Data update

Task/Home-primes/Python/home-primes.py

@@ -0,0 +1,39 @@
+# home_primes.py by Xing216
+def primeFactors(n: int) -> list[int]:
+    primeFactorsL = []
+    while n % 2 == 0:
+        primeFactorsL.append(2)
+        n = n // 2
+    for i in range(3,int(n**0.5)+1,2):
+        while n % i== 0:
+            primeFactorsL.append(i)
+            n = n // i
+    if n > 2:
+        primeFactorsL.append(n)
+    return primeFactorsL
+def list_to_int(l: list[int]) -> int:
+    return int(''.join(str(i) for i in l))
+def home_prime_chain(i:int) -> list[int]:
+    pf_int = i
+    chain = []
+    while True:
+        pf = primeFactors(pf_int)
+        pf_int = list_to_int(pf)
+        if len(pf) == 1:
+            return chain
+        else:
+            chain.append(pf_int)
+for i in range(2,21):
+    chain_list = home_prime_chain(i)
+    chain_len = len(chain_list)
+    chain_idx_list = list(range(chain_len))[::-1]
+    j = chain_len
+    if chain_list != []:
+        print(f"HP{i}({chain_len}) =", end=" ")
+        for k,l in list(zip(chain_list, chain_idx_list)):
+            if l == 0:
+                print(f"{k}")
+            else:
+                print(f"HP{k}({l}) =", end=" ")
+    else:
+        print(f"HP{i}(1) = {i}")