# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a029553 Showing 1-1 of 1 %I A029553 #14 May 21 2013 11:17:28 %S A029553 4807,46189,290719,423181,753763,1188847,3863233,8457823,8810413, %T A029553 15058963,16948789,23524489,33402841,37912087,40018303,41874661, %U A029553 43401511,58953817,62012989,73792981,75598687,89269333,107492437,140757067 %N 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. %C A029553 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 %H A029553 Giovanni Resta, Table of n, a(n) for n = 1..268 (terms < 10^12) %H A029553 Index entries for sequences related to Carmichael numbers. %t A029553 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 *) %K A029553 nonn %O A029553 1,1 %A A029553 _David W. Wilson_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE