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- Powerful_number abstract "A powerful number is a positive integer m such that for every prime number p dividing m, p2 also divides m. Equivalently, a powerful number is the product of a square and a cube, that is, a number m of the form m = a2b3, where a and b are positive integers. Powerful numbers are also known as squareful, square-full, or 2-full. Paul Erdős and George Szekeres studied such numbers and Solomon W. Golomb named such numbers powerful.The following is a list of all powerful numbers between 1 and 1000:1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72, 81, 100, 108, 121, 125, 128, 144, 169, 196, 200, 216, 225, 243, 256, 288, 289, 324, 343, 361, 392, 400, 432, 441, 484, 500, 512, 529, 576, 625, 648, 675, 676, 729, 784, 800, 841, 864, 900, 961, 968, 972, 1000, ... (sequence A001694 in OEIS).".
- Powerful_number wikiPageExternalLink S0025-5718-98-00881-3.
- Powerful_number wikiPageExternalLink abc.html.
- Powerful_number wikiPageID "462499".
- Powerful_number wikiPageLength "11491".
- Powerful_number wikiPageOutDegree "30".
- Powerful_number wikiPageRevisionID "682993670".
- Powerful_number wikiPageWikiLink Achilles_number.
- Powerful_number wikiPageWikiLink American_Mathematical_Monthly.
- Powerful_number wikiPageWikiLink Apxc3xa9rys_constant.
- Powerful_number wikiPageWikiLink Arithmetic_progression.
- Powerful_number wikiPageWikiLink Bulletin_of_the_London_Mathematical_Society.
- Powerful_number wikiPageWikiLink Category:Integer_sequences.
- Powerful_number wikiPageWikiLink Cube_(algebra).
- Powerful_number wikiPageWikiLink Cube_(arithmetic).
- Powerful_number wikiPageWikiLink Dirichlet_series.
- Powerful_number wikiPageWikiLink Erdős_conjecture.
- Powerful_number wikiPageWikiLink Fibonacci_Quarterly.
- Powerful_number wikiPageWikiLink George_Szekeres.
- Powerful_number wikiPageWikiLink Integer_factorization.
- Powerful_number wikiPageWikiLink List_of_conjectures_by_Paul_Erdős.
- Powerful_number wikiPageWikiLink London_Mathematical_Society.
- Powerful_number wikiPageWikiLink Natural_number.
- Powerful_number wikiPageWikiLink Paul_Erdős.
- Powerful_number wikiPageWikiLink Pells_equation.
- Powerful_number wikiPageWikiLink Perfect_cube.
- Powerful_number wikiPageWikiLink Positive_integer.
- Powerful_number wikiPageWikiLink Prime_factorization.
- Powerful_number wikiPageWikiLink Prime_number.
- Powerful_number wikiPageWikiLink Richard_K._Guy.
- Powerful_number wikiPageWikiLink Riemann_zeta_function.
- Powerful_number wikiPageWikiLink Roger_Heath-Brown.
- Powerful_number wikiPageWikiLink Singly_and_doubly_even.
- Powerful_number wikiPageWikiLink Singly_even_number.
- Powerful_number wikiPageWikiLink Solomon_W._Golomb.
- Powerful_number wikiPageWikiLink Square-free_integer.
- Powerful_number wikiPageWikiLink Square_number.
- Powerful_number wikiPageWikiLink Square_root.
- Powerful_number wikiPageWikiLinkText "3-powerful number".
- Powerful_number wikiPageWikiLinkText "Erdős–Mollin–Walsh conjecture".
- Powerful_number wikiPageWikiLinkText "Powerful number".
- Powerful_number wikiPageWikiLinkText "difference of two consecutive squares".
- Powerful_number wikiPageWikiLinkText "powerful number".
- Powerful_number wikiPageWikiLinkText "powerful".
- Powerful_number hasPhotoCollection Powerful_number.
- Powerful_number name "Numbers n such that n and n+1 are a pair of consecutive powerful numbers".
- Powerful_number sequencenumber "A060355".
- Powerful_number title "Powerful number".
- Powerful_number urlname "PowerfulNumber".
- Powerful_number wikiPageUsesTemplate Template:Cite_book.
- Powerful_number wikiPageUsesTemplate Template:Cite_conference.
- Powerful_number wikiPageUsesTemplate Template:Cite_journal.
- Powerful_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Powerful_number wikiPageUsesTemplate Template:Divisor_classes.
- Powerful_number wikiPageUsesTemplate Template:Mathworld.
- Powerful_number wikiPageUsesTemplate Template:OEIS.
- Powerful_number wikiPageUsesTemplate Template:Reflist.
- Powerful_number wikiPageUsesTemplate Template:SloanesRef.
- Powerful_number subject Category:Integer_sequences.
- Powerful_number hypernym M.
- Powerful_number type Place.
- Powerful_number type Combinatoric.
- Powerful_number type Integer.
- Powerful_number comment "A powerful number is a positive integer m such that for every prime number p dividing m, p2 also divides m. Equivalently, a powerful number is the product of a square and a cube, that is, a number m of the form m = a2b3, where a and b are positive integers. Powerful numbers are also known as squareful, square-full, or 2-full. Paul Erdős and George Szekeres studied such numbers and Solomon W.".
- Powerful_number label "Powerful number".
- Powerful_number sameAs Mocné_číslo.
- Powerful_number sameAs Potente_Zahl.
- Powerful_number sameAs Pova_nombro.
- Powerful_number sameAs عدد_قدرتمند.
- Powerful_number sameAs Nombre_puissant.
- Powerful_number sameAs Numero_potente.
- Powerful_number sameAs 多冪数.
- Powerful_number sameAs m.02cgh_.
- Powerful_number sameAs Полнократное_число.
- Powerful_number sameAs Močno_število.
- Powerful_number sameAs ஆற்றல்மிகு_எண்.
- Powerful_number sameAs Q3191171.
- Powerful_number sameAs Q3191171.
- Powerful_number sameAs 冪數.
- Powerful_number wasDerivedFrom Powerful_number?oldid=682993670.
- Powerful_number isPrimaryTopicOf Powerful_number.