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 . As of 1990, more than 1400 were known (Ribenboim
1990). By 1995, more than
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
decimal digits.
The first few titanic primes are for , 663, 2121, 2593, 3561, 4717, 5863, 9459, 11239, ... (OEIS
A074282).
Caldwell, C. "The Ten Largest Known Primes." http://www.utm.edu/research/primes/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. http://mersenne.org/m45and46.htm.Morain,
F. "Elliptic Curves, Primality Proving and Some Titanic Primes." Astérique198-200,
245-251, 1992.Ribenboim, P. The
Little Book of Big Primes. Berlin: 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. http://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 
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
decimal digits.
for 
, 663, 2121, 2593, 3561, 4717, 5863, 9459, 11239, ... (OEIS
A074282).
