This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A279399 Irregular triangle read by rows. Row n gives the primes of the smallest positive restricted residue system modulo A033949(n). 3
 3, 5, 7, 5, 7, 11, 2, 7, 11, 13, 3, 5, 7, 11, 13, 3, 7, 11, 13, 17, 19, 2, 5, 11, 13, 17, 19, 5, 7, 11, 13, 17, 19, 23, 3, 5, 11, 13, 17, 19, 23, 7, 11, 13, 17, 19, 23, 29, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 2, 5, 7, 13, 17, 19, 23, 29, 31, 2, 3, 11, 13, 17, 19, 23, 29, 31, 5, 7, 11, 13, 17, 19, 23, 29, 31, 2, 5, 7, 11, 17, 19, 23, 29, 31, 37, 3, 7, 11, 13, 17, 19, 23, 29, 31, 37 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The length of row n is given by A279400(n) For the restricted residue systems modulo n see A038566. For the primes of A038566 (for n >= 3) see A112484. The primes of the restricted residue system modulo the (composite) positive numbers without a primitive root, given in A033949, are of interest for the determination of the Dirichlet characters modulo the A033949 numbers. For prime numbers (A000040) or for composite positive numbers that have prime primitive roots (A279398) the Dirichlet characters are determined from those of the prime primitive root. LINKS FORMULA Row n of T is given by the primes of row A033949(n) of A038566, for  n >= 1. T(n, k) = A112484(A033949(n), k), n >= 1, k = 1..A279400(n). EXAMPLE The triangle T(n, k) begins (here N = A033949(n)): n,   N \ k 1  2  3  4  5  6  7  8  9 10 ... 1,   8:    3  5  7 2,  12:    5  7 11 3,  15:    2  7 11 13 4,  16:    3  5  7 11 13 5,  20:    3  7 11 13 17 19 6,  21:    2  5 11 13 17 19 7,  24:    5  7 11 13 17 19 23 8,  28:    3  5 11 13 17 19 23 9,  30:    7 11 13 17 19 23 29 10, 32:    3  5  7 11 13 17 19 23 29 31 11, 33:    2  5  7 13 17 19 23 29 31 12, 35:    2  3 11 13 17 19 23 29 31 13, 36:    5  7 11 13 17 19 23 29 31 14, 39:    2  5  7 11 17 19 23 29 31 37 15, 40:    3  7 11 13 17 19 23 29 31 37 ... CROSSREFS Cf. A000040, A033949, A038566, A112484, A279398, A279400, A279401. Sequence in context: A238205 A186702 A141710 * A321784 A225889 A070647 Adjacent sequences:  A279396 A279397 A279398 * A279400 A279401 A279402 KEYWORD nonn,tabf AUTHOR Wolfdieter Lang, Jan 25 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 15 03:09 EDT 2019. Contains 328025 sequences. (Running on oeis4.)