Search: id:A046025
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%I A046025
%S A046025 1,6,35,45,51,55,56,100,121,195,206,216,255,276,370,380,426,506,510,
%T A046025 511,710,741,800,825,871,930,975,1025,1060,1115,1140,1161,1270,1280,
%U A046025 1281,1311,1336,1361,1365,1381,1420,1421,1441,1490,1515,1696,1805
%N A046025 6n+1, 12n+1 and 18n+1 are all primes.
%C A046025 k is a Carmichael number generator giving C(k)=(6k+1)(12k+1)(18k+1)
%D A046025 Ivan Niven, Herbert S. Zuckerman and Hugh L. Montgomery, An Introduction 
               to the Theory Of Numbers, Fifth Edition, Wiley NY 1991, page 83, 
               problem #20.
%D A046025 R. K. Guy, Unsolved Problems in Number Theory, A13.
%H A046025 <a href="Sindx_Ca.html#Carmichael">Index entries for sequences related 
               to Carmichael numbers.</a>
%H A046025 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CarmichaelNumber.html">Link to a section of The World of Mathematics.</
               a>
%F A046025 Values of k such that 6k+1, 12k+1 and 18k+1 are prime
%t A046025 Select[Range[2000], PrimeQ[6# + 1] && PrimeQ[12# + 1] && PrimeQ[18# + 
               1] &]
%Y A046025 Cf. A033502, A002997.
%Y A046025 Sequence in context: A161323 A003423 A145000 this_sequence A009583 A033578 
               A101077
%Y A046025 Adjacent sequences: A046022 A046023 A046024 this_sequence A046026 A046027 
               A046028
%K A046025 nonn
%O A046025 1,2
%A A046025 Eric Weisstein (eric(AT)weisstein.com)
%E A046025 Better description from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 27 
               2000

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