Data commit

Task/Ludic-numbers/Python/ludic-numbers-1.py

@@ -0,0 +1,22 @@
+def ludic(nmax=100000):
+    yield 1
+    lst = list(range(2, nmax + 1))
+    while lst:
+        yield lst[0]
+        del lst[::lst[0]]
+
+ludics = [l for l in ludic()]
+
+print('First 25 ludic primes:')
+print(ludics[:25])
+print("\nThere are %i ludic numbers <= 1000"
+      % sum(1 for l in ludics if l <= 1000))
+print("\n2000'th..2005'th ludic primes:")
+print(ludics[2000-1: 2005])
+
+n = 250
+triplets = [(x, x+2, x+6)
+            for x in ludics
+            if x+6 < n and x+2 in ludics and x+6 in ludics]
+print('\nThere are %i triplets less than %i:\n  %r'
+      % (len(triplets), n, triplets))

Task/Ludic-numbers/Python/ludic-numbers-2.py

@@ -0,0 +1,12 @@
+def ludic(nmax=64):
+    yield 1
+    taken = []
+    while True:
+        lst, nmax = list(range(2, nmax + 1)), nmax * 2
+        for t in taken:
+            del lst[::t]
+        while lst:
+            t = lst[0]
+            taken.append(t)
+            yield t
+            del lst[::t]

Task/Ludic-numbers/Python/ludic-numbers-3.py

@@ -0,0 +1,35 @@
+def ludic():
+    yield 1
+    ludics = []
+    while True:
+        k = 0
+        for j in reversed(ludics):
+            k = (k*j)//(j-1) + 1
+        ludics.append(k+2)
+        yield k+2
+def triplets():
+    a, b, c, d = 0, 0, 0, 0
+    for k in ludic():
+        if k-4 in (b, c, d) and k-6 in (a, b, c):
+            yield k-6, k-4, k
+        a, b, c, d = b, c, d, k
+
+first_25 = [k for i, k in zip(range(25), gen_ludic())]
+print(f'First 25 ludic numbers: {first_25}')
+count = 0
+for k in gen_ludic():
+    if k > 1000:
+        break
+    count += 1
+print(f'Number of ludic numbers <= 1000: {count}')
+it = iter(gen_ludic())
+for i in range(1999):
+    next(it)
+ludic2000 = [next(it) for i in range(6)]
+print(f'Ludic numbers 2000..2005: {ludic2000}')
+
+print('Ludic triplets < 250:')
+for a, b, c in triplets():
+    if c >= 250:
+        break
+    print(f'[{a}, {b}, {c}]')