A titanic prime is a prime number of at least 1000 decimaldigits, a term introduced
by Yates (1983-84). The smallest titanic prime is . As of 1990, more than 1400 were known (Ribenboim
1990). By 1995, more than 10,000 were known, and many tens of thousands are known
today. The largest known prime number as of October
2024 is the Mersenne prime, which has a whopping 41,024,320 decimaldigits.
The first few titanic primes are for , 663, 2121, 2593, 3561, 4717, 5863, 9459, 11239, ... (OEIS
A074282).
Caldwell, C. "The Ten Largest Known Primes." https://t5k.org/largest.html#largest.Lifchitz,
H. and Lifchitz, R. "PRP Records: Probable Primes Top 10000." http://www.primenumbers.net/prptop/prptop.php.Mersenne
Organization. "Titanic Primes Raced to Win $100,000 Research Award." Sep. 15,
2008. https://www.mersenne.org/primes/?press=M43112609.Morain,
F. "Elliptic Curves, Primality Proving and Some Titanic Primes." Astérisque198-200,
245-251, 1991.Ribenboim, P. The
Little Book of Big Primes. Berlin, Germany: Springer-Verlag, p. 97,
1990.Sloane, N. J. A. Sequence A074282
in "The On-Line Encyclopedia of Integer Sequences."Weisstein,
E. W. "44th Mersenne Prime Found." MathWorld Headline News,
Sep. 11, 2006. https://mathworld.wolfram.com/news/2006-09-11/mersenne-44/.Yates,
S. "Titanic Primes." J. Recr. Math.16, 250-262, 1983-84.Yates,
S. "Sinkers of the Titanics." J. Recr. Math.17, 268-274,
1984-85.Yates, S. "Collecting Gigantic and Titanic Primes."
J. Recr. Math.24, 193-201, 1992.
. As of 1990, more than 1400 were known (Ribenboim
1990). By 1995, more than 10,000 were known, and many tens of thousands are known
today. The largest known prime number as of October
2024 is the Mersenne prime 
, which has a whopping 41,024,320 decimal digits.
for 
, 663, 2121, 2593, 3561, 4717, 5863, 9459, 11239, ... (OEIS
A074282).
