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A085366
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Semiprimes that are the sum of two positive cubes. Common terms of A003325 and A046315.
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4
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9, 35, 65, 91, 133, 217, 341, 407, 559, 737, 793, 1027, 1241, 1339, 1343, 1843, 1853, 2071, 2413, 2771, 2869, 3197, 3383, 3439, 3473, 4097, 4439, 5129, 5833, 6119, 6641, 7471, 7859, 8027, 8587, 9773, 10261, 10649, 10991, 11377, 12679, 12913, 14023
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Sum of two positive cubes x^3+y^3 such that both x+y and x^2-x*y+y^2 are primes.
The only square is 9. Also, all terms have a unique representation as a sum of two distinct positive cubes. [Zak Seidov, Jun 02 2011]
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LINKS
| Zak Seidov, Table of n, a(n) for n=1..1356
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EXAMPLE
| a(2)=35 because 3^3+2^3=5*7, a(5)=133=5^3+2^3=(5+2)*(5^2-5*2+2^2)=7*19.
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CROSSREFS
| Cf. A003325, A046388, A001358, A085367.
Sequence in context: A119757 A003865 A187554 * A173245 A033566 A022275
Adjacent sequences: A085363 A085364 A085365 * A085367 A085368 A085369
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KEYWORD
| nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 25 2003
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