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Search: id:A094133
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| A094133 |
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Primes of form x^y + y^x. |
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+0
10
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| 17, 593, 32993, 2097593, 8589935681, 59604644783353249, 523347633027360537213687137, 43143988327398957279342419750374600193, 4318114567396436564035293097707729426477458833, 5052785737795758503064406447721934417290878968063369478337
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Contains A061119 as a subsequence.
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LINKS
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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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MAPLE
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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: A041547 A041544 A009709 this_sequence A162490 A142744 A012219
Adjacent sequences: A094130 A094131 A094132 this_sequence A094134 A094135 A094136
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), May 04 2004
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EXTENSIONS
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Corrected and extended by Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Oct 26 2007
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