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A343538
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Longest sequence of distinct two-digit numbers (10-99) such that any two or three consecutive terms can be concatenated into a prime number, even when connected into a loop. Smallest number is listed first.
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1
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13, 61, 63, 67, 19, 99, 31, 69, 91, 87, 79, 37, 39, 43, 27, 49, 73, 51
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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A total of 164 sequences exist from two to eighteen terms. Checked to a depth of 50 terms with two different programs. 11262 sequences with two to twenty-one terms exist if the demand on connecting the sequence into a loop is removed.
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REFERENCES
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Andreas Boe, The Toy Robot, Amazon, 2014, Afterword Quiz.
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LINKS
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Illustration for 11,17,33,47,93,71,51,53,81,23,41,39
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EXAMPLE
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13,61,63,67 -> 1361, 6163, 6367, 136163, 616367 are all prime numbers.
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CROSSREFS
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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STATUS
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approved
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