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A016114
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Circular primes (numbers which remain prime under cyclic shifts of digits).
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4
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2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 197, 199, 337, 1193, 3779, 11939, 19937, 193939, 199933, 1111111111111111111, 11111111111111111111111
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OFFSET
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1,1
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COMMENTS
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The next repunit that is prime has 317 digits, all ones. See A004023. [From Harvey P. Dale, Mar 22 2012]
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LINKS
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Table of n, a(n) for n=1..21.
K. S. Brown, On General Palindromic Numbers
C. K. Caldwell, Circular Primes
P. De Geest, Circular Primes
H. Heinz, Prime Patterns (Illustration using 19937)
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MATHEMATICA
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fQ[p_] := Module[{b = IntegerDigits[p], ps}, ps = Table[FromDigits[b = RotateLeft[b]], {Length[b]}]; If[p > Min[ps], False, And @@ PrimeQ[ps]]]; Select[Prime[Range[100000]], fQ] (* T. D. Noe, Mar 22 2012 *)
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CROSSREFS
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Sequence includes all prime repunits (A004023). Cf. A003459.
For a sequence listing all the prime-yielding cyclic permutations see A068652.
Sequence in context: A117835 A120639 A141263 * A053434 A061166 A003681
Adjacent sequences: A016111 A016112 A016113 * A016115 A016116 A016117
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KEYWORD
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nonn,nice,base,more
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AUTHOR
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Robert G. Wilson v
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EXTENSIONS
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One more term from Lekraj Beedassy, Nov 07 2002
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STATUS
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approved
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