PPT-In this presentation I will be explaining prime numbers, ho

Prime numbers and factors Prime numbers Prime numbers divide by themselves and one So 331or 13131 But 16 divides 161 and 82 and 44 So you see that prime numbers are very specific. Number Theory. Dr J Frost (jfrost@tiffin.kingston.sch.uk). www.drfrostmaths.com. Last modified: . 26. th. . November 2015. Objectives: . Have an appreciation of properties of integers (whole numbers), including finding the Lowest Common Multiple, Highest Common Factor, and using the prime factorisation of numbers for a variety of purposes. of . numbers. I. nvestigate the factors of the following numbers. Prime numbers are numbers that have exactly two different factors . ( no more / no less) They have 1 and themselves. No.. Factors. Prime. Mathematics. . Number Theory. By Megan Duke – Muskingum University. Review . Prime – a natural number great than 1 that has no positive divisors other than 1 and itself.. Quadruplet – a grouping of 4. Presented by Alex Atkins. What’s a Prime?. An integer p >= 2 is a prime if its only positive integer divisors are 1 and p. . Euclid proved that there are infinitely many primes. . The primary role of primes in number theory is stated in the Fundamental Theory of Arithmetic, which states that every integer n >= 2 is either a prime or can be expressed as a product of a primes.. Terra Alta/East Preston School. “Home of the Eagles”. Definition. . Product. – An answer to a multiplication problem.. . 7 x 8 = 56. Product. Definition. . Factor. – a number that is multiplied by another to give a product.. by Carol Edelstein. Definition. Product. – An answer to a multiplication problem.. . 7 x 8 = 56. Product. Definition. Factor. – a number that is multiplied by another to give a product.. . 7 x 8 = 56. Learning Goals. We will use our divisibility rules so that we can decompose numbers into prime factors.. We’ll know we understand when we can identify the prime factors that are used to form a number.. What’s a Prime Number?. Lots of definitions out there. My Favorite (recursive): . “an integer greater than 1, that is not divisible by any smaller primes”. Note: The above is equivalent to (but feels less restrictive than) the more standard: . This section contains proofs of two of the most famous theorems in mathematics: that is irrational and that there are infinitely many prime numbers. . Both proofs are examples of indirect arguments and were well known more than 2,000 years ago, but they remain exemplary models of mathematical argument to this day.. Daniel . FreemaN. , SLU. Old school codes. Full knowledge of the code is needed to both encrypt messages. and to decrypt messages.. The code can only be used between a small number of trusted people.. Oct. __. CONNECT - . Name_____ 6__ Lesson 4 – Prime and Composite Oct. __. CONNECT - . If you can only make 1 pair of factors with the number,. 1 and itself. , then the number is called a ____________. by Carol Edelstein. Definition. Product. – An answer to a multiplication problem.. . 7 x 8 = 56. Product. Definition. Factor. – a number that is multiplied by another to give a product.. . 7 x 8 = 56. Seth Futrell, Matthew Ritchie, . Dakota Perryman, Mark Thompson . (Tag’s Tots). Background History . Prime numbers have fascinated the human race for millennia with solutions to finding primes predating the times of euclid. Primes continue to amaze mathematicians and theoretical thinkers daily. Research of these fascinating numbers continues in present day with the continuing growth of the field of number theory and encryption protocols .. This is just an attempt to associate sums or differences of prime numbers with points lying on an ellipse or hyperbola.
Certain pairs of prime numbers can be represented as radius-distances from the focuses to points lying either on the ellipse or on the hyperbola.
The ellipse equation can be written in the following form: |p(k)| + |p(t)| = 2n.
The hyperbola equation can be written in the following form: ||p(k)| - |p(t)|| = 2n.
Here p(k) and p(t) are prime numbers (p(1) = 2, p(2) = 3, p(3) = 5, p(4) = 7,...),
k and t are indices of prime numbers,
2n is a given even number,
k, t, n ∈ N.
If we construct ellipses and hyperbolas based on the above, we get the following:
1) there are only 5 non-intersecting curves (for 2n=4; 2n=6; 2n=8; 2n=10; 2n=16). The remaining ellipses have intersection points.
2) there is only 1 non-intersecting hyperbola (for 2n=2) and 1 non-intersecting vertical line. The remaining hyperbolas have intersection points.
Will there be any new thoughts, ideas about this?