233
This number is a prime.
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]
The larger of only two primes less than a googol formed by concatenating a number n followed by n 3's. The other is 13. [Loungrides]
If A=1, B=2, C=3..., Z=26 then 'A RIGHT-TRUNCATABLE PRIME'
is a right-truncatable prime. [Homewood]
The sum of the first five distinct-digit reflectable primes {3, 13, 31, 83, 103} is 233. Note that π(3) + π(13) + π(31) + π(83) + π(103) = 23*3. [Worrom]
233 divides 239*241*251*257 + 1. Can you find five larger
consecutive primes p < q < r < s < t such that
p|qrst + 1? [Loungrides]
The smallest prime-digit prime that is the sum of three
prime-digit primes (3+7+223). [Loungrides]
The only multidigit prime-digit Fibonacci prime. [Loungrides]
The Woolworth Building is an early American skyscraper (once the world's tallest) located at 233 Broadway in Manhattan, New York City. [Gilbert]
The smallest prime and the only known prime-digit prime that can be represented as the sum of eleven consecutive primes, i.e., 5 + 7 + 11 + ... + 37 + 41. [Loungrides]
A potentially rocky planet, known as Barnard's star b, is a
'super-Earth' that orbits around its host star once every
233 days.
Roman Opalka's artwork called "OPALKA 1965/ 1-∞" consists of large size canvases, 233 in all, on which were written all numbers from 1 to 5607249. [Olry]
Meteor Crater is off Exit 233 in Winslow, Arizona. [Hooper]
233 is the smallest number that can be written as the sum of 11 primes in 11 ways. Is there another prime which can be the the sum of p (prime) distinct primes in p ways? [Sariyar]
The James Webb Space Telescope must operate at the negated value of 233 Celsius. [Harrison]