A few days ago we made use of *Bézout’s Identity*, which states that if and have a greatest common divisor , then there exist integers and such that . 308 more words

## Tags » Primes

#### MaBloWriMo 24: Bezout’s identity

#### MaBloWriMo 23: contradiction!

So, where are we? We assumed that is divisible by , but is *not* prime. We picked a divisor of and used it to define a group , and… 320 more words

#### 3 easy JBMO problems to do on a plane

I had 13 hours and 25 minutes of free time on the plane. Aside from playing pool on the mini TV-screen (90% of time), I actually did some math (10% of time). 191 more words

#### MaBloWriMo 22: the order of omega, part II

Yesterday, from the assumption that is divisible by , we deduced the equations

and

which hold in the group . So what do these tell us about the order of ? 196 more words

#### Not all triggers are bad.

By David Joel Miller.

# Sometimes you need to get triggered.

The concept of “triggers,” things that you might see, hear, feel or do that could set off a change in thinking, feeling and behavior is an established part of the way of thinking in the recovery field. 963 more words

#### MaBloWriMo 21: the order of omega, part I

Now we’re going to figure out the order of in the group .

Remember that we started by assuming that passed the Lucas-Lehmer test, that is, that is divisible by . 300 more words

#### MaBloWriMo 20: the group X star

So, where are we? Recall that we are assuming (in order to get a contradiction) that is not prime, and we picked a smallish divisor (“smallish” meaning ). 134 more words