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Search: id:A126657
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| A126657 |
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Prime numbers that are the sum of three distinct positive fourth powers. |
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+0
8
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| 353, 1553, 5393, 6833, 7187, 7793, 7873, 8963, 9043, 9587, 10337, 11953, 13697, 14177, 14723, 16193, 17123, 20753, 21283, 21377, 21617, 23603, 25457, 28643, 29873, 30113, 30817, 31393, 35393, 35747, 39857, 43283, 45233, 45377, 46273
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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1553= 1^4 + 4^4 + 6^4 = 1 + 256 + 1296.
6833 = 2^4 + 4^4 + 9^4 = 16 + 256 + 6561.
21377 = 2^4 + 5^4 + 12^4 = 16 + 625 + 20736.
35747 = 5^4 + 9^4 + 13^4 = 625 + 6561 + 28561.
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PROGRAM
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(PARI) {m=15; p=m^4; v=vector(m, x, x^4); w=[]; for(i=1, m-2, for(j=i+1, m-1, for(k=j+1, m, if((n=v[i]+v[j]+v[k])<p&&isprime(n), w=concat(w, n))))); w=listsort(List(w), 1); for(j=1, #w-1, print1(w[j], ", "))} /* Klaus Brockhaus, Feb 11 2007 */
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CROSSREFS
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Cf. A125516, A126658.
Sequence in context: A054825 A142565 A142785 this_sequence A122718 A098678 A056216
Adjacent sequences: A126654 A126655 A126656 this_sequence A126658 A126659 A126660
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KEYWORD
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nonn
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AUTHOR
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Tomas Xordan (xordan.tom(AT)gmail.com), Feb 09 2007
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EXTENSIONS
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Edited, corrected and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 11 2007
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