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Search: id:A130292
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| A130292 |
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Numbers that are sums of fifth powers of two distinct primes. |
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+0
4
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| 275, 3157, 3368, 16839, 17050, 19932, 161083, 161294, 164176, 177858, 371325, 371536, 374418, 388100, 532344, 1419889, 1420100, 1422982, 1436664, 1580908, 1791150, 2476131, 2476342, 2479224, 2492906, 2637150, 2847392, 3895956
(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 to 5th powers as A120398 is to cubes and A130873 is to 4th powers. After a finite number of integers which cannot be written as a sum of 5th powers of primes, all integers can be so written; but no sum of exactly two fifth powers of primes is itself prime.
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FORMULA
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{a(n}} = {k such that k = A050997(i) + A050997(j)} = {k such that k = A000040(i)^5 + A000040(j)^5}.
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EXAMPLE
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a(1) = prime(1)^5 + prime(2)^5 = 2^5 + 3^5 = 32 + 243 = 275.
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MATHEMATICA
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Select[Sort[ Flatten[Table[Prime[n]^5 + Prime[k]^5, {n, 15}, {k, n - 1}]]], # <= Prime[15^5] &]
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CROSSREFS
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Cf. A000040, A050997, A120398, A122616, A130873.
Sequence in context: A063368 A028531 A028533 this_sequence A133536 A075666 A121743
Adjacent sequences: A130289 A130290 A130291 this_sequence A130293 A130294 A130295
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 06 2007
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