def testFailure(self):
self.assertFalse(euler.isPentagonal(2))
self.assertFalse(euler.isPentagonal(3))
self.assertFalse(euler.isPentagonal(4))
self.assertFalse(euler.isPentagonal(21))
self.assertFalse(euler.isPentagonal(91))
self.assertFalse(euler.isPentagonal(118))
def testSuccess(self):
self.assertTrue(euler.isPentagonal(1))
self.assertTrue(euler.isPentagonal(5))
self.assertTrue(euler.isPentagonal(12))
self.assertTrue(euler.isPentagonal(22))
self.assertTrue(euler.isPentagonal(92))
self.assertTrue(euler.isPentagonal(145))
import euler as e
num = 0
diff = 1
while True:
num += diff
if e.isPentagonal(num) and e.isHexagonal(num) and num > 40755:
print num
break
diff += 1
from euler import isPentagonal
found = False
i = 0
while not found:
i += 1
pi = i*(3*i-1)/2
for j in xrange(1, i):
pj = j*(3*j-1)/2
if isPentagonal(pi-pj) and isPentagonal(pi+pj):
found = True
break
print pi-pj
