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Search: id:A088328
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| A088328 |
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Table read by rows where n-th row consists of primes P(n,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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3
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| 3, 5, 11, 17, 5, 11, 17, 29, 41, 59, 71, 101, 107, 137, 149, 179, 191, 197, 29, 59, 149, 179, 239, 269, 419, 569, 599, 659, 809, 1019, 1049, 1229, 1319, 1619, 1949, 2129, 419, 1049, 2309, 2729, 3359, 5879, 6089, 6299, 7349, 7559, 8819, 9239, 10499, 10709
(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? 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, P(1,k)=3,5,11,17
P(2,k)=5,11,17,29,41,59,71,101,107,137,149,179,191,197
P(3,k)=29,59,149,179,239,269,419,569,599,659,809,1019,1049,1229,1289,1319,1619,1949,2129
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CROSSREFS
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Sequence in context: A018313 A074820 A006169 this_sequence A102643 A125631 A045408
Adjacent sequences: A088325 A088326 A088327 this_sequence A088329 A088330 A088331
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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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