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 A112484 Array where n-th row contains the primes < n and coprime to n. 5
 2, 3, 2, 3, 5, 2, 3, 5, 3, 5, 7, 2, 5, 7, 3, 7, 2, 3, 5, 7, 5, 7, 11, 2, 3, 5, 7, 11, 3, 5, 11, 13, 2, 7, 11, 13, 3, 5, 7, 11, 13, 2, 3, 5, 7, 11, 13, 5, 7, 11, 13, 17, 2, 3, 5, 7, 11, 13, 17, 3, 7, 11, 13, 17, 19, 2, 5, 11, 13, 17, 19, 3, 5, 7, 13, 17, 19, 2, 3, 5, 7, 11, 13, 17, 19, 5, 7, 11, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Array's n-th row contains A048865(n) terms. T(A005408(n),1) = 2; T(n,1) = A053669(n). - Reinhard Zumkeller, Sep 23 2011 These are the primes in row n >= 3 of A038566 (smallest positive restricted residue system modulo n). - Wolfdieter Lang, Jan 18 2017 LINKS Michael De Vlieger, Table of n, a(n) for n = 3..16603 (rows 3 <= n <= 400). EXAMPLE Row 9 is [2, 5, 7], since 2, 5 and 7 are the primes < 9 and coprime to 9. The irregular triangle begins: n\k 1 2  3  4  5  6  7  8 ... 3:  2 4:  3 5:  2 3 6:  5 7:  2 3  5 8:  3 5  7 9:  2 5  7 10: 3 7 11: 2 3  5  7 12: 5 7 11 13: 2 3  5  7 11 14: 3 5 11 13 15: 2 7 11 13 16: 3 5  7 11 13 17: 2 3  5  7 11 13 18: 5 7 11 13 17 19: 2 3  5  7 11 13 17 20: 3 7 11 13 17 19 21: 2 5 11 13 17 19 22: 3 5  7 13 17 19 23: 2 3  5  7 11 13 17 19 ... - Wolfdieter Lang, Jan 18 2017 MATHEMATICA f[l_] := Block[{n}, n = Length[l] + 1; Return[Append[l, Select[Range[n - 1], PrimeQ[ # ] && Mod[n, # ] > 0 &]]]; ]; Flatten[Nest[f, {}, 24]] (* Ray Chandler, Dec 26 2005 *) Table[Complement[Prime@ Range@ PrimePi@ n, FactorInteger[n][[All, 1]]], {n, 3, 23}] // Flatten (* Michael De Vlieger, Sep 04 2017 *) PROG (Python) from sympy import primerange, gcd def a(n): return [i for i in primerange(1, n) if gcd(i, n)==1] for n in range(3, 24): print(a(n)) # Indranil Ghosh, Apr 27 2017 CROSSREFS Cf. A038566, A048865, A053669. Sequence in context: A114868 A249049 A138239 * A174063 A327277 A124459 Adjacent sequences:  A112481 A112482 A112483 * A112485 A112486 A112487 KEYWORD nonn,tabf AUTHOR Leroy Quet, Dec 13 2005 EXTENSIONS Extended by Ray Chandler, Dec 26 2005 STATUS approved

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Last modified June 20 09:51 EDT 2021. Contains 345162 sequences. (Running on oeis4.)