If one starts with p=2 and goes through the primes above 11:
clc
p=2;
v=p^6-7*p^2+6;
g=v;
disp ([p,g,v])
while p<40
p=nextprime(p+1);
v=p^6-7*p^2+6;
g=gcd(g,v);
disp ([p,g,v])
end
p GCD p^6 - 7p^2 + 6
2 42 42
3 42 672
5 42 15456
7 6 117312
11 6 1770720
13 6 4825632
17 6 24135552
19 6 47043360
23 6 148032192
29 6 594817440
31 6 887496960
the GCD seems to level at 6.
If one starts at 11
clc
p=11;
v=p^6-7*p^2+6;
g=v;
disp ([p,g,v])
while p<40
p=nextprime(p+1);
v=p^6-7*p^2+6;
g=gcd(g,v);
disp ([p,g,v])
end
11 1770720 1770720
13 672 4825632
17 672 24135552
19 672 47043360
23 672 148032192
29 672 594817440
31 672 887496960
the GCD seems to level at 672.
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Posted by Charlie
on 2024-05-03 11:10:23 |
I don't know the interpretation.
