

A074379


SuperCarmichael numbers with exactly 4 factors.


2



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
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OFFSET

1,1


COMMENTS

SuperCarmichael numbers are Carmichael numbers (A002997) for which Moebius function mu(n) is 1 (A008683). There are no superCarmichael numbers with exactly 2 factors since Carmichael numbers must have at least 3 factors.


LINKS

R. J. Mathar, Table of n, a(n) for n = 1..6042


EXAMPLE

41041 = 7 * 11 * 13 * 41, 62745 = 3 * 5 * 47 * 89, ...


MATHEMATICA

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} & ]


CROSSREFS

Cf. A002997, A006931.
Sequence in context: A173361 A047828 A141711 * A237395 A234546 A183667
Adjacent sequences: A074376 A074377 A074378 * A074380 A074381 A074382


KEYWORD

nonn


AUTHOR

Jani Melik, Sep 24 2002


EXTENSIONS

Edited and extended by Robert G. Wilson v, Oct 03 2002


STATUS

approved



