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(another Prime Pages' Curiosity)
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+ 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]

+ The smallest Fibonacci prime whose index is a perfect number. [Pol]

+ "The triangular theorem of eight and non-finiteness results for quadratic polynomials" by Wieb Bosma and Ben Kane conjectures that the largest of all values in a sequence related to Universal Quadratic Forms, the representability of integers as sums of triangular numbers, and the 290-Theorem, is 233. [Post]

+ If A=1, B=2, C=3..., Z=26 then 'A RIGHT-TRUNCATABLE PRIME' is a right-truncatable prime. [Homewood]

+ The smallest prime-digit prime that is the sum of three prime-digit primes (3+7+223). [Loungrides]

(There are 4 curios for this number that have not yet been approved by an editor.)




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