def test_primepi():
assert primepi(1) == 0
assert primepi(2) == 1
assert primepi(5) == 3
assert primepi(11) == 5
assert primepi(57) == 16
assert primepi(296) == 62
assert primepi(559) == 102
assert primepi(3000) == 430
assert primepi(4096) == 564
assert primepi(9096) == 1128
assert primepi(25023) == 2763
def test_primepi():
assert primepi(1) == 0
assert primepi(2) == 1
assert primepi(5) == 3
assert primepi(11) == 5
assert primepi(57) == 16
assert primepi(296) == 62
assert primepi(559) == 102
assert primepi(3000) == 430
assert primepi(4096) == 564
assert primepi(9096) == 1128
assert primepi(25023) == 2763
assert primepi(10**8) == 5761455
assert primepi(253425253) == 13856396
assert primepi(8769575643) == 401464322
def test_primepi():
assert primepi(1) == 0
assert primepi(2) == 1
assert primepi(5) == 3
assert primepi(11) == 5
assert primepi(57) == 16
assert primepi(296) == 62
assert primepi(559) == 102
assert primepi(3000) == 430
assert primepi(4096) == 564
assert primepi(9096) == 1128
assert primepi(25023) == 2763
def test_primepi():
assert primepi(-1) == 0
assert primepi(1) == 0
assert primepi(2) == 1
assert primepi(Rational(7, 2)) == 2
assert primepi(3.5) == 2
assert primepi(5) == 3
assert primepi(11) == 5
assert primepi(57) == 16
assert primepi(296) == 62
assert primepi(559) == 102
assert primepi(3000) == 430
assert primepi(4096) == 564
assert primepi(9096) == 1128
assert primepi(25023) == 2763
assert primepi(10**8) == 5761455
assert primepi(253425253) == 13856396
assert primepi(8769575643) == 401464322
sieve.extend(3000)
assert primepi(2000) == 303
n = Symbol('n')
assert primepi(n).subs(n, 2) == 1
r = Symbol('r', real=True)
assert primepi(r).subs(r, 2) == 1
assert primepi(S.Infinity) is S.Infinity
assert primepi(S.NegativeInfinity) == 0
assert limit(primepi(n), n, 100) == 25
raises(ValueError, lambda: primepi(I))
raises(ValueError, lambda: primepi(1 + I))
raises(ValueError, lambda: primepi(zoo))
raises(ValueError, lambda: primepi(nan))