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 A083566 a(1) = 1; for n>1, a(n) = smallest odd number > a(n-1) such that a(1)*...*a(n) + 2 is a prime. 5
 1, 3, 5, 7, 9, 15, 19, 25, 27, 53, 57, 65, 71, 87, 101, 151, 195, 247, 253, 255, 277, 289, 291, 301, 321, 355, 361, 443, 455, 461, 491, 531, 533, 541, 599, 603, 619, 635, 647, 667, 805, 817, 871, 1003, 1011, 1179, 1205, 1223, 1327, 1357, 1531, 1551, 1603, 1619 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS MATHEMATICA a[1] = 1; a[n_] := a[n] = Block[{k = a[n - 1] + 2}, While[ !PrimeQ[k*Times @@ Table[a[i], {i, 1, n - 1}] + 2], k += 2]; k]; Table[ a[n], {n, 1, 54}] CROSSREFS Cf. A084723, A084724, A084725, A085013. Sequence in context: A340559 A073674 A084722 * A109790 A290426 A211137 Adjacent sequences:  A083563 A083564 A083565 * A083567 A083568 A083569 KEYWORD nonn AUTHOR Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 13 2003 EXTENSIONS Edited and extended by Robert G. Wilson v, Jun 17 2003 Edited by N. J. A. Sloane, Nov 01 2008 at the suggestion of R. J. Mathar STATUS approved

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Last modified July 29 07:28 EDT 2021. Contains 346340 sequences. (Running on oeis4.)