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Search: id:A118097
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| A118097 |
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Primes of form 2 + odd prime to odd prime power. |
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+0
1
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| 29, 127, 24391, 161053, 357913, 571789, 1442899, 5177719, 18191449, 30080233, 73560061, 80062993, 118370773, 127263529, 131872231, 318611989, 344472103, 440711083, 461889919, 590589721, 756058033, 865523179, 1095912793
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A prime p for which p + 2 is prime is in A001359 Lesser of twin primes. This sequence is a generalization of that, but with prime to prime power substituting for prime (and excluding 2 from base and exponent).
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FORMULA
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{p^q + 2 where p is in A065091 and q is in A065091}.
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EXAMPLE
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a(1) = 29 = 3^3 + 2.
a(2) = 127 = 5^3 + 2.
a(3) = 24391 = 29^3 + 2.
a(4) = 161053 = 11^5 + 2.
a(5) = 357913 = 71^3 + 2.
a(6) = 571789 = 83^3 + 2.
1174711139839 is in this sequence because 1174711139839 = 53^7 + 2 is prime.
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CROSSREFS
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Cf. A000040, A000961, A001359, A030078, A050997, A053810, A065091.
Sequence in context: A118614 A033660 A142438 this_sequence A048636 A044361 A044742
Adjacent sequences: A118094 A118095 A118096 this_sequence A118098 A118099 A118100
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KEYWORD
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easy,nonn,new
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), May 11 2006
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 28 2008
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