A005101), perfect if sigma(n) = 2n (this entry), deficient if sigma(n) < 2n (cf. The smallest perfect cube is 1. Some numbers have special property of being a perfect cube and perfect number. Mersenne Primes and Perfect Numbers. OFFSET: 1,1; COMMENTS: A number n is abundant if sigma(n) > 2n (cf.
I'm happy even if you can come up with an algorithm. Each Mersenne prime corresponds to an even perfect number. Write a function which says whether a number is perfect. This section contains the first 100 perfect cubes. The perfect cube is the cube of any whole number. A perfect number is a positive integer that is the sum of its proper positive divisors excluding the number itself. Abundant, deficient and perfect number classifications You are encouraged to solve this task according to the task description, using any language you may know.
List of all known Mersenne prime numbers along with the discoverer's name, dates of discovery and the method used to prove its primality. List of Perfect Cubes for First 100 numbers.
It can also be termed simply as Perfect cube. A005100), where sigma(n) is the sum of the divisors of n (). 27, 64, 1000 are some of the perfect cubes. There are 48 known perfect numbers, the first four of which were discovered over 2,000 years ago. These define three classifications of positive integers based on their proper divisors. Perfect numbers You are encouraged to solve this task according to the task description, using any language you may know. Generate a list of Mersenne prime exponents. A Mersenne prime is a prime number of the form , where the Mersenne prime exponent is itself also a prime number. Write a program to display all perfect numbers between 1 - 100 Computer Language Choice: Whatever, doesn't matter. In[1]:=