How many generators are in a cyclic group?Cyclic Group:A group that is generated by a single element is known as a Cyclic group. If there is an element in that group, this means that we can write every other element of the group as the power of that element....
Find the sum of the numbers less than 200 which have 9 divisors? How many ways are there to choose 3 distinct numbers between 1 to 300 such that the sum of these 3 numbers is divisible by 3? When finding the multiples of numbers, do you multiply all numbers to get to that nu...
How many positive integers less than 1000 are divisible by 7 but not by 11? How many positive integers less than 1,000 are divisible by exactly one of 7 and 11? How many positive integers less than 1,000 are divisible by 7 or 11? How many positive integers less than 1,000 are divis...
The OpenSSL developers have built a benchmarking suite directly into theopensslbinary. It’s accessible via thespeedoption. It tests how many operations it can perform in a given time, rather than how long it takes to perform a given number of operations. This strikes me as quite sane, beca...
There are two sets of results. The first reports how many bytes per second can be processed for each algorithm, the second the times needed for sign/verify cycles. Here are the results on an 2.70GHz Intel Xeon E5. The'numbers'arein1000s of bytes per second processed. ...
When we codifying the rules for "The English name of a number", we were tempted to "improve" the system today. For example there are a number of aspects to the system that we do not like. The inconsistency of "do/du" (as in "do-dec-illion" and "ducen-tillion") and the "four...
Try the same thing for names of countries, or inventions, or whatever; there’s always lots of history to discuss. There are so many different directions to go. Here’s another one:graphics. Let’s make a3D sphere: It’s always fun for kids that they can make something like this in ...
Prove that if x and y are integers, the 4x + 10y \ne 11. Prove that there are infinitely many primes with remainder of 3 when divided by 4. What is the number of 5-digit numbers that can be formed by the digits 0, 1, 2, 3, 4, 5 that are divisible by 5? Show...