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A094133
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Primes of form x^y + y^x, for x,y > 1.
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16
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17, 593, 32993, 2097593, 8589935681, 59604644783353249, 523347633027360537213687137, 43143988327398957279342419750374600193, 4318114567396436564035293097707729426477458833, 5052785737795758503064406447721934417290878968063369478337
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OFFSET
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1,1
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COMMENTS
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Contains A061119 as a subsequence.
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LINKS
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Charles R Greathouse IV, Table of n, a(n) for n = 1..48
A. Kulsha, The XYYXF project - factorizations of x^y + y^x for 1 < y < x < 151.
A. Kulsha, Completely factored numbers x^y + y^x with 1 < y < x, sorted on x, then on y, for x < 101.
A. Kulsha, Completely factored numbers x^y + y^x with 1 < y < x, sorted on x, then on y, for 100 < x < 151.
P. Leyland, Primes and PRPs of the form x^y + y^x.
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EXAMPLE
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a(1) to a(10) are the 10 smallest primes of this form: 3^2+2^3, 9^2+2^9, 15^2+2^15, 21^2+2^21, 33^2+2^33, 24^5+5^24, 56^3+3^56, 32^15+15^32, 54^7+7^54, 38^33+33^38.
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MATHEMATICA
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a = {}; Do[Do[k = m^n + n^m; If[PrimeQ[k], AppendTo[a, k]], {m, 2, n}], {n, 2, 100}]; Union[a] (* Artur Jasinski *)
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CROSSREFS
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Sequence in context: A041544 A202407 A009709 * A162490 A142744 A219090
Adjacent sequences: A094130 A094131 A094132 * A094134 A094135 A094136
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KEYWORD
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nonn,changed
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AUTHOR
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Lekraj Beedassy, May 04 2004
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EXTENSIONS
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Corrected and extended by Jens Kruse Andersen, Oct 26 2007
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STATUS
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approved
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