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Search: id:A133663
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| A133663 |
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Primes of the form a^a + b^b + c^c. |
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+0
1
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| 3, 29, 3637, 6277, 46687, 826669, 16777499, 16780597, 404197709, 775664521, 10000003129, 10387420493, 285311673737, 305311670611, 8916100448513, 8916487869001, 8926101271799, 17832200896513, 17832200899637
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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A000040 INTERSECTION {A000312(i) + A000312(j) + A000312(k)}.
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EXAMPLE
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a(1) = 3 = 1 + 1 + 1 is prime.
a(2) = 29 = 27 + 1 + 1 is prime.
a(3) = 3637 = 3125 + 256 + 256 is prime.
a(4) = 6277 = 3125 + 3125 + 27 is prime.
a(5) = 46687 = 46656 + 27 + 4 is prime.
a(6) = 826669 = 823543 + 3125 + 1 is prime.
a(7) = 16777499 = 16777216 + 256 + 27 is prime.
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MATHEMATICA
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Select[Union[ Flatten[Table[ a^a + b^b + c^c, {a, 1, 40}, {b, 1, a}, {c, 1, b}]]], PrimeQ]
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CROSSREFS
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Cf. A000040, A000312, A068145.
Sequence in context: A088389 A094000 A003190 this_sequence A006526 A139517 A112981
Adjacent sequences: A133660 A133661 A133662 this_sequence A133664 A133665 A133666
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 28 2007
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