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Powerful number
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== References == * {{cite journal | author = Cohn, J. H. E. | title = A conjecture of Erdős on 3-powerful numbers | journal = Math. Comp. | volume = 67 | year = 1998 | pages = 439–440 | url = https://www.ams.org/mcom/1998-67-221/S0025-5718-98-00881-3/ | doi = 10.1090/S0025-5718-98-00881-3 | issue = 221 | doi-access = free }} * {{cite journal | author = Erdős, Paul | author-link = Paul Erdős | author2 = Szekeres, George | author2-link = George Szekeres | name-list-style = amp | title = Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem | journal = Acta Litt. Sci. Szeged | volume = 7 | year = 1934 | pages = 95–102}} * {{cite journal | author = Golomb, Solomon W. | author-link = Solomon W. Golomb | title = Powerful numbers | journal = [[American Mathematical Monthly]] | volume = 77 | issue = 8 | year = 1970 | pages = 848–852 | doi = 10.2307/2317020 | jstor = 2317020}} * {{cite book | author = Guy, Richard K. | author-link = Richard K. Guy | pages = Section B16 | title = Unsolved Problems in Number Theory | edition = 3rd | publisher = Springer-Verlag | year = 2004 | isbn = 978-0-387-20860-2 | no-pp = true}} * {{cite conference | author = Heath-Brown, Roger | author-link = Roger Heath-Brown | title = Ternary quadratic forms and sums of three square-full numbers | book-title = Séminaire de Théorie des Nombres, Paris, 1986-7 | publisher = Birkhäuser | location = Boston | pages = 137–163 | year = 1988}} * {{cite conference | author = Heath-Brown, Roger | title = Sums of three square-full numbers | book-title = Number Theory, I (Budapest, 1987) | publisher = Colloq. Math. Soc. János Bolyai, no. 51 | year = 1990 | pages = 163–171}} * {{cite book | last=Ivić | first=Aleksandar | title=The Riemann zeta-function. The theory of the Riemann zeta-function with applications | series=A Wiley-Interscience Publication | location=New York etc. | publisher=John Wiley & Sons | year=1985 | isbn=978-0-471-80634-9 | zbl=0556.10026 | pages=33–34,407–413 }} * {{cite journal | author = McDaniel, Wayne L. | title = Representations of every integer as the difference of powerful numbers | journal = [[Fibonacci Quarterly]] | volume = 20 | year = 1982 | pages = 85–87| doi = 10.1080/00150517.1982.12430037 }} * {{cite journal | author = Nitaj, Abderrahmane | title = On a conjecture of Erdős on 3-powerful numbers | journal = [[Bulletin of the London Mathematical Society|Bull. London Math. Soc.]] | volume = 27 | year = 1995 | pages = 317–318 | doi = 10.1112/blms/27.4.317 | issue = 4| citeseerx = 10.1.1.24.563 }} * {{cite journal | last = Walker | first = David T. | issue = 2 | journal = The Fibonacci Quarterly | mr = 0409348 | pages = 111–116 | title = Consecutive integer pairs of powerful numbers and related Diophantine equations | url = https://www.fq.math.ca/Scanned/14-2/walker.pdf | volume = 14 | year = 1976 | doi = 10.1080/00150517.1976.12430562 }}
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