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Search: id:A138854
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| A138854 |
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Numbers which are the sum of three cubes of distinct primes. |
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+0
5
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| 160, 378, 476, 495, 1366, 1464, 1483, 1682, 1701, 1799, 2232, 2330, 2349, 2548, 2567, 2665, 3536, 3555, 3653, 3871, 4948, 5046, 5065, 5264, 5283, 5381, 6252, 6271, 6369, 6587, 6894, 6992, 7011, 7118, 7137, 7210, 7229, 7235, 7327, 7453, 8198, 8217, 8315
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is a subset of A024975. The odd terms of this sequence are A138853, the even terms are 8+{ even terms of A120398 }. Thus primes in this sequence, A137365, are the same than primes in A138853.
Values up to 3871 confirmed by R. J. Mathar.
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LINKS
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Index to sequences related to sums of cubes.
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FORMULA
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A138854 = { p(i)^3+p(j)^3+p(k)^3 ; i>j>k>0 } = A138853 union { p(i)^3+p(j)^3+8 ; i>j>1}
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PROGRAM
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(PARI) isA138854(n)={ if( n%2, isA138853(n), isA120398(n-8)) }
for( n=1, 10^4, isA138854(n) & print1(n", "))
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CROSSREFS
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Cf. A024975 (a^3+b^3+c^3, a>b>c>0), A122723 (primes in A024975), A138853 (odd terms of this), A120398, A137365 (primes in A138853 / A138854).
Sequence in context: A013466 A060675 A127338 this_sequence A133530 A120103 A127409
Adjacent sequences: A138851 A138852 A138853 this_sequence A138855 A138856 A138857
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KEYWORD
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nonn
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AUTHOR
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M. F. Hasler (www.univ-ag.fr/~mhasler), Apr 13 2008
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