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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 equal to OEIS A000073(503), whose 133-digits long decimal expansion is:

2,402,451,657,491,850,567,354,565,640,196,547,276,147,523,873,779,598,669,726,101,549,076,571,803,534,558,391,462,069,409,225,471,629,969,837,385,870,717,715,452,214,538,632,453

Its prime factorization is 47 × 26,924,861 × 710,978,837 × 1,097,335,087 × 2,841,931,390,658,880,917 × 1,921,556,621,777,763,745,890,682,548,074,827 × 445,595,313,759,066,823,302,827,395,343,664,216,753,655,271,182,860,179.

See alsoEdit