A317136 Extended Chernick Carmichael numbers that are the product of 4 or more distinct prime factors.

63973, 192739365541, 461574735553, 10028704049893, 84154807001953, 197531244744661, 973694665856161, 3060522900274753, 3183276534603733, 11861640972220321, 26862493078871893, 51516243805731301, 190276732600534693, 245840587068477781, 386096840467598593

Offset

1,1

Comments

Numbers of the form: (6*m + 1) * (12*m + 1) * Product_{i=1..k-2} (9 * 2^i * m + 1), where k >= 4, with the condition that each of the factors is prime and that m is divisible by 2^(k-4).

Links

Daniel Suteu, Table of n, a(n) for n = 1..9944

Jack Chernick, On Fermat's simple theorem, Bull. Amer. Math. Soc. 45:4 (1939), pp. 269-274.

Daniel Suteu, Perl program

Eric Weisstein's World of Mathematics, Carmichael Number

Index entries for sequences related to Carmichael numbers.

Crossrefs

Cf. A182518. Subsequence of A317126.

Sequence in context: A212882 A290793 A182518 * A182089 A217126 A250823

Adjacent sequences: A317133 A317134 A317135 * A317137 A317138 A317139

Keyword

nonn

Author

Daniel Suteu, Jul 22 2018

Status

approved