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A086701
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n-th prime number raised to the n-th composite number.
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1
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16, 729, 390625, 40353607, 25937424601, 23298085122481, 168377826559400929, 15181127029874798299, 6132610415680998648961, 210457284365172120330305161, 671790528819082282036142601601, 855531895666462872887391390111637, 302862043149743582494593171234930481
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This sequence arises as a result of exponentiation with the terms of the sequence A000040 used as the base and the terms of the sequence A002808 used as the exponent.
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FORMULA
| a(n) = A000040(n)^A002808(n)
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EXAMPLE
| a(3)=5^8=390625 because 5 is the 3rd prime number and 8 is the 3rd composite number.
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MATHEMATICA
| p2c[n_]:=Module[{prs=Prime[Range[n]], cmps}, cmps=Take[Complement[Range[4, Last[prs]], prs], n]; First[#]^Last[#]&/@Thread[{prs, cmps}]]; p2c[20] (* From Harvey P. Dale, Jan 20 2012 *)
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CROSSREFS
| Cf. A000040, A002808, A086650.
Sequence in context: A201622 A171736 A062206 * A159375 A129008 A134183
Adjacent sequences: A086698 A086699 A086700 * A086702 A086703 A086704
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KEYWORD
| easy,nonn
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AUTHOR
| Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Jul 28 2003
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EXTENSIONS
| Corrected and extended by Harvey P. Dale, Jan 20 2012
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