In the 1980s, Samuel Yates defined a titanic prime to be a prime number of at least 1000 decimal digits. The smallest titanic prime is 10^999 + 7. As of 1990, more than 1400 were known. By 1995, more than 10000 were known, and many tens of thousands are known today. The largest known prime number as of October 2024 is the Mersenne prime 2^136279841 - 1, which has a whopping 41024320 decimal digits. The first few titanic primes are 10^999 + n for n = 7, 663, 2121, 2593, 3561, 4717, 5863, 9459, 11239, ... (OEIS A074282).
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