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Search: id:A072694
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| A072694 |
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(p(n)#)^p(n), or n-th primorial raised to n-th prime power. |
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+0
1
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| 4, 216, 24300000, 18010885410000000, 9993825885714653185036703100000000000, 16151740133123735772971793020980457559217933230000000000000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(7) through a(10) have 98, 133, 193 and 285 digits, respectively.
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FORMULA
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a(n) = (p(n)#)^p(n), where p(n) is n-th prime and # denotes primorial (A002110).
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EXAMPLE
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a(3) = 24300000 because (p(3)#)^p(3) = (5*3*2)^5 = 30^5 = 24300000.
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PROGRAM
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(PARI) for(n=1, 6, print1((prod(k=1, n, prime(k)))^prime(n), ", "))
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CROSSREFS
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Cf. A002110 (primorials), A068210 ((p(n)!)^p(n)).
Sequence in context: A055627 A036740 A038786 this_sequence A068210 A078693 A025420
Adjacent sequences: A072691 A072692 A072693 this_sequence A072695 A072696 A072697
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KEYWORD
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easy,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 03 2002
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