The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003336 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A003336

Numbers that are the sum of 2 positive 4th powers.
(history; published version)

#66 by Charles R Greathouse IV at Sat Jul 13 21:32:41 EDT 2024

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#65 by Charles R Greathouse IV at Sat Jul 13 21:32:37 EDT 2024

PROG

(PARI) list(lim)=my(v=List(2)); for(x=1, sqrtnint(lim^.25, \=1, 4), for(y=1, min(sqrtnint(lim-x^4, 4)^.25, , x), listput(v, x^4+y^4))); vecsort(VecSet(v), , 8) \\ Charles R Greathouse IV, Apr 24 2012; updated July 13 2024

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#64 by Alois P. Heinz at Fri Nov 03 10:29:55 EDT 2023

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proposed

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#63 by Jon E. Schoenfield at Fri Nov 03 10:29:24 EDT 2023

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#62 by Jon E. Schoenfield at Fri Nov 03 10:29:13 EDT 2023

COMMENTS

Numbers n k such that n k = x^4 + y^4 has a solution in positive integers x, y.

LINKS

Sean A. Irvine, <a href="/A003336/b003336.txt">Table of n, a(n) for n = 1..20000</a> (first 1000 terms 1..1000 from T. D. Noe, terms 1001 to ..10000 from David A. Corneth)

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number</a>.

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#61 by Alois P. Heinz at Fri Sep 09 16:43:48 EDT 2022

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#60 by Michael De Vlieger at Fri Sep 09 15:01:25 EDT 2022

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#59 by Michael De Vlieger at Fri Sep 09 15:01:22 EDT 2022

LINKS

Samuel S. Wagstaff, Jr., <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Wagstaff/wagstaff8.html">Equal Sums of Two Distinct Like Powers</a>, J. Int. Seq., Vol. 25 (2022), Article 22.3.1.

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#58 by R. J. Mathar at Fri Jun 04 07:02:44 EDT 2021

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#57 by R. J. Mathar at Fri Jun 04 06:40:37 EDT 2021

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proposed