Some problems can be *solved* quickly. “What is 114889 times 288689?”, for example.
Some problems can be *checked* quickly. “Is 33167190521 the result of multiplying the two prime numbers 114889 and 288689?”, for example.
Some problems which can be *checked* quickly, cannot be *solved* quickly. “Which two prime numbers did I multiply together to get 33167190521?”, for example.
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