%I #13 Oct 08 2023 08:58:45
%S 1,2,3,5,7,4,9,8,11,13,17,19,21,23,25,29,31,37,41,27,43,47,53,59,10,
%T 61,67,49,71,55,73,57,79,83,89,97,77,101,103,107,16,109,113,65,127,
%U 131,137,85,139,91,121,149,151,157,163,167,169,173,179,181,6,115,119,191,193,197
%N Square array A(n, k), n, k > 0, read and filled by upwards antidiagonals the greedy way with distinct positive integers such that any two distinct terms in the same row or column or antidiagonal are coprime.
%C This sequence is a variant of A284145 (with one less constraint).
%C All the prime numbers appear in the sequence, in ascending order.
%C For any prime number p, the first multiple of p in the sequence is p.
%C Will every positive integer appear in the sequence?
%H Rémy Sigrist, <a href="/A366030/a366030.png">Colored representation of the array for n, k <= 500</a> (grayish pixels correspond to prime numbers)
%H Rémy Sigrist, <a href="/A366030/a366030.gp.txt">PARI program</a>
%e Array A(n, k) begins:
%e n\k| 1 2 3 4 5 6 7 8 9 10
%e ---+-------------------------------------------------
%e 1| 1 3 4 13 25 43 49 97 127 163
%e 2| 2 7 11 23 27 67 89 65 157 193
%e 3| 5 8 21 41 61 83 113 151 191 221
%e 4| 9 19 37 10 79 109 149 119 239 281
%e 5| 17 31 59 57 16 121 115 233 203 347
%e 6| 29 53 73 107 91 6 229 277 337 125
%e 7| 47 55 103 139 181 161 12 331 323 463
%e 8| 71 101 85 179 209 271 317 18 403 259
%e 9| 77 137 173 227 269 95 377 461 24 613
%e 10| 131 169 223 187 313 397 457 437 185 32
%o (PARI) See Links section.
%Y Cf. A284145, A366031, A366303.
%K nonn,tabl
%O 1,2
%A _Rémy Sigrist_, Sep 26 2023