Prime Permutation
y.kohmoto
zbi74583 at boat.zero.ad.jp
Fri Aug 13 11:54:08 CEST 2004
Neil :
Thanks for adding my sequences on OEIS.
Comment lines of A096450 should be as follows :
%C A096450 If prime(n-1) = +1 or +2 mod 5 is on k-th row then we put
prime(n) on (k-1)-st row.
%C A096450 If prime(n-1) = -1 or -2 mod 5 is on k-th row then we put
prime(n) on (k+1)-st row.
"+2" and "-2" are lacked.
I tried to rewrite the definition.
It is a little mathematic, but I think the first one is much easier to
understand that it becomes an array.
%S A096447 3, 7, 19, 43,
%N A096447 Prime(m) : Sum {Sgn(Prime(k)) , k=2 to m-1}=0
Where the function Sgn(p) is defined as follows :
If p= 1 , mod 4, then Sgn(p)=-1
If p=-1 , mod 4, then Sgn(p)= 1
a(1)=3
%e A096447 The case m=4 : Sum {Sgn(Prime(k)) , k=2 to
4-1}=Sgn(Prime(2))+Sgn(Prime(3))=Sgn(3)+Sgn(5)=1+(-1)=0 : So, Prime(4)=7 is
on the sequence.
%K A096447 nonn
%O A096447 3, 1
Yasutoshi
PS
"OEIS 100K Party" is a good idea!!
I don't feel I send my photo, because a friend of mine once said "You
looks like a phantom."
If I will get a good photo, I might send it.
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