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Search: id:A126708
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| A126708 |
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Prime numbers that are the sum of the cubes of three distinct primes with the same final digit. |
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| 93871, 100043, 159389, 161071, 236627, 240551, 297233, 325693, 409499, 456623, 468551, 524287, 550061, 583981, 614683, 617401, 653491, 705277, 722807, 800171, 968239, 1016839, 1040311, 1129013, 1172261, 1276039, 1317259, 1326277, 1379519
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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93871 = 13^3 + 23^3 + 43^3 = 2197 + 12167 + 79507 is prime, and 13, 23, 43 are primes with the same final digit, hence 93871 is a term.
617401 = 43^3 + 53^3 + 73^3 = 79507 + 148877 + 389017 is prime, and 43, 53, 73 are primes with the same final digit, hence 617401 is a term.
14391 = 3^3 + 13^3 + 23^3 = 27 + 2197 + 12167 is not prime; although 3, 13, 23 are primes with the same final digit, 14391 is not in the sequence.
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PROGRAM
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(PARI) {m=116; p=m^3; w=[]; forprime(i=1, m-2, r=i%10; forprime(j=i+1, m-1, forprime(k=j+1, m, if(j%10==r&&k%10==r&&(n=i^3+j^3+k^3)<p&&isprime(n), w=concat(w, n))))); w=vecsort(w); for(j=1, #w-1, print1(w[j], ", "))} /* Klaus Brockhaus, Feb 16 2007 */
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CROSSREFS
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Cf. A125516, A126657, A126658.
Adjacent sequences: A126705 A126706 A126707 this_sequence A126709 A126710 A126711
Sequence in context: A025042 A023945 A128277 this_sequence A029754 A110845 A030091
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KEYWORD
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nonn,base
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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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