1. The problem is to find the first 500 digits of the number pi ($\pi$). 2. Pi is an irrational number, meaning it has an infinite number of non-repeating decimal digits. 3. The value of $\pi$ starts as $3.1415926535...$ and continues infinitely. 4. To get 500 digits, we list the digits after the decimal point up to the 500th digit. 5. Here are the first 500 digits of $\pi$ after the decimal point: 31415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964 42881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372 45370066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949