login
Table(n,j) of the least k such that k*P(n)#/210-j and k*P(n)#/210-j+8 are consecutive primes, for n > 4 and j=7 to 1.
1

%I #6 Feb 13 2013 11:02:17

%S 36,37,44,33,64,41,180,60,43,92,39,118,11,30,30,5,178,183,86,91,204,

%T 60,131,82,165,56,67,450,450,97,314,21,16,65,120,60,53,82,321,2,85,54,

%U 120,113,1258,621,2,115,144,240,305,34,33,344,25,1314,300,277,134,903,1252

%N Table(n,j) of the least k such that k*P(n)#/210-j and k*P(n)#/210-j+8 are consecutive primes, for n > 4 and j=7 to 1.

%C This is a fixed-width table, read by rows, with 7 columns, numbered j=7,6,...1. Since it is not an infinite square array or triangular table, the keyword "tabf" applies.

%C See the main entry A098078 for more information. - _M. F. Hasler_, Feb 13 2013

%e For n=5, P(5)#/210=11, and

%e 36*11-7=389 and 397 are consecutive primes with gap of 8,

%e 37*11-6=401 and 409 are consecutive primes with gap of 8,

%e 44*11-5=479 and 487 are consecutive primes with gap of 8,

%e 33*11-4=359 and 367 are consecutive primes with gap of 8,

%e 64*11-3=701 and 709 are consecutive primes with gap of 8,

%e 41*11-2=449 and 457 are consecutive primes with gap of 8,

%e 180*11-1=1979 and 1987 are consecutives primes with gap of 8,

%e so the (first) row, for n=5, is: 36 37 44 33 64 41 180

%e The second row, for n=6, is: 60 43 92 39 118 11 30, and so on.

%K nonn,tabf

%O 5,1

%A _Pierre CAMI_, Sep 13 2004

%E Edited by _M. F. Hasler_, Feb 13 2013