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 A268491 Array T(n,k) = least integer congruent to prime(i) mod prime(i+1) for all k <= i <= k+n; n, k >= 1; read by upward diagonals. 0
 2, 8, 3, 68, 33, 5, 1118, 348, 40, 7, 2273, 2273, 271, 128, 11, 197468, 27298, 10281, 557, 115, 13, 1728998, 112383, 112383, 20005, 3209, 302, 17, 1728998, 1728998, 1728998, 666651, 87189, 5470, 226, 19, 447914738, 447914738, 16601856, 16601856, 2598191 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. J. Mathar, in reply to Z. Seidov, 11 related sequences, SeqFan list, Apr 14 2016 EXAMPLE The array reads: (See the original post on the SeqFan list for more data.)    n\k: 1       2        3        4        5          6          7          8    1    2,      3,       5,       7,       11,       13,        17,        19, ...    2    8,      33,     40,      128,      115,     302,        226,       226, ...    3   68,     348,     271,     557,     3209,     5470,       226,      6229, ...    4  1118,    2273,   10281,   20005,    87189,   12899,      88937,    709247 ...    5  2273,   27298,  112383,  666651,   2598191,  874663,    9124786,  3004394 ...    6 197468, 112383, 1728998, 16601856, 81018715, 154484096, 285307475, 34371403... MAPLE T := proc(n, k)     local lrem, leval, i ;     lrem := [] ;     leval := [] ;     for i from k to n+k-1 do         lrem := [op(lrem), ithprime(i+1)] ;         leval := [op(leval), ithprime(i)] ;     end do:     chrem(leval, lrem) ; end proc: seq(seq(T(d-k, k), k=1..d-1), d=2..12) ; # R. J. Mathar, Apr 14 2016 PROG (PARI) T(n, k)=lift(chinese(vector(n, i, Mod(prime(k+i-1), prime(k+i))))) concat(vector(10, n, vector(n, j, T(n-j+1, j)))) CROSSREFS A157752 is column k=1. -  R. J. Mathar, Apr 14 2016 The first terms of A319524 are the first terms of line n=2. - Alexandra Hercilia Pereira Silva, Sep 19 2020. Sequence in context: A282637 A256411 A218609 * A076588 A068565 A092042 Adjacent sequences:  A268488 A268489 A268490 * A268492 A268493 A268494 KEYWORD nonn,tabl AUTHOR M. F. Hasler, Apr 14 2016 STATUS approved

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)