added files

.gitignore

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+# ---> Python
+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[cod]
+*$py.class
+
+# C extensions
+*.so
+
+# Distribution / packaging
+.Python
+env/
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+
+# PyInstaller
+#  Usually these files are written by a python script from a template
+#  before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*,cover
+.hypothesis/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# pyenv
+.python-version
+
+# celery beat schedule file
+celerybeat-schedule
+
+# SageMath parsed files
+*.sage.py
+
+# dotenv
+.env
+
+# virtualenv
+.venv
+venv/
+ENV/
+
+# Spyder project settings
+.spyderproject
+
+# Rope project settings
+.ropeproject
+desktop.ini
+

Factorize.py

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+import saveto
+from math import log
+from math import factorial
+primes = tuple(saveto.load('primes'))
+print('Made tuple')
+def factor(c):
+    output = {}
+    if c in primes:
+            output = {c:1}
+    else:
+        n = c
+        count_0 = 0
+        while n != 1:
+            while n%primes[count_0] != 0:
+                count_0 += 1
+            b = primes[count_0]
+            p = round(log(n,b))
+            while n%(b**p) != 0:
+                p -= 1
+            n /= b**p
+            count_0 += 1
+            if p > 0:
+                output[b] = int(p)
+    return output
+##output = [{0:1},{1:1}]
+##for i in range(2,30):
+##    output.append(factor(i))
+##    if i%1000 == 0:
+##        print(i)
+##print(output)
+##print('{:,}'.format(primes[-1]))

f.py

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+from math import log
+import sys
+sys.path.insert(0,'X:\\Users\\Raphael\\Documents\\primes\\')
+from prime_loader import get_prime
+p_list = []
+for i in range(10**3):
+    p_list += get_prime(i*10**6)
+
+
+def factor(n,skip = False):
+    f = {}
+    if n in p_list and not skip:
+        f[n] = 1
+        return f
+    for p in p_list:
+        if n%p == 0:
+            max_p = int(log(n,p))
+            for i in range(max_p,-1,-1):
+                if n%(p**i) == 0:
+                    f[p] = i
+##                    print('{}**{}'.format(p,f[p]))
+                    n //= p**i
+                    break
+        if n == 1:
+            return f
+def ff(n):
+    main = {}
+    for i in range(2,n+1):
+        l = factor(i)
+        for p in l.keys():
+            try:
+                main[p] += l[p]
+            except KeyError:
+                main[p] = l[p]
+    return main
+def prod(val,func = lambda x:x):
+    v = 1
+    for i in val:
+        v *= func(i)
+    return v
+def toitent(n):
+    f = factor(n)
+    c = n//prod(f.keys())
+    return c*prod(f.keys(),lambda x: x-1)
+