def main():
import sympy
import p37_Truncatable_primes as p37
lucky_prime = 0
plist = []
for i in range(2, 10):
plist = pandigital_list(i)
for j in plist[:]:
if p37.is_prime(j) and lucky_prime < j:
lucky_prime = j
print(lucky_prime)
def main():
i = 1
x = 1
np = 0
N = 1
while True:
i = i + 1
for j in range(0,3):
x = x + 2 * i - 2
if p37.is_prime(x):
np = np + 1
x = x + 2 * i - 2
N = N + 4
if np / N < 0.1:
print(i * 2 - 1)
return
def main():
import sympy
plist = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31]
i = 33
while True:
i = i + 2
if p37.is_prime(i):
plist.append(i)
else:
local_list = [(i - j) // 2 for j in plist]
for k in local_list:
if is_square(k):
print(i, "woo...")
break
else:
print(i, "is the final number.")
break
def main(n):
import sympy as sp
for i in sp.primerange(100000, 1000000):
digi_last = i % 10
s = str(i//10)
# if len(set(s)) > 3:
# continue
for c in range(0, 2):
if s.count(str(c)) == 3:
count = 0
local_list = []
for d in range(c, 10):
new_s = s.replace(str(c), str(d))
new_digi = int(new_s) * 10 + digi_last
if p37.is_prime(new_digi):
count = count + 1
local_list.append(new_digi)
if count == n:
print("the lucky one:", i)
print(local_list)
return
print(local_list)
if s.count(str(c)) == 4:
count = 0 # Replace the last one
local_list = []
for d in range(c, 10):
new_s = s.replace(str(c), str(d), 3)
new_digi = int(new_s) * 10 + digi_last
if p37.is_prime(new_digi):
count = count + 1
local_list.append(new_digi)
if count == n:
print("the lucky one:", i)
print(local_list)
return
print(local_list)
count = 0 # Replace the second one
local_list = []
for d in range(c, 10):
new_s = s.replace(str(c), str(d), 1)
new_s = new_s.replace(str(c), 'a', 1)
new_s = new_s.replace(str(c), str(d), 2)
new_s = new_s.replace('a', str(c), 1)
new_digi = int(new_s) * 10 + digi_last
if p37.is_prime(new_digi):
count = count + 1
local_list.append(new_digi)
if count == n:
print("the lucky one:", i)
print(local_list)
return
print(local_list)
count = 0 # Replace the third one
local_list = []
for d in range(c, 10):
new_s = s.replace(str(c), str(d), 2)
new_s = new_s.replace(str(c), 'a', 1)
new_s = new_s.replace(str(c), str(d), 1)
new_s = new_s.replace('a', str(c), 1)
new_digi = int(new_s) * 10 + digi_last
if p37.is_prime(new_digi):
count = count + 1
local_list.append(new_digi)
if count == n:
print("the lucky one:", i)
print(local_list)
return
print(local_list)
count = 0 # Replace the third one
local_list = []
for d in range(c, 10):
new_s = s.replace(str(c), 'a', 1)
new_s = new_s.replace(str(c), str(d), 3)
new_s = new_s.replace('a', str(c), 1)
new_digi = int(new_s) * 10 + digi_last
if p37.is_prime(new_digi):
count = count + 1
local_list.append(new_digi)
if count == n:
print("the lucky one:", i)
print(local_list)
return
print(local_list)
else:
continue