## FANDOM

10,413 Pages

pete-8.c is one of the nine entries an anonymous "Pete" submitted to Bignum Bakeoff.[1] It was a failed attempt at improving upon Pete's largest entry, pete-7.c, and it produces a much smaller number than pete-7.c because the f(n) function Pete defines in this program has a bug which causes f(n), no matter what n equals, to equal the square of a previously defined number. It is almost identical to it successor, pete-9.c.

The output of pete-8.c can be precisely expressed as $$z^{16\cdot17^6}(999)$$, where $$z(n) = 9\cdot 2^n$$.

## Approximations in other notations

Notation Approximation
Up-arrow notation $$2 \uparrow\uparrow 386,201,107$$
Hyper-E notation $$E1\#386,201,107$$
Chained arrow notation $$2 \rightarrow 386,201,107 \rightarrow 2$$
Hyperfactorial array notation $$386,201,107!1$$
Fast-growing hierarchy $$f_3(386,201,107)$$
Hardy hierarchy $$H_{\omega^3}(386,201,107)$$
Slow-growing hierarchy $$g_{\varepsilon_0}(386,201,107)$$

## Code

#define Z (9<<(9<<
#define Y Z Z Z Z Z Z Z Z
#define W ))))))))))))))))

#define Q Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y
#define O W W W W W W W W W W W W W W W W W

#define P Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q
#define M O O O O O O O O O O O O O O O O O

#define L P P P P P P P P P P P P P P P P P
#define K M M M M M M M M M M M M M M M M M

#define H L L L L L L L L L L L L L L L L L
#define J K K K K K K K K K K K K K K K K K

#define A H H H H H H H H H H H H H H H H H
#define D J J J J J J J J J J J J J J J J J

#define X A A A A A A A A A A A A A A A A A 999 D D D D D D D D D D D D D D D D D

int B = X;

f(int* a)
{
int C = B, b[X], n = X;

while(n--)
b[n] = a[n];
if(b[n = X - 1]--)
while(C--)
B = f(b);
while(n && !(b[n] = B, b[--n]--))
;
return n ? f(b) : B * B;
}

main()
{
int a[X] = {X};

return f(a);
}

## Sources

1. http://djm.cc/bignum-results.txt