aug 25
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Josh Zucker |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
STARTING SOON |
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Sunday
Jun 15 - Sep 14 |
7:30 - 9:00 PM ET
Jun 15 - Sep 14
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Luís Finotti |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Tuesday
Jul 15 - Sep 30 |
7:30 - 9:00 PM ET
Jul 15 - Sep 30
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Andrew Sayler |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
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Wednesday
Aug 13 - Oct 29 |
7:30 - 9:00 PM ET
Aug 13 - Oct 29
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Thomas Zhang |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Friday
Sep 12 - Dec 12 |
7:30 - 9:00 PM ET
Sep 12 - Dec 12
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Sindi Sabourin |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Sunday
Oct 26 - Feb 1 |
7:30 - 9:00 PM ET
Oct 26 - Feb 1
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Luís Finotti |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Monday
Dec 1 - Mar 2 |
7:30 - 9:00 PM ET
Dec 1 - Mar 2
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Aaron Doman |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
AoPS Holidays
There are no classes July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, December 20 ‐ January 2, and May 23 ‐ 25, 2026.
Who Should Take?
This course is appropriate for students in grades 6-9 who have mastered basic algebra up through solving linear equations and manipulating multi-variable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. Students who are already proficient with modular arithmetic and basic Diophantine equations do not need this course. This course is roughly the same difficulty as our Introduction to Counting and Probability class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.Lessons
| 1 | Integers, Fractions, Decimals, and Number Bases |
| 2 | Base Number Arithmetic |
| 3 | Multiples, Divisors, and Prime Numbers |
| 4 | Common Factors, Common Multiples, Euclidean Algorithm |
| 5 | Divisor Problems, More with the Euclidean Algorithm |
| 6 | Factorials, Special Integers, Algebra with Integers |
| 7 | Units Digit, Introduction to Modular Arithmetic |
| 8 | Calculations with Modular Arithmetic |
| 9 | Divisibility Rules and Multiplicative Inverses |
| 10 | Multiplicative Inverses, Solving Linear Congruences |
| 11 | Systems of Linear Congruences and the Chinese Remainder Theorem |
| 12 | Number Sense and Applications of Number Theory |
Required Textbook
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Introduction to Number Theory
A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
Related course: Introduction to Number Theory |
