World Library  
Flag as Inappropriate
Email this Article

251 (number)

Article Id: WHEBN0002984353
Reproduction Date:

Title: 251 (number)  
Author: World Heritage Encyclopedia
Language: English
Subject: List of prime numbers, 250 (number), 252 (number), Sophie Germain prime, 500 (number)
Collection: Integers
Publisher: World Heritage Encyclopedia
Publication
Date:
 

251 (number)

250 251 252
Cardinal two hundred fifty-one
Ordinal 251st
(two hundred and fifty-first)
Factorization 251
Prime 54th
Roman numeral CCLI
Binary 111110112
Ternary 1000223
Quaternary 33234
Quinary 20015
Senary 10556
Octal 3738
Duodecimal 18B12
Hexadecimal FB16
Vigesimal CB20
Base 36 6Z36

251 (two hundred [and] fifty-one) is the natural number between 250 and 252. It is also a prime number.

In mathematics

251 is a Sophie Germain prime.[1] Every 5 × 5 matrix has exactly 251 square submatrices.[2] 251 is a de Polignac number, meaning that it is odd and cannot be formed by adding a power of two to a prime number.[3][4] It is the smallest number that can be formed in more than one way by summing three positive cubes:[5][6]

251 = 2^3 + 3^3 + 6^3 = 1^3 + 5^3 + 5^3.

References

  1. ^ "Sloane's A005384 : Sophie Germain primes p: 2p+1 is also prime", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "Sloane's A030662 : Number of combinations of n things from 1 to n at a time, with repeats allowed", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "Sloane's A006285 : Odd numbers not of form p + 2^x (de Polignac numbers)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Kozek, Mark Robert (2007), Applications of Covering Systems of Integers and Goldbach's Conjecture for Monic Polynomials, PhD dissertation, University of South Carolina, p. 14,  .
  5. ^ "Sloane's A008917 : Numbers that are the sum of 3 positive cubes in more than one way", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ De Koninck, Jean-Marie (2009), Those fascinating numbers, Providence, RI: American Mathematical Society, p. 64,  .
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.