A029553 Quasi-Carmichael numbers to base 10: squarefree composites n such that (n,2*3*5*7) = 1 and prime p|n ==> p-10|n-10.

4807, 46189, 290719, 423181, 753763, 1188847, 3863233, 8457823, 8810413, 15058963, 16948789, 23524489, 33402841, 37912087, 40018303, 41874661, 43401511, 58953817, 62012989, 73792981, 75598687, 89269333, 107492437, 140757067

Offset

1,1

Comments

If multiples of 2, 3, 5 and 7 are not excluded, then terms like 10, 55, 66, 91, 130, 154,... belong to the sequence. - Giovanni Resta, May 21 2013

Links

Giovanni Resta, Table of n, a(n) for n = 1..268 (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[#, 10] &] (* Giovanni Resta, May 21 2013 *)

Crossrefs

Sequence in context: A336536 A035786 A108010 * A153406 A153407 A339468

Adjacent sequences: A029550 A029551 A029552 * A029554 A029555 A029556

Keyword

nonn

Author

David W. Wilson

Status

approved