login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A282063 A(n, k) = k-th Wilson prime p of order n with p >= n and k running over the positive integers. Square array read by antidiagonals. 0
5, 13, 2, 563, 3, 7 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A Wilson prime of order n is a prime p such that (n-1)!*(p-n)!-(-1)^n == 0 (modulo p^2).

LINKS

Table of n, a(n) for n=1..6.

Eric Weisstein's World of Mathematics, Wilson Prime

Wikipedia, Wilson prime

EXAMPLE

Array A(n, k) starts:

      5,   13,  563

      2,    3,   11,  107, 4931

      7

  10429

      5,    7,   47

     11

PROG

(PARI) is_wilson(n, order) = Mod((order-1)!*(n-order)!-(-1)^order, n^2)==0

table(rows, cols) = for(x=1, rows, my(i=0); forprime(p=x, , if(is_wilson(p, x), print1(p, ", "); i++; if(i==cols, print(""); break))))

table(4, 3) \\ print initial 4 rows and 3 columns of table

CROSSREFS

Cf. A007540 (row 1), A079853 (row 2), A152413 (row 17), A128666 (column 1).

Sequence in context: A073878 A164793 A065934 * A035412 A338985 A065865

Adjacent sequences:  A282060 A282061 A282062 * A282064 A282065 A282066

KEYWORD

nonn,hard,tabl,more

AUTHOR

Felix Fröhlich, Feb 05 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 19 16:50 EDT 2022. Contains 353847 sequences. (Running on oeis4.)