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Search: id:A126704
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| A126704 |
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Prime numbers that are the sum of three distinct positive sixth powers. |
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1
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| 4889, 50753, 51481, 66377, 262937, 308801, 797681, 840241, 1000793, 1046657, 1772291, 2303003, 2986777, 3032641, 3107729, 3365777, 4757609, 4804201, 5135609, 7530329, 7534361, 8061041, 8065073, 10516249, 12394721, 14638753
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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4889 = 2^6 + 3^6 + 4^6 = 64 + 729 + 4096.
66377 = 4^6 + 5^6 + 6^6 = 4096 + 15625 + 46656.
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PROGRAM
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(PARI) {m=16; p=m^6; w=[]; for(i=1, m-2, for(j=i+1, m-1, for(k=j+1, m, if((n=i^6+j^6+k^6)<p&&isprime(n), w=concat(w, n))))); w=vecsort(w); for(h=1, #w, print1(w[h], ", "))} /* Klaus Brockhaus, Feb 16 2007 */
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CROSSREFS
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Cf. A125516, A126657, A126658.
Sequence in context: A053396 A075294 A086127 this_sequence A107545 A031658 A031568
Adjacent sequences: A126701 A126702 A126703 this_sequence A126705 A126706 A126707
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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 11 2007
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EXTENSIONS
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Edited, corrected and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 16 2007
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