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 A174840 Least k such that the primes 3 to prime(k+1) form a complete residue system (mod prime(n)). 0
 3, 7, 9, 13, 26, 26, 42, 32, 65, 63, 84, 74, 89, 162, 110, 126, 177, 169, 144, 171, 214, 196, 237, 238, 323, 297, 363, 344, 327, 515, 441, 543, 420, 481, 612, 494, 604, 543, 646, 552, 645, 644, 519, 742, 593, 737, 644, 851, 1012, 787, 1204, 727, 899, 800, 1046 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If the value of the terminal prime is given rather than its index in the list of odd primes, the sequence becomes 7 19 29 43 103 103 191 137 347 311 439 In other words, the odd primes no larger than 7 form a complete residue set mod 3, the odd primes no larger than 19 form a complete residue set mod 5, and so forth LINKS Table of n, a(n) for n=1..55. MATHEMATICA Table[p=Prime[n]; k=1; While[u=Union[Mod[Prime[Range[2, k]], p]]; u != Range[0, p-1], k++ ]; k-1, {n, 2, 100}] (* T. D. Noe, Apr 02 2010 *) CROSSREFS Sequence in context: A018663 A110575 A325556 * A032664 A166733 A172987 Adjacent sequences: A174837 A174838 A174839 * A174841 A174842 A174843 KEYWORD nonn AUTHOR Keith Backman, Mar 30 2010 EXTENSIONS Name improved by T. D. Noe, Apr 05 2010 Corrected and extended by T. D. Noe, Apr 02 2010 STATUS approved

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Last modified August 12 08:23 EDT 2024. Contains 375085 sequences. (Running on oeis4.)