Blum integer: Difference between revisions

Content added Content deleted
m (→‎{{header|Wren}}: use a different loop variable.)
(Added C)
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* OEIS sequence [[oeis:A016105|A016105: Blum integers]]
* OEIS sequence [[oeis:A016105|A016105: Blum integers]]
<br>
<br>
=={{header|C}}==
{{trans|Wren}}
<syntaxhighlight lang="c">#include <stdio.h>
#include <stdbool.h>
#include <locale.h>

bool isPrime(int n) {
if (n < 2) return false;
if (n%2 == 0) return n == 2;
if (n%3 == 0) return n == 3;
int d = 5;
while (d*d <= n) {
if (n%d == 0) return false;
d += 2;
if (n%d == 0) return false;
d += 4;
}
return true;
}

void primeFactors(int n, int *factors, int *length) {
if (n < 2) return;
int count = 0;
int inc[8] = {4, 2, 4, 2, 4, 6, 2, 6};
while (!(n%2)) {
factors[count++] = 2;
n /= 2;
}
while (!(n%3)) {
factors[count++] = 3;
n /= 3;
}
while (!(n%5)) {
factors[count++] = 5;
n /= 5;
}
for (int k = 7, i = 0; k*k <= n; ) {
if (!(n%k)) {
factors[count++] = k;
n /= k;
} else {
k += inc[i];
i = (i + 1) % 8;
}
}
if (n > 1) {
factors[count++] = n;
}
*length = count;
}

int main() {
int i = 1, j, bc = 0, length = 0;
int f[20], blum[50], counts[4] = {0}, digits[4] = {1, 3, 5, 7};
setlocale(LC_NUMERIC, "");
while (true) {
primeFactors(i, f, &length);
if (length == 2 && f[0] != f[1] && f[0] % 4 == 3 && f[1] % 4 == 3) {
if (bc < 50) blum[bc] = i;
++counts[i % 10 / 3];
++bc;
if (bc == 50) {
printf("First 50 Blum integers:\n");
for (j = 0; j < 50; ++j) {
printf("%3d ", blum[j]);
if (!((j+1) % 10)) printf("\n");
}
printf("\n");
} else if (bc == 26828 || !(bc % 100000)) {
printf("The %'7dth Blum integer is: %'9d\n", bc, i);
if (bc == 400000) {
printf("\n%% distribution of the first 400,000 Blum integers:\n");
for (j = 0; j < 4; ++j) {
printf(" %6.3f%% end in %d\n", counts[j]/4000.0, digits[j]);
}
break;
}
}
}
i = (i % 5 == 3) ? i + 4 : i + 2;
}
return 0;
}</syntaxhighlight>

{{out}}
<pre>
Same as Wren example.
</pre>

=={{header|Wren}}==
=={{header|Wren}}==
{{libheader|Wren-math}}
{{libheader|Wren-math}}