Search: id:A094106
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%I A094106
%S A094106 8,7,8,5,10,12,16,14,18,22,24,26,27,28,34,35,37,39,40,45,43,46,49,51,55,
               57
%N A094106 a(n) = maximal length L of a "power floor prime" sequence, i.e. a sequence 
               of the form [x^k], k=1,2,..,L consisting of primes only, where [x] 
               is the n-th prime number.
%D A094106 Crandall and Pomerance, "Prime numbers, a computational perspective", 
               p. 69, Research Problem 1.75.
%H A094106 C. Rivera, <a href="http://www.primepuzzles.net/problems/prob_042.htm">
               Problem 42</a>
%H A094106 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_227.htm">
               Puzzle 227</a>
%H A094106 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PowerFloorPrimeSequence.html">Power Floor Prime Sequence</a>
%e A094106 a(1)=8 because for x=111/47 the sequence [x^k],k=1,2,... 2,5,13,31,73,
               173,409,967,.. starts with 8 primes and this is the maximum for any 
               x with [x]=2. (Compare also A063636, though the rational number x= 
               1287/545 used there is not of minimal height!)
%Y A094106 Cf. A076255, A076357.
%Y A094106 Sequence in context: A086911 A103984 A037077 this_sequence A021536 A094082 
               A019326
%Y A094106 Adjacent sequences: A094103 A094104 A094105 this_sequence A094107 A094108 
               A094109
%K A094106 nonn
%O A094106 1,1
%A A094106 Johann Wiesenbauer (j.wiesenbauer(AT)tuwien.ac.at), May 02 2004. a(22) 
               = 46 sent Jun 03 2004.
%E A094106 a(23) = 49 from Johann Wiesenbauer (j.wiesenbauer(AT)tuwien.ac.at), Jun 
               27 2004
%E A094106 a(24) = 51 from Johann Wiesenbauer (j.wiesenbauer(AT)tuwien.ac.at), Aug 
               08 2004
%E A094106 a(25) and a(26) Michael Kenn (michael.kenn(AT)philips.com), Jan 03 2006, 
               who says: To achieve this results I used a shared network of 37 computers 
               over the Christmas holidays. The total calculation time was equivalent 
               to slightly more than 1 CPU year of a P4 - 2,4GHz.

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