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A213318
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Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).
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1
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10037, 10103, 10111, 10117, 10123, 10127, 10130, 10134, 10136, 10138, 10151, 10153, 10157, 10159, 10163, 10167, 10171, 10172, 10175, 10191, 10192, 10195, 10199, 10213, 10217, 10227, 10229, 10231, 10232, 10235, 10239, 10243
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OFFSET
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1,1
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COMMENTS
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The sequence is finite. Proof: Each 9-digit number has at least 15 nonprime substrings. Thus, each number with more than 9 digits has >= 15 nonprime substrings, too. Consequently, there is a boundary b<10^9, such that all numbers > b have more than 11 nonprime substrings.
The first term is a(1)=10037=A213302(11). The last term is a(32869)=82337397=A213300(11).
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LINKS
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EXAMPLE
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a(1)= 10037, since 10037 has 11 nonprime substrings (0, 0, 1, 00, 03, 10, 003, 037, 100, 0037, 1003).
a(32869)= 82337397, since there are 11 nonprime substrings (8, 9, 33, 39, 82, 2337, 7397, 23373, 82337, 233739, 82337397).
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CROSSREFS
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Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682, A211684, A211685, A035244, A079307, A213300 - A213321.
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KEYWORD
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nonn,base,fini
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AUTHOR
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STATUS
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approved
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