As of 2021, the longest known Prime number is 2^82,589,933 − 1, a number with 24,862,048 digits. This prime number was discovered on December 7, 2018, by the Great internet Mersenne Prime Search (GIMPS) project. Prime numbers are numbers greater than 1 that can only be divided by 1 and themselves, making them a fundamental concept in number theory and cryptography.
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On Jan. 25, 2013, the largest known prime number, 257,885,161-1, was discovered on Great Internet Mersenne Prime Search (GIMPS) volunteer Curtis Cooper's computer. The new prime number, 2 multiplied by itself 57,885,161 times, less one, has 17,425,170 digits.
The largest known prime number is 17,425,170, although technically, there is no largest possible prime number. To this day, mathematicians are still searching for higher prime numbers.
The prime factorization.
When all the factors are prime.
As of August 2017, the largest known prime number is 2^74,207,281 − 1, a number with 22,338,618digits.
As of August 2017, the largest known prime number is 2^74,207,281 − 1, a number with 22,338,618digits.I attached a link with the 100 largest known prime numbers, there you can see the number of digits.