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Carmichael numbers k that satisfy 2^d == 2^(k/d) (mod k) for all d|k and are not Super-Poulet numbers (A050217).
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%I #23 Apr 22 2024 08:12:38

%S 1105,852841,3828001,17098369,118901521,150846961,172947529,186393481,

%T 200753281,686059921,771043201,1001152801,1207252621,1269295201,

%U 1632785701,1772267281,2301745249,4765950001,4897161361,5278692481,6030849889,8251854001,12121569601,12456671569

%N Carmichael numbers k that satisfy 2^d == 2^(k/d) (mod k) for all d|k and are not Super-Poulet numbers (A050217).

%C Intersection of A002997 and A291602.

%H Amiram Eldar, <a href="/A291612/b291612.txt">Table of n, a(n) for n = 1..10000</a> (calculated using data from Claude Goutier; terms 1..2665 from Max Alekseyev)

%H Claude Goutier, <a href="http://www-labs.iro.umontreal.ca/~goutier/OEIS/A055553/">Compressed text file carm10e22.gz containing all the Carmichael numbers up to 10^22</a>.

%H <a href="/index/Ca#Carmichael">Index entries for sequences related to Carmichael numbers</a>.

%e Carmichael number 1105 = 5*13*17 is a term because 2^5 == 2^(13*17) (mod 1105), 2^13 == 2^(5*17) (mod 1105), 2^17 == 2^(5*13) (mod 1105) and it is not a Super-Poulet number.

%Y Cf. A002997, A050217, A291602.

%K nonn

%O 1,1

%A _Max Alekseyev_, _Thomas Ordowski_, _Altug Alkan_, Aug 27 2017