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 A051614 4th term in Euclid-Mullin prime sequence started with n-th 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS First term in Euclid-Mullin 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, k-1}]+1][[1, 1]]; f[4]); Table[a[n], {n, 1, 76}] (* Jean-François 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 STATUS approved

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)