There is a prime number that is the sum of the first 17 powers of 2
The number 2^18 - 2^17 - 2^16 - ... - 2^1 - 2^0 is a prime number, specifically 524,287. This was discovered by the French mathematician Pierre Émile Bézout in 1797. Bézout was a prominent mathematician of his time, and his work on Diophantine equations is still studied today. This prime number has no known applications, but its discovery showcases the complexity and beauty of prime numbers.