A338442 Carmichael numbers with 10 prime factors.

1436697831295441, 1493812621027441, 2094319836529921, 2349991949342401, 2842648863161185, 2859959706040801, 3455134500424321, 3871703982953521, 4177950872896801, 4289150794129201, 4937378437571041, 5071419883911745, 5778659093725441, 6665161459969441, 6682056104892961

Offset

1,1

Links

Daniel Suteu, Table of n, a(n) for n = 1..10000

Richard Pinch, Tables relating to Carmichael numbers.

Formula

Equals A002997 intersect A046314.

Example

1436697831295441 = 11*13*19*29*31*37*41*43*71*127 and 10, 12, 18, 28, 30, 36, 40, 42, 70, 126 all divide 1436697831295440.

Prog

(PARI) is(n)={omega(n)==10&&is_A002997(n)}

Crossrefs

Cf. A002997 (Carmichael numbers).

Cf. A006931 (Least Carmichael number with n prime factors).

Cf. A299710 (Number of terms less than 10^n).

Cf. A087788, A074379, A112428, A112429, A112430, A112431, A112432, A338443 (Carmichael numbers with 3-9 and 11 prime factors).

Sequence in context: A288286 A217683 A098099 * A257138 A288279 A318170

Adjacent sequences: A338439 A338440 A338441 * A338443 A338444 A338445

Keyword

nonn

Author

Tim Johannes Ohrtmann, Oct 28 2020

Status

approved