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Advertisement: You can try everything Brilliant has to offer for free for 30 days here: https://brilliant.org/DorFuchs. There is also a 20% discount on an annual premium subscription via the link. The largest prime number known to mankind is 2^136279841-1 (found on October 21, 2024) and we take a closer look at the math behind it in this video. Corrections to the video: There are certainly formulas with which you can generate prime numbers of any size, but they are so inefficient in the calculation that you cannot use them to give concrete examples of prime numbers larger than 10^40,000,000. 24:51 In the middle of the formula for the Fibonacci numbers there must be a minus instead of a plus. T-shirts: http://www.DorFuchs.de/t-shirts/ (Here you can also find the shirt with the prime number motif that I wore in the video.) Facebook: / dorfuchs Instagram: / dor.fuchs Twitter: / dorfuchs YouTube: / dorfuchs Website: http://www.DorFuchs.de/ Playlist with all math songs: http://bit.ly/MatheSongs Spotify: http://bit.ly/DorFuchsSpotify iTunes: http://bit.ly/DorFuchsiTunes This video was produced and published for private, non-commercial use and can be used free of charge for private purposes without consultation or written permission. Please note, however, that the video may not be changed in terms of content or graphics. When using it, please always state the DorFuchs YouTube channel as the source. A license is required for commercial use and for use for educational purposes that require consent, such as public film screenings, public accessibility via educational servers, learning platforms or educational clouds, etc. Licenses are available from our sales partner http://www.filmsortiment.de. This video is suitable and intended for school teaching purposes and is therefore a protected work in accordance with §60a and §60b of the German Copyright Act.