|
|
A093742
|
|
Number of prime pairs below 10^n having a difference of 14.
|
|
2
|
|
|
0, 0, 7, 54, 484, 4233, 35394, 293201, 2464565, 20943953, 179718000, 1556469349, 13597962107, 119731244640, 1061769557793, 9476573902533, 85076550195696, 767846949916102
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
LINKS
|
|
|
EXAMPLE
|
a(3) = 7 because there are 7 prime gaps of 14 below 10^3.
|
|
PROG
|
(UBASIC) 20 N=1:dim T(34); 30 A=nxtprm(N); 40 N=A; 50 B=nxtprm(N); 60 D=B-A; 70 for x=2 to 34 step 2; 80 if D=X and B<10^2+1 then T(X)=T(X)+1; 90 next X; 100 if B>10^2+1 then 140; 110 B=A; 120 N=N+1; 130 goto 30; 140 for x=2 to 34 step 2; 150 print T(X); , 160 next (This program simultaneously finds values from 2 to 34 -- if gap=2 add 1-- adjust lines 80 and 100 for desired 10^n)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
a(14)-a(18) from S. Herzog's website added by Giovanni Resta, Aug 14 2018
|
|
STATUS
|
approved
|
|
|
|