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 A068652 Numbers such that every cyclic permutation is a prime. 23
 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 197, 199, 311, 337, 373, 719, 733, 919, 971, 991, 1193, 1931, 3119, 3779, 7793, 7937, 9311, 9377, 11939, 19391, 19937, 37199, 39119, 71993, 91193, 93719, 93911, 99371, 193939, 199933, 319993 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See the closely related sequence A016114 for further information. - N. J. A. Sloane, May 04 2017 These numbers are sometimes called circular primes. - Tanya Khovanova, Jul 29 2024 LINKS Ray Chandler, Table of n, a(n) for n = 1..57 K. S. Brown, On General Palindromic Numbers C. K. Caldwell, Circular Primes Patrick De Geest, Circular Primes H. Heinz, Prime Patterns (Illustration using 19937) Gianni A. Sarcone, Tourbillonnants nombres premiers, Tangente Web Site, No date. Wikipedia, Circular prime EXAMPLE 197 is a member as all the three cyclic permutations 197,971,719 are primes. MATHEMATICA fQ[p_] := Module[{b = IntegerDigits[p]}, And @@ Table[PrimeQ[FromDigits[b = RotateLeft[b]]], {Length[b] - 1}]]; Select[Prime[Range[100000]], fQ] (* T. D. Noe, Mar 22 2012 *) ecppQ[n_]:=AllTrue[FromDigits/@Table[RotateLeft[IntegerDigits[n], i], {i, IntegerLength[n]}], PrimeQ]; Select[Range[400000], ecppQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Nov 25 2015 *) CROSSREFS Cf. A003459, A016114, A091633. Sequence in context: A107845 A234901 A090934 * A003459 A276132 A202264 Adjacent sequences: A068649 A068650 A068651 * A068653 A068654 A068655 KEYWORD base,nonn AUTHOR Amarnath Murthy, Feb 28 2002 EXTENSIONS More terms from Martin Renner, Apr 10 2002 STATUS approved

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Last modified September 10 23:44 EDT 2024. Contains 375795 sequences. (Running on oeis4.)