1722 (number)

1722 1, 2, 1722 1722 (one thousand seven hundred [and] twenty-two) is the natural number following 1721 and preceding 1723.Vanovschi Vitalii Properties of the number 1722 http://www.numberempire.com:80/1722 2026-09-27 www.numberempire.com en In mathematics 1722 is an even composite number that is a pronic number, the product of exactly four distinct primes,A046386 Products of exactly four distinct primes a 4-digit term in the continued fraction for pi,Weisstein Eric W. Pi Continued Fraction https://mathworld.wolfram.com/PiContinuedFraction.html 2026-09-27 mathworld.wolfram.com Wolfram Research, Inc. en and the least possible number of diagonals of simple convex polyhedron with 46 face.A279019 Least possible number of diagonals of simple convex polyhedron with n faces It is the number of 8-node graphs that are not determined by their spectrum,Weisstein Eric W. Determined by Spectrum https://mathworld.wolfram.com/DeterminedbySpectrum.html 2026-09-27 mathworld.wolfram.com Wolfram Research, Inc. en and the number of strings of length 4 over a 7-letter alphabet that do not begin with a palindrome 1722 is most notable for being a Giuga number, specifically the third one,Koninck Jean-Marie De https://www.google.com/books/edition/Those_Fascinating_Numbers/xdfTAwAAQBAJ?hl=en&gbpv=1&dq=Those+Fascinating+numbers&pg=PA135&printsec=frontcover Those Fascinating Numbers 2009 American Mathematical Soc. 978-0-8218-4807-4 135 enBurns Jamaris Casey Katherine Gichimu Duncan Stinson Kerrek Giuga's Primality Conjecture for Number Fields Rose-Hulman Undergraduate Mathematics Journal 2017 18 1 https://scholar.rose-hulman.edu/cgi/viewcontent.cgi?article=1345&context=rhumj 2026-09-27 5Weisstein Eric W. Giuga Number https://mathworld.wolfram.com/GiugaNumber.html 2026-09-27 mathworld.wolfram.com Wolfram Research, Inc. en since it is a composite number whose prime factors , 2, 3, 7, and 41, divides . This can be expressed as: .David Borwein Borwein D. Jonathan Borwein Borwein J. M. Peter Borwein Borwein P. B. Girgensohn R. Giuga's Conjecture on Primality American Mathematical Monthly 103 1 40–50 1996 0860.11003 http://www.math.uwo.ca/~dborwein/cv/giuga.pdf 10.2307/2975213 https://web.archive.org/web/20050531164907/http://www.math.uwo.ca/~dborwein/cv/giuga.pdf 2005-05-31 2975213 2026-09-27 It is the largest Giuga number with 4 prime factors.Grau José María Oller-Marcén Antonio M. 2011-03-17 Generalizing Giuga's conjecture https://arxiv.org/abs/1103.3483v1 2026-09-27 arXiv.org en References Category:Integers