A291612 Carmichael numbers k that satisfy 2^d == 2^(k/d) (mod k) for all d|k and are not Super-Poulet numbers (A050217).

1105, 852841, 3828001, 17098369, 118901521, 150846961, 172947529, 186393481, 200753281, 686059921, 771043201, 1001152801, 1207252621, 1269295201, 1632785701, 1772267281, 2301745249, 4765950001, 4897161361, 5278692481, 6030849889, 8251854001, 12121569601, 12456671569

Offset

1,1

Comments

Intersection of A002997 and A291602.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (calculated using data from Claude Goutier; terms 1..2665 from Max Alekseyev)

Claude Goutier, Compressed text file carm10e22.gz containing all the Carmichael numbers up to 10^22.

Index entries for sequences related to Carmichael numbers.

Example

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.

Crossrefs

Cf. A002997, A050217, A291602.

Sequence in context: A291602 A275881 A291616 * A180296 A252552 A295991

Adjacent sequences: A291609 A291610 A291611 * A291613 A291614 A291615

Keyword

nonn

Author

Max Alekseyev, Thomas Ordowski, Altug Alkan, Aug 27 2017

Status

approved