A349028 -id:A349028 - cp's OEIS frontend

A349029 Lucas-Carmichael numbers with 10 prime factors.

989565001538399, 1250312791224959, 1419432982021439, 1518134614712639, 2240225337903839, 2493922560242399, 2708548708646879, 2786001880066559, 2807577905060159, 2808521396058455, 3157015238986895, 3210972445532159, 3221015190555239, 3407706183722399, 3614740529402519

Offset: 1

Tim Johannes Ohrtmann, Nov 06 2021

nonn

			989565001538399 = 11*13*17*19*29*31*41*47*83*149 and 12, 14, 18, 20, 30, 32, 42, 48, 84, and 150 all divide 989565001538400.

Daniel Suteu, Table of n, a(n) for n = 1..5249 (all terms < 10^18)

Intersection of A006972 and A046314.
Cf. A216928 (least Lucas-Carmichael number with n prime factors).
Cf. A216925, A216926, A216927, A217002, A217003, A217091, A349028, A349030 (Lucas-Carmichael numbers with 3-9 and 11 prime factors).

PARI
```
is(n)={omega(n)==10&&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

A349029 Lucas-Carmichael numbers with 10 prime factors.

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