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A033502
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Carmichael numbers of form (6k+1)(12k+1)(18k+1).
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2
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1729, 294409, 56052361, 118901521, 172947529, 216821881, 228842209, 1299963601, 2301745249, 9624742921, 11346205609, 13079177569, 21515221081, 27278026129, 65700513721, 71171308081, 100264053529, 168003672409
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also called Chernick's Carmichael numbers.
The first term, 1729, is the Hardy-Ramanujan number.
Dickson's conjecture implies that this sequence is infinite, as pointed out by Chernick.
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REFERENCES
| R. K. Guy, Unsolved Problems in Number Theory, A13.
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LINKS
| Eric Weisstein's World of Mathematics, Carmichael Number
Jack Chernick, On Fermat's simple theorem, Bull. Amer. Math. Soc. 45:4 (1939), pp. 269-274.
G. Tarry, I. Franel, A. Korselt, and G. Vacca. Problème chinois. L'intermédiaire des mathématiciens 6 (1899), pp. 142-144.
Index entries for sequences related to Carmichael numbers.
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CROSSREFS
| Values of k are given by A046025. See also A002997.
Sequence in context: A154716 A154728 A194263 * A050794 A138130 A048949
Adjacent sequences: A033499 A033500 A033501 * A033503 A033504 A033505
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KEYWORD
| nonn
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AUTHOR
| Marc LeBrun (mlb(AT)well.com)
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