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File must have the following format:
Line 1: [optional #] type author year
Line 2: smaller member and factorization
Line 3: larger member and factorization
Line 4: empty
and so on...
Show sample
1 21 Pythagoras -500
220=2^2*5*11
284=2^2*71

2 X12 Paganini 1860
1184=2^5*37
1210=2*5*11^2

22 Euler 1747
2620=2^2*5*131
2924=2^2*17*43

22 Euler 1747
5020=2^2*5*251
5564=2^2*13*107

X21 Euler 1750
6232=2^3*19*41
6368=2^5*199