Download presentation

Presentation is loading. Please wait.

Published byElvin Payne Modified over 2 years ago

1
Prime Numbers – True/False

4
3. There are infinitely many primes. True We can prove this by assuming there aren’t: Multiply all the primes together, then add 1. This number is one more than a multiple of any of them, so it doesn’t divide by any of the primes. Since any number either divides by other primes or is itself prime, this must be a new prime. But we used all of them: Contradiction!

5
Prime Numbers – True/False 4. There are infinitely many twin primes. Unknown Twin primes are primes 2 apart. It is conjectured that this is true (and even that there are an infinite number of primes 4 apart, 6 apart, 8 apart, etc) but not yet proven.

6
Prime Numbers – True/False

7
6. Any integer greater than 2 can be written as the sum of two primes. Unknown Known as Goldbach’s Conjecture, we suspect this to be true (no counter-examples have been found), but it is still unproven.

8
Prime Numbers – True/False

9
8. $100,000 was offered to factorise a 309 digit number. True RSA encryption is based on the difficulty of factorising large numbers. Two large primes are multiplied together to produce a ‘Public Key’, meaning anyone can encrypt data to send to you, but only you - the person who generated the public key - can decrypt it. The only known way to break the code is to factor the public key.

Similar presentations

OK

Quit Pierre de Fermat Fermat’s Last Conjecture Prime Numbers Euler’s Conjecture.

Quit Pierre de Fermat Fermat’s Last Conjecture Prime Numbers Euler’s Conjecture.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on limits and continuity problems Ppt on weapons of mass destruction song Ppt on dressing etiquettes meaning Ppt on working of stock exchange in india Download ppt on global warming in hindi Ppt on network theory definition Ppt on mohandas karamchand gandhi indians Ppt on working of human eye and defects of vision and their correction Ppt on electricity from wastewater Ppt on diode family tree