233 is an interesting Fibonacci prime. If divided by the Fibonacci number 144, it approximates the golden ratio.
The smallest prime factor of 229 - 1.
2233 - 3 is prime. [Kulsha]
Describing 233 and repeating the process with each new term produces five more primes, i.e., "one 2, two 3's," generates 1223, etc. [Rivera]
Neil J. A. Sloane, editor-in-chief of the On-Line Encyclopedia of Integer Sequences, works at AT&T Shannon Laboratories in room C233.
The only known multidigit Fibonacci prime whose digits are all Fibonacci primes. [Gupta]
The only known Fibonacci prime whose sum of digits is a Fibonacci number. [Russo]
"Pascal's Wager" appears in Pensées 233.
Had Ray Bradbury used the metric system, he may have called his novel "Celsius 233." [Hartley]
Claimed to be the first book with no verbs, The Train from Nowhere by Michel Thaler (a pseudonym) has 233 pages. [Opao]
233 is the final chapter of The Curious Incident of the
Dog in the Night-Time by Mark Haddon, which uses all
prime numbers for its chapters.
233+(2+3+3), 233+2*3*3, and 233+2^3*3 are consecutive primes. [Silva]
The smallest prime in base 3 whose sum of digits is
composite.
The smallest magic constant of a 5-by-5 prime
magic square:
41 11 79 19 83
31 67 29 89 17
61 59 05 71 37
97 53 13 47 23
03 43 107 07 73
Note that this solution includes all the twenty-four
odd primes below hundred (Andrew Lelechenko, 2009). [Beedassy]
Jewel Cave in South Dakota contains 233 kilometers of
mapped passageways. [Robinette]
The largest known Fibonacci prime with exactly two
different digits. Note the first two primes. [Capelle]
233 is the sum of the squares of first four semiprimes. Note that its reversal is the sum of the squares of three consecutive even semiprimes: 332 = 6^2 + 10^2 + 14^2. [Silva]
2*3*5* ... *prime(233 - 1) = prime(233) - 1 (mod prime(233)). Note that 233 is the smallest known prime with this property and there exist only one other known such prime. [Firoozbakht]
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