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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

Table of n, a(n) for n=1..41.

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.)