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Search: id:A118910
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| A118910 |
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a(1) = 2; a(n) is greatest prime < a(n-1)^3. |
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+0
3
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| 2, 7, 337, 38272739, 56062005704198360319209, 176199995814327287356671209104585864397055039072110696028654438846269
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Exponent 3 analogue of A059785 a(n+1)=prevprime(a(n)^2), with a(1) = 2. Obverse of this is A051254.
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EXAMPLE
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a(5) = 62343227157465615355481 = a(4)^3 - 32 = 39651817^3 - 32 and there is no k < 32 such that 39651817^3 - k is prime.
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MATHEMATICA
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a=2; Join[{2}, Table[a=a^3; While[ !PrimeQ[a], a=a-1]; a, {5}]] - T. D. Noe (noe(AT)sspectra.com), Nov 15 2006
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CROSSREFS
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Cf. A001358, A055496, A076656, A006992, A005384, A005385, A118908-A118913.
Sequence in context: A128466 A048122 A144787 this_sequence A081505 A110386 A027732
Adjacent sequences: A118907 A118908 A118909 this_sequence A118911 A118912 A118913
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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), May 05 2006
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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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