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Search: id:A100778
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| A100778 |
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Integer powers of primorial numbers. |
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+0
1
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| 1, 2, 4, 6, 8, 16, 30, 32, 36, 64, 128, 210, 216, 256, 512, 900, 1024, 1296, 2048, 2310, 4096, 7776, 8192, 16384, 27000, 30030, 32768, 44100, 46656, 65536, 131072, 262144, 279936, 510510, 524288, 810000, 1048576, 1679616, 2097152, 4194304, 5336100
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Smallest square-free numbers or their powers with distinct prime signatures. Or least numbers with prime signatures (p*q*r*...)^k, where p,q,r,... are primes and k is a whole number.
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EXAMPLE
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10 is not a member as 6 is a member with the same prime signature 10>6.
216 is a member as 216 = (2*3)^3. 243 is not a member as 32 represents that prime signature.
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CROSSREFS
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Cf. A002110.
Sequence in context: A064408 A100685 A068799 this_sequence A122408 A100055 A104001
Adjacent sequences: A100775 A100776 A100777 this_sequence A100779 A100780 A100781
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KEYWORD
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easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 28 2004
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EXTENSIONS
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More terms and simpler definition from Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 29 2004
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