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Search: id:A074379
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| A074379 |
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Super-Carmichael numbers with exactly 4 factors. |
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+0
2
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| 41041, 62745, 63973, 75361, 101101, 126217, 172081, 188461, 278545, 340561, 449065, 552721, 656601, 658801, 670033, 748657, 838201, 852841, 997633, 1033669, 1082809, 1569457, 1773289, 2100901, 2113921, 2433601, 2455921
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Super-Carmichael numbers are Carmichael numbers (A002997) for which Moebius function mu(n) is 1 (A008683). There are no super-Carmichael numbers with exactly 2 factors since Carmichael numbers must have at least 3 factors.
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EXAMPLE
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41041 = 7 * 11 * 13 * 41, 62745 = 3 * 5 * 47 * 89, ...
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MATHEMATICA
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p = Table[ Prime[i], {i, 1, 10}]; f[n_] := Union[ PowerMod[ Select[p, GCD[ #, n] == 1 & ], n - 1, n]]; Select[ Range[2500000], !PrimeQ[ # ] && OddQ[ # ] && Length[ FactorInteger[ # ]] == 4 && MoebiusMu[ # ] == 1 && f[ # ] == {1} & ]
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CROSSREFS
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Cf. A002997, A006931.
Sequence in context: A033532 A047828 A141711 this_sequence A027577 A128150 A165114
Adjacent sequences: A074376 A074377 A074378 this_sequence A074380 A074381 A074382
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KEYWORD
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nonn
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AUTHOR
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Jani Melik (jani_melik(AT)hotmail.com), Sep 24 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 03 2002
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