In the American game show 500 Questions, the contestant has to answer 500 questions without three consecutive wrongs. The number of ways of doing so is OEIS A000073(503) = 2402451657491850567354565640196547276147523873779598669726101549076571803534558391462069409225471629969837385870717715452214538632453.

Its prime factorization is 47 × 26924861 × 710978837 × 1097335087 × C106, where C106 is the 106-digit composite number 2433365744655561865013474539866013940047520109676310298085621021304331700162177266652179748060769116108261.

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