generate all perfect number until 100...

[nn987]

someone asked how to calculate the perfect numbers until 100 .And know I don't find that person. But here it is .

%generate all perfect number until 100...
%Create perfect numbers

%divisible(10,2).
divisible(X,Y):- N is Y*Y,N =< X,X mod Y =:= 0.
divisible(X,Y):- Y < X, Y1 is Y + 1, divisible(X,Y1).


%isprime([3],Z).
isprime([X|_],X):-Y is 2, X >1, \+divisible(X,Y).
isprime([_|T],Z):-isprime(T,Z).


%Calculate the power of one number
%ie power(2,10,R)
power(_,0,1):-!.
power(N,K,R):-K1 is K-1,
power(N,K1,R1),
R is R1*N.


%formula of perfect numbers 2^(p-1)*(2^p-1)
%ie calc(2,10,R)
calc(2,K,R)ower(2,K,X),R1 is X-1,
power(2,K-1,R2),
R is R1 * R2.

%using lists
%ie calc([2,3,4],R).
listperf([K|_],R):-calc(2,K,R).
listperf([_|T],Z):-listperf(T,Z).


%generate one list of N numbers.
%genList(10,L).
generateList(0,[]).
generateList(N,[X|Xs]):- N > 0,
X is N+1,
N1 is N-1,generateList(N1,Xs).


%list of N perfect numbers
%perfect(100,C)
perfect(N,C):-generateList(N,R),findall(L,isprime(R,L),P),listperf(P,C).