Task: Strange unique prime triplets
C: #include <stdbool.h>
#include <stdio.h>
#include <string.h>

#define LIMIT 3000

void init_sieve(unsigned char sieve[], int limit) {
    int i, j;

    for (i = 0; i < limit; i++) {
        sieve[i] = 1;
    }
    sieve[0] = 0;
    sieve[1] = 0;

    for (i = 2; i < limit; i++) {
        if (sieve[i]) {
            for (j = i + i; j < limit; j += i) {
                sieve[j] = 0;
            }
        }
    }
}

void strange_unique_prime_triplets(unsigned char sieve[], int limit, bool verbose) {
    int count = 0, sum;
    int i, j, k, n, p;
    int pi, pj, pk;

    n = 0;
    for (i = 0; i < limit; i++) {
        if (sieve[i]) {
            n++;
        }
    }

    if (verbose) {
        printf("Strange unique prime triplets < %d:\n", limit);
    }

    for (i = 0; i + 2 < n; i++) {
        pi = 2;
        p = i;
        while (p > 0) {
            pi++;
            if (sieve[pi]) {
                p--;
            }
        }

        for (j = i + 1; j + 1 < n; j++) {
            pj = pi;
            p = j - i;
            while (p > 0) {
                pj++;
                if (sieve[pj]) {
                    p--;
                }
            }

            for (k = j + 1; k < n; k++) {
                pk = pj;
                p = k - j;
                while (p > 0) {
                    pk++;
                    if (sieve[pk]) {
                        p--;
                    }
                }

                sum = pi + pj + pk;
                if (sum < LIMIT && sieve[sum]) {
                    count++;
                    if (verbose) {
                        printf("%2d + %2d + %2d = %d\n", pi, pj, pk, sum);
                    }
                }
            }
        }
    }

    printf("Count of strange unique prime triplets < %d is %d.\n\n", limit, count);
}

int main() {
    unsigned char sieve[LIMIT];

    init_sieve(sieve, LIMIT);

    strange_unique_prime_triplets(sieve, 30, true);
    strange_unique_prime_triplets(sieve, 1000, false);

    return 0;
}

Java: import java.util.*;

public class StrangeUniquePrimeTriplets {
    public static void main(String[] args) {
        strangeUniquePrimeTriplets(30, true);
        strangeUniquePrimeTriplets(1000, false);
    }

    private static void strangeUniquePrimeTriplets(int limit, boolean verbose) {
        boolean[] sieve = primeSieve(limit * 3);
        List<Integer> primeList = new ArrayList<>();
        for (int p = 3; p < limit; p += 2) {
            if (sieve[p])
                primeList.add(p);
        }
        int n = primeList.size();
        
        int[] primes = new int[n];
        for (int i = 0; i < n; ++i)
            primes[i] = primeList.get(i);
        int count = 0;
        if (verbose)
            System.out.printf("Strange unique prime triplets < %d:\n", limit);
        for (int i = 0; i + 2 < n; ++i) {
            for (int j = i + 1; j + 1 < n; ++j) {
                int s = primes[i] + primes[j];
                for (int k = j + 1; k < n; ++k) {
                    int sum = s + primes[k];
                    if (sieve[sum]) {
                        ++count;
                        if (verbose)
                            System.out.printf("%2d + %2d + %2d = %2d\n", primes[i], primes[j], primes[k], sum);
                    }
                }
            }
        }
        System.out.printf("\nCount of strange unique prime triplets < %d is %d.\n", limit, count);
    }

    private static boolean[] primeSieve(int limit) {
        boolean[] sieve = new boolean[limit];
        Arrays.fill(sieve, true);
        if (limit > 0)
            sieve[0] = false;
        if (limit > 1)
            sieve[1] = false;
        for (int i = 4; i < limit; i += 2)
            sieve[i] = false;
        for (int p = 3; ; p += 2) {
            int q = p * p;
            if (q >= limit)
                break;
            if (sieve[p]) {
                int inc = 2 * p;
                for (; q < limit; q += inc)
                    sieve[q] = false;
            }
        }
        return sieve;
    }
}