largest known prime number - EAS

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  1. Largest known prime number - Wikipedia

    https://en.wikipedia.org/wiki/Largest_known_prime_number

    47 hàng · The largest known prime number (as of January 2022) is 2 82,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.

    • Thời gian đọc ước tính: 6 phút
      NUMBERDECIMAL EXPANSION (ONLY FOR NUMBERS < M1000)DIGITSYEAR FOUND
      M138,19141456
      M17131,0716-113956
      M19524,2876-113956
      -6,700,4177-61361
      M312,147,483,64710-46751
      -999,999,000,00112-17897
      -67,280,421,310,72114-16436
      M127170,141,183,460,469,231,731,687,303,715,884,105,72739-8766
      Xem tất cả 46 dòng trên en.wikipedia.org
    • Largest known prime number | Guinness World Records

      https://www.guinnessworldrecords.com/world-records/...

      The new prime number, known as M77232917, was found by calculating the result of 2 to the power of 77,232,917 and then subtracting 1. At nearly one million digits larger than the previous record prime number, this new prime number sits in a special class of extremely rare numbers known as Mersenne primes.

    • The Largest Known Primes (database sumary)

      https://primes.utm.edu/largest.html
      • The largest known prime has almost always been a Mersenne prime. Why Mersennes? Because the way the largest numbers N are proven prime is based on the factorizations of either N+1 or N-1. For Mersennes the factorization of N+1 is as trivial as possible--a power of two! The Great Internet Mersenne Prime Search (GIMPS) was launched by George Woltman in early 1996, and h…
      Xem thêm trên primes.utm.edu
    • The Largest Known Prime Number | Prime Numbers Wiki | Fandom

      https://prime-numbers.fandom.com/wiki/The_Largest_Known_Prime_Number
      • The first mention of prime numbers was by Pythagoras. In October 2013, a new prime number was found. It is 257,885,161 − 1 (also approximately written as 5.818872662322464421751002121132323686363708 × 1017,425,169 in scientific notation) having a whooping 17,425,170 digits! This beats the old 2008 record of the Largest known prim…
      Xem thêm trên prime-numbers.fandom.com · Văn bản trong giấy phép CC-BY-SA
    • The Biggest Known Prime Number - University of Connecticut

      https://ctnt-summer.math.uconn.edu/wp-content/... · PDF tệp

      The ve largest known prime numbers are all Mersenne primes. Prime Number of digits Found 277232917 1 23,249,425 2017 274207281 1 22,338,618 2015 257885161 1 17,425,170 2013 243112609 1 12,978,189 2008 242643801 1 12,837,064 2009 Here is 274207281 1 on 745 back-to-back pages of very small type. Since 1876, the largest known prime has been a Mersenne …

    • The Largest Known prime by Year: A Brief History

      https://primes.utm.edu/notes/by_year.html

      The Largest Known prime by Year: A Brief History . The largest known prime today is the 24,862,048 digit Mersenne prime 2 82589933-1 found in December 2018, but how big have the "largest known primes" been historically? Historically, how have these primes been found?

    • Largest known prime | Googology Wiki | Fandom

      https://googology.fandom.com/wiki/Largest_known_prime
      • A spiral diagram showing which numbers are and aren't prime. The largest known prime as of December 2018 is \(2^{82,589,933} − 1\), which has 24,862,048 digits. A prime number is an integer greater than 1 that has no divisors other than 1 and itself. It is well known that there are infinitely many prime numbers (as proven by Euclid), so the search for very large prime numbers …
      Xem thêm trên googology.fandom.com · Văn bản trong giấy phép CC-BY-SA


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