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A110600
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Minimal set of prime-strings in base 12 in the sense of A071062.
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3
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2, 3, 5, 7, 11, 13, 73, 97, 109, 577, 1489, 7537, 17401, 226201, 1097113, 32555521, 388177921
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Maple worksheet available upon request. Here is the minimal set in base 12 where X is 10 and E is 11. 2, 3, 5, 7, E, 11, 61, 81, 91, 401, X41, 4441, X0X1, XXXX1, 44XXX1, XXX0001, XX000001. This minimal set demonstrates the elegance of base 12 generally since you can mentally follow the process of elimination, all primes after E end in the neutral digit 1 and the last two entries only contain X, 0 and 1. There are no primes of the form X0...01 since the sum of its digits is E and hence it is divisible by E.
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EXAMPLE
| a(10)=401 since no earlier prime in the list contained the pattern "*4*0*1*" where "*" stands for zero or more digits. The list can be manually constructed using a sieve-like process: eliminate all subsequent primes of the form "*4*0*1*" from the list of all primes. Assuming all previous elements have also been similarly determined, the next remaining prime should be X41.
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CROSSREFS
| Cf. A071062, A071070.
Sequence in context: A140464 A037174 A037949 * A029979 A029981 A029982
Adjacent sequences: A110597 A110598 A110599 * A110601 A110602 A110603
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KEYWORD
| nonn,base
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AUTHOR
| Walter A. Kehowski (wkehowski(AT)cox.net), Sep 14 2005
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