Activity 1 – Least Common Multiple
... Eratosthenes, drains out composite numbers and leaves prime numbers behind. The online applet incorporates Eratosthenes’ sieve for positive integers through 200 and has incorporated features that also show multiples. This tool allows users to explore numeric patterns of prime and composite numbers. ...
... Eratosthenes, drains out composite numbers and leaves prime numbers behind. The online applet incorporates Eratosthenes’ sieve for positive integers through 200 and has incorporated features that also show multiples. This tool allows users to explore numeric patterns of prime and composite numbers. ...
A curious synopsis on the Goldbach conjecture, the friendly
... and the friendly numbers problem states that there are infinitely many friendly numbers. Pythagoras saw perfection in any integer that equaled the sum of all the other integers that divided evenly into it (see [2] or [10] or [17] or [18] or [19]). The first perfect number is 6. It’s evenly divisible ...
... and the friendly numbers problem states that there are infinitely many friendly numbers. Pythagoras saw perfection in any integer that equaled the sum of all the other integers that divided evenly into it (see [2] or [10] or [17] or [18] or [19]). The first perfect number is 6. It’s evenly divisible ...
Congruence Properties of the Function that Counts Compositions
... Encyclopedia [8]; one can find numerous references there. Congruence properties of b(n) modulo powers of 2 were first observed by R. F. Churchhouse [5] (the main congruence was given without a proof as a conjecture). This conjecture was later proved by H. Gupta [6] and independently by Ø. Rødseth [7 ...
... Encyclopedia [8]; one can find numerous references there. Congruence properties of b(n) modulo powers of 2 were first observed by R. F. Churchhouse [5] (the main congruence was given without a proof as a conjecture). This conjecture was later proved by H. Gupta [6] and independently by Ø. Rødseth [7 ...
6.042J Chapter 4: Number theory
... Number theory is the study of the integers. Why anyone would want to study the integers is not immediately obvious. First of all, what’s to know? There’s 0, there’s 1, 2, 3, and so on, and, oh yeah, -1, -2, . . . . Which one don’t you understand? Second, what practical value is there in it? The math ...
... Number theory is the study of the integers. Why anyone would want to study the integers is not immediately obvious. First of all, what’s to know? There’s 0, there’s 1, 2, 3, and so on, and, oh yeah, -1, -2, . . . . Which one don’t you understand? Second, what practical value is there in it? The math ...
Pretty Good Privacy - New Mexico State University
... Large prime numbers • Euclid: infinitely many prime numbers • Proof: given a list of prime numbers, multiply all of them together and add one. • Either the new number is prime or there is a smaller prime not in the list. ...
... Large prime numbers • Euclid: infinitely many prime numbers • Proof: given a list of prime numbers, multiply all of them together and add one. • Either the new number is prime or there is a smaller prime not in the list. ...
