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

Author

Daniel Suteu, Jul 22 2018

Keywords

• nonn

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.