A202562 Carmichael numbers whose prime factors do not divide any smaller Carmichael number.

561, 84350561, 851703301, 2436691321, 34138047673, 60246018673, 63280622521, 83946864769, 110296864801, 114919915021, 155999871721, 225593397919, 342267565249, 534919693681, 660950414671, 733547013841, 1079942171239, 1301203515361, 1333189866793

Offset

1,1

Comments

Note that all terms so far have only three prime factors.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (calculated using data from Claude Goutier; terms 1..1377, terms below 10^18, from Donovan Johnson)

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

Eric Weisstein's World of Mathematics, Carmichael Number.

Index entries for sequences related to Carmichael numbers.

Example

a(2) = 84350561 because 84350561 = 107*743*1061 and the smaller Carmichael numbers do not have the factors 107, 743 or 1061.

Crossrefs

Cf. A002997, A087788.

Sequence in context: A371759 A213867 A139089 * A252352 A252345 A121508

Adjacent sequences: A202559 A202560 A202561 * A202563 A202564 A202565

Keyword

nonn,changed

Author

Arkadiusz Wesolowski, Dec 21 2011

Status

approved