# Find the next number after 40755 that is:
# trangular, pentagonal, and hexagonal
from eulermath import tri, pent, hex, istri, ispent, ishex
# Testing - print out numbers and check them
# for i in range(40):
# print "%d ist? %d isp? %d ish? %d" % (i,istri(i), ispent(i), ishex(i))
if __name__ = "__main__":
# Hexagonal numbers have the largest jumps in them,
# start with H(143) and go up
n = 143 # for testing set below 143 and see if it finds H(143)
found = False
while not found:
n += 1
Hn = hex(n)
# There are fewer pentagonal numbers than triangular
if ispent(Hn):
if istri(Hn):
found = True
tn = istri(Hn)
pn = ispent(Hn)
print "The next triangular, pengagonal, and hexagonal number is:"
print "\t\tT(%d) = T(%d) = H(%d) = %d" % (tn, pn, n, Hn)
