The Oldest Unsolved Problem in Math | Veritasium

Do odd perfect numbers exist? These sources were particularly helpful: Perfect numbers via MacTutor - Cai, T. (2022). Perfect numbers and fibonacci sequences. World Scientific. - Dunham, W. (2022). Euler: The master of us all (Vol. 22). American Mathematical Society. - ▀▀▀ References: Dickson, L. E. (1919). History of the Theory of Numbers.. (Vol. 1). Carnegie Institution of Washington. Knill, O. (2007). The oldest open problem in mathematics. NEU Math Circle, December2. - Perfect number via Wikipedia - Introduction to Arithmetic via HalthiTrust - Nicomachus of Gerasa via MacTutor - Sonja, B. (1988). The First Perfect Numbers and Three Types of Amicable Numbers in a Manuscript on Elementary Number Theory by Ibn Fellûs. Erdem, c. IV, 11. - Ibn Fallus via Wikipedia - Mersenne prime via Wikipedia - List of Known Mersenne Prime Numbers - Marin Mersenne via MacTutor - Leonhard Euler via Wikipedia - Frank Nelson Cole via Wikipedia - GIMPS History via - EFF Cooperative Computing Awards via EFF - Jonathan Pace via Primewiki - Book with just one number sells out in Japan via BastillePost - Predicted distribution of Mersenne primes via John D. Cook - Euler’s Odd Perfect Numbers Theorem via Cantor’s Paradise - A Perfect (Math) Mystery via Medium - Brent, R. P., Cohen, G. L., & te Riele, H. J. (1991). Improved techniques for lower bounds for odd perfect numbers. Mathematics of Computation, 57(196), 857-868. - Ochem, P., & Rao, M. (2012). Odd perfect numbers are greater than 10¹⁵⁰⁰. Mathematics of Computation, 81(279), 1869-1877. - Mathematicians Open a New Front on an Ancient Number Problem via Quantamagazine - Descartes number via Wikipedia - Andersen, N., Durham, S., Griffin, M. J., Hales, J., Jenkins, P., Keck, R., ... & Wu, D. (2022). Odd, spoof perfect factorizations. Journal of Number Theory, 234, 31-47. - Pomerance’s Heuristic that Odd Perfect Numbers are Unlikely via -