[seqfan] Prime is not random
zbi74583.boat at orange.zero.jp
zbi74583.boat at orange.zero.jp
Thu May 12 04:33:30 CEST 2016
Hi,Seqfans
Prime is not random
For example see A103271
The randomness of A103270 is much smaller than A103271
Could anyone compute more terms?
More non random sequence
a(n)=Prime(n)+Prime(n-k) Mod 4, where k=1/2*(Prime(n)-Prime(n-1))
a(n) : 0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0
OFFSET 5
Two random sequences whose formula look like A103270 and a(n)
See A103272
b(n)=Prime(n)+Prime(n+k) Mod 4, where k=1/2*(Prime(n)-Prime(n-1))
b(n): 0,2,0,2,0,2,2,2,0,0,0,2,2,0,2,0,2,2,0
OFFSET 5
More non random sequences
c(n)=Prime(m+k) Mod 4 , where Prime(m)=F(n) , k=1/2*(Prime(m+1)-Prime(m))
where F(n) is n-th Prime which is 1 Mod 4
c(n): 3,3,3,3,3,3,3,1,1,3,3,3
d(n)=Prime(m+k) Mod 4 , where Prime(m)=G(n) , k=1/2*(Prime(m+1)-Prime(m))
where G(n) is n-th Prime which is 3 Mod 4
d(n): 1,1,1,1,1,3,1,1,1,1,1,1,1,1
Yasutoshi
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