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Search: id:A088867
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| A088867 |
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Numbers that can be expressed as the sum of two distinct 4th powers in exactly two distinct ways that have at least one repeated factor. |
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+0
2
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| 680914892583617, 55683917506335026, 2056314197022256097, 3267700501872475297, 4544031582110882417, 10555434261160919777, 12361929340136667457, 23076050051029379057, 335875812638910622082
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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D. J. Bernstein, List of 516 primitive solutions p^4 + q^4 = r^4 + s^4
Cino Hilliard, p,q,r,s and evaluation of the Bernstein data
Cino Hilliard, Evaluation of the Bernstein data only
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FORMULA
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omega(n)<>bigomega(n) for n = a^4+b^4 = c^4+d^4 for distinct a, b, c, d. n=635318657, 3262811042, .., 680914892583617, .., 962608047985759418078417
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EXAMPLE
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The 16th entry in the Bernstein Evaluation = 680914892583617 = 17*17*89*61657*429361 = 5 factors. 5 is the 16th entry in the sequence.
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PROGRAM
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(PARI) \ begin a new session and type \r x4data.txt (evaluated Bernstein data) This will allow using %1 as the initial value. omegax4py42(n) = { for (i = 1, n, x = eval( Str("%", i) ); y=omega(x); y1 =bigomega(x); if(y<>y1, print1(x", ")) ) }
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CROSSREFS
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Cf. A003824, A088848, A088849.
Sequence in context: A128769 A086438 A104873 this_sequence A159042 A129935 A104835
Adjacent sequences: A088864 A088865 A088866 this_sequence A088868 A088869 A088870
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KEYWORD
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fini,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Nov 26 2003
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