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A046025
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6n+1, 12n+1 and 18n+1 are all primes.
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8
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1, 6, 35, 45, 51, 55, 56, 100, 121, 195, 206, 216, 255, 276, 370, 380, 426, 506, 510, 511, 710, 741, 800, 825, 871, 930, 975, 1025, 1060, 1115, 1140, 1161, 1270, 1280, 1281, 1311, 1336, 1361, 1365, 1381, 1420, 1421, 1441, 1490, 1515, 1696, 1805
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| k is a Carmichael number generator giving C(k)=(6k+1)(12k+1)(18k+1)
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REFERENCES
| 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.
R. K. Guy, Unsolved Problems in Number Theory, A13.
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LINKS
| Index entries for sequences related to Carmichael numbers.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
| Values of k such that 6k+1, 12k+1 and 18k+1 are prime
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MATHEMATICA
| Select[Range[2000], PrimeQ[6# + 1] && PrimeQ[12# + 1] && PrimeQ[18# + 1] &]
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CROSSREFS
| Cf. A033502, A002997.
Sequence in context: A161323 A003423 A145000 * A198327 A009583 A033578
Adjacent sequences: A046022 A046023 A046024 * A046026 A046027 A046028
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KEYWORD
| nonn
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
| Better description from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 27 2000
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