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A228556
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Sums of two coprime positive cubes that are also sums of two coprime positive fifth powers.
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3
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2, 32769, 14348908, 14381675, 1073741825, 1088090731, 30517578126, 30517610893, 30531927032, 31591319949, 43977108474, 470184984577, 500702562701, 4747561509944, 4747561542711, 4747575858850, 4748635251767, 4778079088068, 5217746494519
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OFFSET
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1,1
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COMMENTS
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Every term greater than 2 has at least one prime factor of the form 30*k + 1 and therefore is in A228541.
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LINKS
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FORMULA
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EXAMPLE
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14381675 is in the sequence since 32^3 + 243^3 = 8^5 + 27^5 = 14381675 and (32, 243) = (8, 27) = 1.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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