Number Sense
When two integers have a GCD of 1
What is coprime?
67, 106, and 275 modulo 13
What is 2?
The formal notion of size of an object
What is norm?
For a rational x=a/b, the highest power of p which divides a minus the highest power of p which divides b
What is p-adic order?
The room number this class is in
What is Proctor West 204?
The method for computing the GCD of any pair of integers
What is the Euclidean algorithm?
The set {0,1,...,n-1}
What is Zn?
An ordered list of numbers such that terms very far in the list are very close to each other
What is a Cauchy sequence?
Formal notion of size that takes on the values {0, 1, 1/7, 7, 1/49, 49, …}
What is 7-adic norm?
The three pillars of pure math
What are analysis, algebra, and topology?
The prime factorization of 15015
What is 3 x 5 x 7 x 11 x 13?
An element of Zn that has a multiplicative inverse
What is a unit?
The completion of Q with respect to Euclidean absolute value
What are real numbers?
The completion of Q with respect to the p-adic norm
What are p-adic numbers?
The title of this class
What is Prime Number Playground?
1 3 6 10 15 21 28 36 ...
What are triangular numbers?
The requirement for a in Zn to have a unit
What is a and n are coprime?
The third property of a metric: d(x,y) < d(x,z) + d(z,y)
What is the triangle inequality?
67-adic norm of 6767
What is 1/67?
Not a prime!!!
What is 2?
Numbers such that the sum of their divisors is the number itself
What are perfect numbers?
The domain of a binary operation on a set G
What is G x G?
A distance on R2 where travel is restricted to left/right and up/down motion
What is the taxicab metric?
The canonical expansion of -1 in Q3
What is ...22222?
Chloe's favorite celcius flavor
What is peach vibe?