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Search: id:A136292
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| A136292 |
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Primes of the form a^a + b^b + c^c + d^d + e^e. |
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+0
1
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| 5, 11, 17, 31, 37, 43, 83, 89, 109, 263, 269, 521, 541, 547, 593, 773, 1051, 3181, 3187, 3413, 3691, 6763, 9377, 9403, 9887, 12527, 46663, 46993, 49787, 50549, 52937, 53189, 93851, 96697, 99563, 139999, 823547, 823553, 823573, 823651, 823831
(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(a) + A000312(b) + A000312(c) + A000312(d) + A000312(e)}.
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EXAMPLE
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a(1) = 5 = 1^1 + 1^1 + 1^1 + 1^1 + 1^1.
a(2) = 11 = 1^1 + 1^1 + 1^1 + 2^2 + 2^2.
a(3) = 17 = 1^1 + 2^2 + 2^2 + 2^2 + 2^2.
a(4) = 31 = 1^1 + 1^1 + 1^1 + 1^1 + 3^3.
a(5) = 37 = 1^1 + 1^1 + 2^2 + 2^2 + 3^3.
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MATHEMATICA
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Select[Union[ Flatten[Table[ a^a + b^b + c^c + d^d + e^e, {a, 1, 20}, {b, 1, a}, {c, 1, b}, {d, 1, c}, {e, 1, d}]]], PrimeQ]
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CROSSREFS
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Cf. A000040, A000312, A068145, A133664.
Sequence in context: A046135 A074267 A068072 this_sequence A088046 A087373 A030468
Adjacent sequences: A136289 A136290 A136291 this_sequence A136293 A136294 A136295
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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), Apr 11 2008
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