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A161185
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First column of a table of all primes sorted by recursive look-up depending on the primality of their indices.
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0
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2, 3, 7, 11, 17, 19, 29, 31, 37, 41, 43, 47, 53, 67, 71, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 181, 191, 193, 199, 211
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| We start from two lists of primes according to whether their indices are prime or nonprime, the first list being A007821, the second A006450:
2,7,13,19,23,29,37,43,47,53,61,71,73,79,89,..
3,5,11,17,31,41,59,67,83,109,127,157,179,191,..
We construct rows of an intermediate table by transversing this double list, basically
reading a number, then using this number as an index into the other list,
reading the prime there, using it again as an index into the original list etc,
alternating between the two lists.
A new row is started from the smallest prime not contained in any earlier row (the
"generator" of this row). The first row starts with 2, takes the 2nd entry of the other list
(which is 5), takes the 5th entry from the original list (which is 23), then the 23rd
entry of the other list etc. The 2nd row starts with 3 (the smallest prime not in the
first row, takes the 3rd entry from the first list (which is 13), the 13th entry from
the 2nd list, which is 179 etc.
By construction, the table contains each prime exactly once. The first column with the
generators defines the sequence.
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EXAMPLE
| The table with the generator in the first column and followup primes in the same row starts
2,5,23,431,3821,...
3,13,179,1439,...
7,59,419,...
11,61,1847,...
17,101,3943,...
19,331,2833,...
29,599,5507,...
31,197,9739,...
37,919,8861,...
41,269,...
43,1153,...
47,1297,...
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CROSSREFS
| Cf. A141436.
Sequence in context: A197636 A040103 A045323 * A155141 A127944 A045324
Adjacent sequences: A161182 A161183 A161184 * A161186 A161187 A161188
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KEYWORD
| easy,nonn
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AUTHOR
| Daniel Tisdale (daniel6874(AT)gmail.com), Jun 05 2009
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EXTENSIONS
| Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 23 2009
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