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The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.
The fourth Smarandache-Wellin prime is the 355-digit concatenation of the first 128 primes that end with 719. ... "New Largest Known Prime Number". Numberphile.
The largest known prime number is 2 136,279,841 − 1, a number which has 41,024,320 digits when written in the decimal system. It was found on October 12, 2024, on a cloud-based virtual machine volunteered by Luke Durant, a 36-year-old researcher from San Jose, California, to the Great Internet Mersenne Prime Search (GIMPS).
Visualization of 6 as a perfect number Logarithmic graph of the number of digits of the largest known prime number by year, nearly all of which have been Mersenne primes. Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory.
998,991 = largest triangular number with 6 digits and the 1413th triangular number; 999,983 = largest 6-digit prime number; 999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, and ...
Jon Pace, a flight operations finance manager, is credited with discovering the largest prime number currently known. It’s 23.2 million digits long.
61 is a unique prime in base 14, since no other prime has a 6-digit period in base 14, and palindromic in bases 6 ... were prime. [12] 61 is the largest prime number ...
Consequently, a prime number divides at most one prime-exponent Mersenne number. [25] That is, the set of pernicious Mersenne numbers is pairwise coprime. If p and 2 p + 1 are both prime (meaning that p is a Sophie Germain prime ), and p is congruent to 3 (mod 4) , then 2 p + 1 divides 2 p − 1 .