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A319017
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Prime numbers which satisfy the regex m1{1,m1}m2{1,m2}m3{1,m3}m4{1,m4}m5{1,m5} where mi are one-digit Lucas numbers.
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0
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21347, 2213347, 2213447, 21334447, 21344447, 21344777, 22133477, 213334477, 221344477, 2134444777, 22133344447, 221344477777, 2133344447777, 2133347777777, 2213447777777, 22133344447777, 213344447777777, 221333447777777, 22133344447777777
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OFFSET
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1,1
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COMMENTS
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mi=Lucas numbers sequence(i), i.e., m1=2, m2=1, m3=3 and so on.
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LINKS
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EXAMPLE
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The prime number 2213447 belongs to this sequence as 2, 1, 3, 4 and 7 are the one-digit Lucas numbers (ordered as in Lucas number sequence) and each digit k is repeated at most k times (including itself), in accordance with the regex described in the sequence name (2 repeated two times, 1 one time, 3 repeated one time, 4 repeated two times and 7 one time).
The prime number 22133344447777777 is the best example, as each one-digit Lucas number k is repeated exactly k times.
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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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