1093 (number)

1093 1, 1093 1093 (one thousand [and] ninety-three) is the natural number following 1092 and preceding 1094. In mathematics 1093 has only two divisors, meaning that it is the 183rd prime number. It is also a twin prime with 1097, a repdigit in ternary,Vanovschi Vitalii Properties of the number 1093 http://www.numberempire.com:80/1093 2026-09-15 www.numberempire.com en the smallest 4-digit star prime,A083576 Least n-digit prime star number and a centered dodecagonal number.A003154 Centered 12-gonal numbers, or centered dodecagonal number It is part of the Moser-de Bruijn sequence since it is the sum of distinct power of 4,A000695 Moser-de Bruijn sequence and the Flavius Josephus's sieve.A000960 Flavius Josephus's sieve 1093 + 4,A023200 Primes p such that p + 4 is also prime and (1093 + 1)/2 is prime.A005383 Primes p such that (p+1)/2 is prime Wieferich prime 1093 is most notable for being the first, and smallest out of only two known Wieferich primes,The two known Wieferich primes as of 2026 is 1093 and 3511.Weisstein Eric W. Wieferich Prime https://mathworld.wolfram.com/WieferichPrime.html 2026-09-16 mathworld.wolfram.com Wolfram Research, Inc. en since divides ,K. Caldwel Chris L. Honaker Jr G. 1093 https://t5k.org/curios/page.php?short=1093 Prime Curios! 2026-09-15A001220 Wieferich primes or such that ,Crandall Richard Dilcher Karl Pomerance Carl 1997-01-01 A search for Wieferich and Wilson primes https://doi.org/10.1090/s0025-5718-97-00791-6 Mathematics of Computation 66 217 433–450 10.1090/s0025-5718-97-00791-6 0025-5718Dorais François G. Klyve Dominic A Wieferich Prime Search up to 6.7 × 10¹⁵ Journal of Integer Sequences 2011 14 Article 11.9.2 https://ftp.gwdg.de/pub/EMIS/journals/JIS/VOL14/Klyve/klyve3.pdf 2026-09-15 which is similar to the Fermat's little theorem. A Wieferich prime is named after Arthur Wieferich, although Wieferich himself found no example of a prime, but in the year 1913, Waldemar Meissner W. Meissner cs discovered 1093 as a Wieferich prime.W. Meissner published a journal about this discovery in February 20, which is named "Über die Teilbarkeit von 2p−1 − 1 durch das Quadrat der Primzahl p = 1093". In other fields The book Mathematics: From the Birth of Numbers by Jan Gullberg contains a titanic prime of 1093 pages. Thomas A. Edison held 1093 successful patent applications in the United States.Scirri Kaitlin https://books.google.com/books?hl=en&lr=&id=ma3XDwAAQBAJ&oi=fnd&pg=PP52&dq=Thomas+A.+Edison+(1847-1931)+held+1093+successful+U.S.+patent+applications.&ots=xRDOm5WuA0&sig=3DcTOsedAE7zeReA4ikPE9ev0lk#v=onepage&q&f=false Thomas Edison: Inventor and Innovator 2019-07-15 Cavendish Square Publishing, LLC 52 978-1-5026-4532-6 en Notes References Category:Integers Category:Prime numbers