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A098970
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Numbers n such that (12*n)^2 can be expressed as the sum of the cubes of two distinct primes.
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5
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19, 67695, 411292, 1134035, 1184876, 2112836, 2455255, 4073384, 11293009, 16171470, 18589912, 34388501, 63609329, 63711615, 117446600, 166530856, 284034387, 449805631, 637548135, 685361103, 783484793, 888180400, 1121365940
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This sequence resulted from a discussion on the seqfan mailing list started by Ed Pegg, Jr.
Dean Hickerson and Paul C. Leopardi have shown that if a and b are distinct primes with a^3 + b^3 = c^2, then c must be divisible by 12.
12*n is a subset of A099426. - Hans Havermann (gladhobo(AT)teksavvy.com), Oct 24 2004
All terms of this sequence are of the form M*N*(3*M^4+N^4)/2 for some pair M,N of relatively prime positive integers of opposite parity. For each n, A099806[n]^3 + A099807[n]^3 = (12*A098970[n])^2. - James Buddenhagen (jbuddenh(AT)gmail.com), Oct 26 2004
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LINKS
| James Buddenhagen, Two Primes Cubed which Sum to a Square.
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CROSSREFS
| Cf. A099426.
Cf. A099806, A099807, A099808, A099809.
Sequence in context: A068734 A145851 A034207 * A172751 A013764 A078353
Adjacent sequences: A098967 A098968 A098969 * A098971 A098972 A098973
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KEYWORD
| nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 24 2004
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EXTENSIONS
| More terms from James Buddenhagen (jbuddenh(AT)gmail.com), Oct 26 2004
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