A029558 Quasi-Carmichael numbers to base 5: squarefree composites n such that (n,2*3) = 1 and prime p|n ==> p-5|n-5.

77, 221, 2093, 3311, 8897, 10373, 33143, 35717, 48581, 52421, 54677, 61997, 65021, 73337, 108383, 112217, 119621, 134357, 143429, 155237, 200777, 214709, 238901, 252197, 261749, 283871, 302789, 358853, 363263, 378437, 388841, 407813, 420893

Offset

1,1

Comments

If multiples of 2 and 3 are not excluded, then terms like 21, 1677, 3477, 75621,... belong to the sequence. - Giovanni Resta, May 21 2013

Links

Giovanni Resta, Table of n, a(n) for n = 1..6707 (terms < 10^12)

Index entries for sequences related to Carmichael numbers.

Mathematica

qcm[n_, d_] := Block[{p, e}, {p, e} = Transpose@FactorInteger@n; Length[p] > 1 && Max[e] == 1 && d < Min[p] && And @@ IntegerQ /@ ((n - d)/(p - d))]; Select[Range[10^6], qcm[#, 5] &] (* Giovanni Resta, May 21 2013 *)

Crossrefs

Sequence in context: A044409 A044790 A255095 * A156652 A298102 A158767

Adjacent sequences: A029555 A029556 A029557 * A029559 A029560 A029561

Keyword

nonn

Author

David W. Wilson

Status

approved