Solve 133 and 134.

python/e133.py

@@ -0,0 +1,23 @@
+from lib_prime import primes
+
+
+def r_modulo_closed_form(n, m):
+    assert n > 0 and m > 0
+    return ((pow(10, n, 9 * m) - 1) // 9) % m
+
+
+def euler_132():
+    n = 10**20
+    r = 0
+    for p in primes(100_000):
+        if r_modulo_closed_form(n, p) == 0:
+            pass
+        else:
+            r += p
+    return r
+
+
+if __name__ == "__main__":
+    solution = euler_132()
+    print("e132.py: " + str(solution))
+    assert solution == 453647705

python/e134.py

@@ -0,0 +1,40 @@
+from lib_prime import primes
+from math import log, ceil
+
+
+def s(p1, p2):
+    p1l = ceil(log(p1, 10))
+    base = 10**p1l
+    for lhs in range(base, 10**12, base):
+        r = lhs + p1
+        if r % p2 == 0:
+            return r
+    assert False
+
+
+def s2(p1, p2):
+    # Invert, always invert ;)
+    p1l = ceil(log(p1, 10))
+    base = 10**p1l
+    c = p2
+    while True:
+        if c % base == p1:
+            return c
+        c += p2
+
+
+def euler_134():
+    r = 0
+    ps = primes(10**6 + 10) # p1 < 10**6 but p2 is the first p > 10**6 
+    for i in range(2, len(ps) - 1):
+        p1, p2 = ps[i], ps[i + 1]
+        sc = s(p1, p2)
+        r += sc
+    return r
+
+
+if __name__ == "__main__":
+    solution = euler_134()
+    print("e134.py: " + str(solution))
+    assert solution == 18613426663617118
+