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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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def isPrime(n):
if n < 2:
return False
if n % 2 == 0:
return n == 2
if n % 3 == 0:
return n == 3
d = 5
while d * d <= n:
if n % d == 0:
return False
d += 2
if n % d == 0:
return False
d += 4
return True
def generatePrimes():
yield 2
yield 3
p = 5
while p > 0:
if isPrime(p):
yield p
p += 2
if isPrime(p):
yield p
p += 4
g = generatePrimes()
transMap = {}
prev = None
limit = 1000000
for _ in xrange(limit):
prime = next(g)
if prev:
transition = (prev, prime %10)
if transition in transMap:
transMap[transition] += 1
else:
transMap[transition] = 1
prev = prime % 10
print "First {:,} primes. Transitions prime % 10 > next-prime % 10.".format(limit)
for trans in sorted(transMap):
print "{0} -> {1} count {2:5} frequency: {3}%".format(trans[0], trans[1], transMap[trans], 100.0 * transMap[trans] / limit)