You all know what a trivia is right? Just add mathematics to it and it will explain a lot about this Math Trivia section of ours Mathematics is a nightmare for so many people and thus we won't suggest this section to all of our readers and only to the mathematics lovers. But if you just want to give it a try, you can. Who knows you might actually like these Math Trivias.
7 is the only prime followed by a cube.
Assume that n3-1 is a prime for some n.
N3-1 will be equal to (n−1)(n2+n+1)
Now, n-1 divides n3-1.
If n-1>1, then we will have a contradiction to n3-1 being a prime.
Many people would think Friday the 13th will be an unlucky day. Is it possible that there is no Friday on 13th through the whole year? How many Fridays at 13th can we have in a year at most? Can you calculate it out?
We can calculate out how many days there will be for the 13th on each month if we count from the beginning of the year (January 1). Then we divide total days by 7 to get the remainders. We also need to consider the leap year. Through the whole year we had all kinds of remainders, from 0 to 6. The minimum of occurence for all the unique remainders was 1. It means that we have at least one Friday on 13th. In a regular year, the best chance you can get 3 Fridays on 13th, which are in February, March and December because the remainders of these 3 months are 2. In a leap year, the best chance you also can get 3 Fridays on 13th, which are in January, April and July because the remainders of these 3 months are 6.
When deepak was six years old he hammered a nail into his favorite tree to mark his height.
Five years later at age eleven , deepak returned to see how much higher the nail was.
If the tree grew by ten inches each year, how much higher would the nail be?