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Search: id:A074114
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| A074114 |
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Largest n-digit number of the form p^a*q^b... with the maximum value of a+b+.... where p, q etc. are primes. |
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+0
2
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| 8, 96, 768, 8192, 98304, 786432, 8388608, 67108864, 805306368, 8589934592, 68719476736, 824633720832, 8796093022208, 70368744177664
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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The elements of this sequence have the form 2^a*3^b where a is an integer and b is either 0 or 1. - Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 05 2005
If 2^(floor(log_2(10^n))) < (2/3)*10^n then a(n)=2^(floor(log_2(10^n)))*3, otherwise a(n) is 2^(floor(log_2(10^n))), where log_2 denotes the logarithm in base 2. - Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 15 2005
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EXAMPLE
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a(2) = 96 = 2^5*3 a+b 5+1= 6 and is the maximum one can get with the largest two digit number 96.
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CROSSREFS
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Cf. A074113.
Sequence in context: A003775 A121785 A116144 this_sequence A069650 A066424 A099675
Adjacent sequences: A074111 A074112 A074113 this_sequence A074115 A074116 A074117
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KEYWORD
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base,nonn,more
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 27 2002
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EXTENSIONS
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a(5)-a(14) from Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 15 2005
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