A Mersenne prime is a prime number of the form , where the Mersenne prime exponent is itself also a prime number. A005100), where sigma(n) is the sum of the divisors of n ().

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

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