A349029 -id:A349029 - cp's OEIS frontend

A349028 Lucas-Carmichael numbers with 9 prime factors.

14563696180319, 16569718534655, 20203946790335, 22034564147519, 23315834862719, 23889526894079, 27074874805055, 28932092649215, 31534433588735, 34236981827279, 34249223161439, 45373136257295, 45593377151399, 50103079391519, 50415330959279, 50683388926247

Offset: 1

Tim Johannes Ohrtmann, Nov 06 2021

nonn

			14563696180319 = 11*13*17*23*29*41*47*59*79 and 12, 14, 18, 24, 30, 42, 48, 60, and 80 all divide 14563696180320.

Daniel Suteu, Table of n, a(n) for n = 1..14207 (all terms < 10^17).

Intersection of A006972 and A046312.
Cf. A216928 (least Lucas-Carmichael number with n prime factors).
Cf. A216925, A216926, A216927, A217002, A217003, A217091, A349029, A349030 (Lucas-Carmichael numbers with 3-8, 10 and 11 prime factors).

PARI
```
is(n)={omega(n)==9&&is_A006972(n)}
```

A349030 Lucas-Carmichael numbers with 11 prime factors.

Original entry on oeis.org

20576473996736735, 42380075646230399, 75943207554554879, 83668951228080959, 96195222056687039, 116436396482735615, 132525862783734959, 134052021887096159, 162544912900261199, 175900784368936319, 186326804496197519, 190523141606006495, 196467189590024639

Offset: 1

Tim Johannes Ohrtmann, Nov 06 2021

nonn

			20576473996736735 = 5*7*11*17*23*31*47*53*71*107*233 and 6, 8, 12, 18, 24, 32, 48, 54, 72, 108, and 234 all divide 20576473996736736.

Daniel Suteu, Table of n, a(n) for n = 1..2124 (all terms < 2^64).

Intersection of A006972 and A069272.
Cf. A216928 (least Lucas-Carmichael number with n prime factors).
Cf. A216925, A216926, A216927, A217002, A217003, A217091, A349028, A349029 (Lucas-Carmichael numbers with 3-10 prime factors).

PARI
```
is(n)={omega(n)==11&&is_A006972(n)}
```

cp's OEIS Frontend

A349028 Lucas-Carmichael numbers with 9 prime factors.

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