determinant of a curious class of (0,1) matrices

[spados at katamail.com]

What can you say about the conjecture below?

>%I A000001
>%S A000001 1, -1, -1, 0, 1, -1, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, -9, -25, 121, 64, \
>-576, -2304, 3600, 3136, -256, -144, 961, 24025, -47089, -345744, 1317904, \
>107584, -26896, -30976, 17424, 30976, -156025, -76729, 485809, 478864, \
>-36481, -837225, 5776, 517198564, -15791440896, -16404230241, 45746793225, \
>54331641, -29465095716
>%N A000001 a(n) is the determinant of the nXn matrix definided by m(i,j)=1 if i+j 
is a prime m(i,j)=0 otherwise.
>%C A000001 Conjecture: Abs(a(n)) is always a perfect square.
>%O A000001 1
>%K A000001 ,sign,
>%A A000001 Santi Spadaro (spados at katamail.com), Apr 19 2002
>RH 

Cheers,
Santi

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