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- Fourth_power abstract "In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So:n4 = n × n × n × nFourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.The sequence of fourth powers of integers (also known as biquadratic numbers or tesseractic numbers) is:1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000, (sequence A000583 in OEIS)The last two digits of a fourth power of an integer can be easily shown (for instance, by computing the squares of possible last two digits of square numbers) to be restricted to only twelve possibilities:Every positive integer can be expressed as the sum of at most 19 fourth powers; every sufficiently large integer can be expressed as the sum of at most 16 fourth powers (see Waring's problem).Euler conjectured a fourth power cannot be written as the sum of 3 smaller fourth powers, but 200 years later this was disproven (Elkies, Frye) with:958004 + 2175194 + 4145604 = 4224814.That the equation x4 + y4 = z4 has no solutions in nonzero integers (a special case of Fermat's Last Theorem), was known, see Fermat's right triangle theorem.".
- Fourth_power wikiPageID "665027".
- Fourth_power wikiPageLength "2262".
- Fourth_power wikiPageOutDegree "28".
- Fourth_power wikiPageRevisionID "678233324".
- Fourth_power wikiPageWikiLink Abel-Ruffini_theorem.
- Fourth_power wikiPageWikiLink Abel–Ruffini_theorem.
- Fourth_power wikiPageWikiLink Algebra.
- Fourth_power wikiPageWikiLink Arithmetic.
- Fourth_power wikiPageWikiLink Category:Elementary_arithmetic.
- Fourth_power wikiPageWikiLink Category:Integer_sequences.
- Fourth_power wikiPageWikiLink Category:Integers.
- Fourth_power wikiPageWikiLink Category:Number_theory.
- Fourth_power wikiPageWikiLink Cube_(algebra).
- Fourth_power wikiPageWikiLink Cube_(arithmetic).
- Fourth_power wikiPageWikiLink Euler.
- Fourth_power wikiPageWikiLink Eulers_sum_of_powers_conjecture.
- Fourth_power wikiPageWikiLink Exponentiation.
- Fourth_power wikiPageWikiLink Fermats_Last_Theorem.
- Fourth_power wikiPageWikiLink Fermats_right_triangle_theorem.
- Fourth_power wikiPageWikiLink Fifth_power_(algebra).
- Fourth_power wikiPageWikiLink Fourth_degree_equation.
- Fourth_power wikiPageWikiLink Integer.
- Fourth_power wikiPageWikiLink Leonhard_Euler.
- Fourth_power wikiPageWikiLink Noam_Elkies.
- Fourth_power wikiPageWikiLink Nth_root.
- Fourth_power wikiPageWikiLink Perfect_power.
- Fourth_power wikiPageWikiLink Polynomial.
- Fourth_power wikiPageWikiLink Proof_of_Fermats_Last_Theorem_for_specific_exponents.
- Fourth_power wikiPageWikiLink Quartic_function.
- Fourth_power wikiPageWikiLink Roger_Frye.
- Fourth_power wikiPageWikiLink Square_(algebra).
- Fourth_power wikiPageWikiLink Square_number.
- Fourth_power wikiPageWikiLink Tesseract.
- Fourth_power wikiPageWikiLink Warings_problem.
- Fourth_power wikiPageWikiLinkText "Fourth power".
- Fourth_power wikiPageWikiLinkText "fourth power".
- Fourth_power hasPhotoCollection Fourth_power.
- Fourth_power title "Biquadratic Number".
- Fourth_power urlname "BiquadraticNumber".
- Fourth_power wikiPageUsesTemplate Template:About.
- Fourth_power wikiPageUsesTemplate Template:Algebra-stub.
- Fourth_power wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Fourth_power wikiPageUsesTemplate Template:MathWorld.
- Fourth_power wikiPageUsesTemplate Template:OEIS.
- Fourth_power subject Category:Elementary_arithmetic.
- Fourth_power subject Category:Integer_sequences.
- Fourth_power subject Category:Integers.
- Fourth_power subject Category:Number_theory.
- Fourth_power hypernym Result.
- Fourth_power type Combinatoric.
- Fourth_power type Field.
- Fourth_power type Integer.
- Fourth_power comment "In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So:n4 = n × n × n × nFourth powers are also formed by multiplying a number by its cube.".
- Fourth_power label "Fourth power".
- Fourth_power sameAs قوة_رابعة.
- Fourth_power sameAs 二重平方数.
- Fourth_power sameAs 네제곱수.
- Fourth_power sameAs m.030_xr.
- Fourth_power sameAs Fjärde_potens.
- Fourth_power sameAs Q840676.
- Fourth_power sameAs Q840676.
- Fourth_power wasDerivedFrom Fourth_power?oldid=678233324.
- Fourth_power isPrimaryTopicOf Fourth_power.