A135720 a(n) is the smallest Carmichael number (A002997) with the n-th prime as its smallest prime divisor, or 0 if no such number exists.

561, 1105, 1729, 75361, 29341, 162401, 334153, 1615681, 3581761, 399001, 294409, 252601, 1152271, 104569501, 2508013, 178837201, 6189121, 10267951, 10024561, 14469841, 4461725581, 985052881, 19384289, 23382529, 3828001, 90698401, 84350561, 6733693, 17098369

Offset

2,1

Links

Amiram Eldar, Table of n, a(n) for n = 2..1383 (calculated using data from Claude Goutier; terms 2..447 from Donovan Johnson, terms 448..615 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

a(2) = 561 because the smallest prime divisor of 561 is 3 which is the second prime.

Crossrefs

Cf. A002997, A135717, A006931, A135719, A135721, A141705.

Sequence in context: A306338 A367320 A300629 * A263403 A083733 A339869

Adjacent sequences: A135717 A135718 A135719 * A135721 A135722 A135723

Keyword

nonn

Author

Artur Jasinski, Nov 25 2007

Extensions

Two missing terms and terms up to a(447) added by Donovan Johnson, Dec 25 2013

a(448)-a(615) in b-file from Max Alekseyev, Mar 11 2018

Escape clause added by Jianing Song, Dec 12 2021

Status

approved