Add a pseudoprime number test case.

Test.assert_equals(number_property(341),[False,False,False])

Maybe

for i in range(a,b): a+=(i+1)
...
for i in range(b,a): b+=(i+1)

Error.

two squared consecutive triangular numbers

Testing for 820
It should work for random inputs too: True should equal False

-2^6 (= 64) + -2^3 (= -8) + -2^2 (= 4) + -2^0 (= 1) = 61 (from Binary 1001101).

From right to left.

'From binary: 1001101 is 61'

for i in xrange(a/n,n):

to

for i in xrange(a/n,n+2):