Hello and welcome everybody to the, uh, GE Research Distinguished Speaker Symposium on prime numbers and cryptography. I'm, uh, really excited to be up here today introducing our first distinguished speaker and one of the real unsung pioneers of modern cryptography. It is with great pleasure that I ask you all to join with me in welcoming to the stage Dr. Clifftops. It has undergone a massive change in my lifetime. When I started 50 years ago, it was something that was done in earnest, basically only by governments, and now you use cryptography. Every time you communicate on the internet, you make a purchase on the internet. It is basically something that you use many times every day. It's everywhere. A second speaker is, of course, probably best known to people in this room as the winner of the fields medal in, in 2022. Essentially, the highest honor in mathematics. So please welcome James Maynard. Thank you very much. There's a film Which says that every whole number can be written uniquely as a product of prime numbers, and this means that prime numbers are somehow the ATMs of rhythm tick and therefore lots of complicated problems to do with. Whole numbers can be broken down into simpler problems involving just trying them For the rest of the evening. We are all meant to relocate upstairs. This space actually has, uh, these amazing video screens. So what we've tried to do is actually have some mathematical animations that the riff a little bit on our logo and a little bit on maths, that, that may or may not have something to do with the topic of tonight. They're absolutely mind blowing and awesome, so please, please do check them out if you haven't already.