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Search: id:A083020
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| A083020 |
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Prime factors of 3^(3^n)+2. |
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+0
1
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| 5, 29, 5, 31, 127, 11, 693236134999, 5, 15679, 2372959, 5945531, 3312453269, 121032673159, 87189642485960958202911070585860771696964072404731750085525219437990967093723439\ 943475549906831683116791055225665629
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The last entry is 3^(3^5)+2, a probable prime. Conjecture: These numbers have no repeating factors or 3^(3^n)+2 is square-free.
The Magma Calculator (http://magma.maths.usyd.edu.au/calc/) confirms that the term given above for a(13) is, in fact, prime. [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Aug 24 2009]
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CROSSREFS
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Sequence in context: A125137 A132550 A154587 this_sequence A033503 A057206 A057713
Adjacent sequences: A083017 A083018 A083019 this_sequence A083021 A083022 A083023
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 31 2003
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 15 2006
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