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Search: id:A088329
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| A088329 |
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Table read by rows where n-th row consists of k such that P(n,k)=k*p(n)# -1 is the first of prime twins with 0 < k < p(n+1)*p(n+2) where p(i) denotes i-th prime and p(i)# denotes i-th primorial, starting with n=1 p(1)=2. |
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| 2, 3, 6, 9, 1, 2, 3, 5, 7, 10, 12, 17, 18, 23, 25, 30, 32, 33, 1, 2, 5, 6, 8, 9, 14, 19, 20, 22, 27, 34, 35, 41, 43, 44, 54, 65, 71, 2, 5, 11, 13, 16, 28, 29, 30, 35, 36, 42, 44, 50, 51, 55, 57, 69, 73, 86, 95, 104, 121, 125, 128, 135, 140, 1, 4, 5
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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If n>2 the number of k values is near or greater than 4*log(4*p(n+1)), proof of the infinity of prime twins? P(n,k) values given in one other sequence
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EXAMPLE
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2*2 -1 = 3, k=2, n=1
3*2 -1 = 5, k=3, n=1
6*2 -1 = 11, k=6, n=1
9*2 -1 = 17, k=9, n=1
first row n=1, k=2,3,6,9
second row n=2, k=1,2,3,5,7,10,12,17,18,23,25,30,32,33
third row n=3, k=1,2,5,6,8,9,14,19,20,22,27,34,35,41,43,44,54,65,71
fourth row n=4, k=2,5,11,13,16,28,29,30,35,36,42,44,50,51,55,57,69,73,86,95,104,121,125,128,1
35,140
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CROSSREFS
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Cf. A088328.
Adjacent sequences: A088326 A088327 A088328 this_sequence A088330 A088331 A088332
Sequence in context: A051934 A093705 A103964 this_sequence A087494 A021426 A097108
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Pierre CAMI (colettecami(AT)aol.com), Nov 06 2003
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