A074271 -id:A074271 - cp's OEIS frontend

A076146 a(1) = 1; a(n) = a(n-1)*prime(a(n-1)).

1, 2, 6, 78, 30966, 11234495766, 3197149582479668022558

Offset: 1

Zak Seidov, Nov 02 2002

Previous term * prime(previous term). Previous term + prime(previous term) is A074271.

Matula-Goebel numbers of the finite ordinal numbers; see also A007097. - Gus Wiseman, Aug 30 2016

Cf. A033286, A074271, A007097, A000040, A004111, A348067.

NestList[# Prime@ # &, 1, 6] (* Michael De Vlieger, Aug 30 2016 *)

a(7) from Gus Wiseman, Aug 30 2016

A179274 a(1) = 5, a( n) = prime(a(n-1)) - a(n-1).

Original entry on oeis.org

5, 6, 7, 10, 19, 48, 175, 864, 5837, 51800, 584259, 8124352, 135854841, 2676859186, 61120545021, 1594967614576, 47019134572933

Offset: 1

Zak Seidov, Jul 07 2010

nonn

Cf. A074271 a(1) = 1, a(n) = prime(a(n-1)) + a(n-1).

Mathematica
```
NestList[Prime[ # ]-#&,5,15]
```

a(17) from Robert G. Wilson v, Jul 12 2010

A179511 a(1) = 1, a(n) = prime(a(n-1)) + 2*a(n-1).

Original entry on oeis.org

1, 4, 15, 77, 543, 5005, 58671, 845879, 14636427, 297816383, 7007621133, 188075111317, 5691796357357, 192358193107653

Offset: 1

Robert G. Wilson v, Jul 17 2010

Cf. A007097, A074271, A179274, A179512, A179513, A179514, A179515, A179516, A179517, A179518.

Mathematica
```
NestList[ Prime@# + 2# &, 1, 13]
```

A179512 a(1) = 12, a(n) = prime(a(n-1)) - 2a(n-1).

Original entry on oeis.org

12, 13, 15, 17, 25, 47, 117, 409, 1985, 13269, 116555, 1301043, 17911307, 296651169, 5792367991, 131137897895, 3395020992813, 99343099511585

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179513, A179514, A179515, A179516, A179517, A179518.

Mathematica
```
NestList[ Prime@# - 2# &, 12, 17]
```

A179513 a(1) = 1, a(n) = prime(a(n-1)) + 3*a(n-1).

Original entry on oeis.org

1, 5, 26, 179, 1600, 18299, 258850, 4407623, 88463546, 2056904519, 54625874590, 1637606381371, 54871264668362

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179512, A179514, A179515, A179516, A179517, A179518.

Mathematica
```
NestList[ Prime@# + 3# &, 1, 13]
```

A179514 a(1) = 31, a(n) = prime(a(n-1)) - 3a(n-1).

Original entry on oeis.org

31, 34, 37, 46, 61, 100, 241, 800, 3733, 23824, 200777, 2159228, 28739455, 461652916, 8767088533, 193511261098, 4894482550975, 140176399060982

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179512, A179513, A179515, A179516, A179517, A179518.

Mathematica
```
NestList[ Prime@# - 3# &, 31, 17]
```

A179515 a(1) = 1, a( n) = prime(a(n-1)) + 4a(n-1).

Original entry on oeis.org

1, 6, 37, 305, 3231, 42757, 687255, 13115039, 291562263, 7437080225, 214937130141, 6964398942275, 250747967052627

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179512, A179513, A179514, A179516, A179517, A179518.

Mathematica
```
NestList[ Prime@# + 4# &, 1, 12]
```

A179516 a(1) = 73, a(n) = prime(a(n-1)) - 4*a(n-1).

Original entry on oeis.org

73, 75, 79, 85, 99, 127, 201, 425, 1253, 5199, 29945, 229823, 2275065, 28132841, 423135497, 7573775211, 158441583469, 3816126076107, 104494456797095

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179512, A179513, A179514, A179515, A179517, A179518.

Mathematica
```
NestList[ Prime@# - 4# &, 73, 18]
```

A179517 a(1) = 1, a( n) = prime(a(n-1)) + 5a(n-1).

Original entry on oeis.org

1, 7, 52, 499, 6054, 90227, 1613754, 33885079, 821284774, 22663681441, 703996716588, 24381215997619

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179512, A179513, A179514, A179515, A179516, A179518.

Mathematica
```
NestList[ Prime@# + 5# &, 1, 11]
```

A179518 a(1) = 190, a(n) = prime(a(n-1)) - 5a(n-1).

Original entry on oeis.org

190, 201, 224, 303, 484, 1041, 3088, 12947, 74568, 572311, 5657168, 69791959, 1046964612, 18688198211, 389869522006, 9364620246437

Offset: 1

Robert G. Wilson v, Jul 17 2010

nonn

Cf. A007097, A074271, A179274, A179511, A179512, A179513, A179514, A179515, A179516, A179517.

Mathematica
```
NestList[ Prime@# - 5# &, 190, 15]
```

cp's OEIS Frontend

A076146 a(1) = 1; a(n) = a(n-1)*prime(a(n-1)).

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A179274 a(1) = 5, a( n) = prime(a(n-1)) - a(n-1).

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A179511 a(1) = 1, a(n) = prime(a(n-1)) + 2*a(n-1).

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Mathematica

A179512 a(1) = 12, a(n) = prime(a(n-1)) - 2a(n-1).

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Mathematica

A179513 a(1) = 1, a(n) = prime(a(n-1)) + 3*a(n-1).

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Mathematica

A179514 a(1) = 31, a(n) = prime(a(n-1)) - 3a(n-1).

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Mathematica

A179515 a(1) = 1, a( n) = prime(a(n-1)) + 4a(n-1).

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Mathematica

A179516 a(1) = 73, a(n) = prime(a(n-1)) - 4*a(n-1).

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Programs

Mathematica

A179517 a(1) = 1, a( n) = prime(a(n-1)) + 5a(n-1).

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Keywords

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Programs

Mathematica

A179518 a(1) = 190, a(n) = prime(a(n-1)) - 5a(n-1).

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Mathematica