

A051614


4th term in EuclidMullin prime sequence started with nth prime (cf. A000945).


10



43, 43, 3, 43, 3, 79, 3, 5, 3, 3, 11, 223, 3, 7, 3, 3, 827, 367, 13, 3, 439, 5, 3, 3, 11, 5, 619, 3, 5, 3, 7, 3, 3, 5, 5, 907, 23, 11, 3, 3, 3, 1087, 3, 19, 3, 5, 7, 13, 3, 5, 3, 3, 1447, 3, 3, 3, 3767, 1627, 1663, 3, 1699, 3, 19, 5, 1879, 3, 1987, 7, 3, 5, 4943, 3, 2203, 2239, 5, 23
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OFFSET

1,1


COMMENTS

First term in EuclidMullin sequence is p (say), 2nd term (if p odd) is 2, 3rd term is A023592.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


EXAMPLE

E.g., (5,2,11,3), (89,2,179,3), (17,2,5,3), (2,3,7,43), (61,2,3,367).


MATHEMATICA

a[n_] := (Clear[f]; f[1] = Prime[n]; f[k_] := f[k] = FactorInteger[Product[f[i], {i, 1, k1}]+1][[1, 1]]; f[4]); Table[a[n], {n, 1, 76}] (* JeanFrançois Alcover, Feb 05 2014 *)


CROSSREFS

Cf. A000945, A000040, A005384, A005385, A023592, A051308  A051335.
Sequence in context: A127147 A298078 A291494 * A291479 A259089 A165864
Adjacent sequences: A051611 A051612 A051613 * A051615 A051616 A051617


KEYWORD

nonn,easy,nice


AUTHOR

Labos Elemer


STATUS

approved



