Perfect Numbers Math Ia

When the third person enters the room the probability of that person not having the same birthday as the previous two people is simply total number of possible days minus 2.

Perfect numbers math ia. Euclid over two thousand years ago showed that all even perfect numbers can be represented by n 2p 1 2p 1 where p is a prime for which 2p 1 is a mersenne prime. Find out if 496 is a perfect number. The first four perfect numbers were the only ones known to early greek mathematics and the mathematician nicomachus noted 8128 as early as around ad 100. In modern language nicomachus states without proof that every perfect number is of the form where is prime.

You can set your address phone number email and site description in the settings tab. In about 300 bc euclid showed that if 2 p 1 is prime then 2 p 1 2 p 1 is perfect. The proper factors of 496 are 1 2 4 8 16 31 62 124 and 248. Illustration of the perfect number status of the number 6.

Math ia final copy. In number theory a perfect number is a positive integer that is equal to the sum of its positive divisors excluding the number itself. Ib example 1 new ia ib example 2 new ia ib example 3 new ia ib example 4 new ia ib example 5 new ia ib example 6 new ia ib example 7 new ia ib example 8 new ia. Page days minus 1.

Now simply multiply these numbers to find the probability. Therefore 18 is not perfect. 123 street avenue city town 99999 123 555 6789. 1 2 3 6 9 6 6 9 12 9 21.

Hulk and paulinho are relaxing after another stylish win. A perfect number n is a positive integer which is equal to the sum of its factors excluding n itself. If the sum of the factors is equal to 18 then 18 is a perfect number. In today s video i review a really helpful sl ia math book which you can find linked below.

I ve been using this book to write my ia and it s been.