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313 (another Prime Pages' Curiosity) |
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will be down at times on those day (and possibly the next). (caldwell@utm.edu) Ever since Donald Duck's car first appeared in 1938 (a "1934 Belchfire Runabout" that he built from spare parts), it has frequently sported the license plate number 313. [Haga] 313 (base ten) = 100111001 (base two). Note that 100111001 (base ten) is a palindromic prime as well. The only three-digit number with this property. [Larsen] The largest known prime that divides a unitary perfect number. The Russian cosmonaut Sergei Krikalev spent exactly 313 days in space aboard the Mir Space Station. The smallest multidigit palindromic prime of the form n x phi(n) + 1, where phi(n) is the Euler function. [Russo] Islam's first battle (The Battle of Badr) against the pagans of Mecca was fought by 313 Muslims, and won. [Daniyal] Frenicle challenged Wallis to solve x2 - 313y2 = 1. [Beiler] Elizabeth Haich's book Initiation analyzes the significance of 313 in ancient Egyptology. 313 = 122 + 132. [De Geest] If 313 people are chosen at random, then the probability that at least five of them will share the same birthday is greater than fifty percent. Wood's History of Alameda County, California, published in the decade around the first U.S. centennial, includes 313 men and not one woman! [Haga] The smallest Weakly prime in base 5. [Duisenberg & Dionne] 313(285672 + 1) is prime. [Melo and Gallot] In Shi'ism, it is believed that Imam Mehdi (the ultimate savior of the believers) will appear when there are 313 true and sincere Shia followers in the world. [Daniyal] The smallest number to appear exactly three times in its own factorial (313!). [ten Voorde] 10313 + 313 is prime. [Broadhurst] The Mayan ruin Coba near Tulum in the Yucatan peninsula contains a pyramid that is surrounded by 313 large stones with hieroglyphs. [Haid] In the movie Somewhere In Time, Christopher Reeve checks into room number 313 of the Grand Hotel. [Haga] The only three-digit palindromic prime that is not the sum of consecutive composite numbers. [Russo] (2^3+1)/3, (2^31+1)/3, (2^13+1)/3, and (2^313+1)/3 are prime. [Aggarwal] The smallest happy number which is a multidigit palindromic prime. [Gupta] 1/313 produces a string of decimals that repeats itself after 312 (one less than itself) decimals. Only 5 of the 3-digit palindromic primes have this ability. [Vatshelle] 313, 313 - 2, 313 - 2*3, 313 - 2*3*5 & 313 - 2*3*5*7 are all prime numbers. [Rivera] The smallest multidigit palindromic prime that is both a left and right-truncatable prime. [Patterson] The paper Light and Number: Ordering Principles in the World of an Autistic Child by Park, D. and Youderian, P., begins on page 313 in the Journal of Autism and Childhood Schizophrenia (1974). Note that the Parks' child Ella was fascinated by the "order" of numbers, especially primes. The Roman emperor Constantine made Christianity the official religion in 313 A.D. [Pitts] There are 313 exclamation marks in the KJV Bible! The first one occurs at the end of Genesis 17:18. [Bennet] 313 is the 13th Centered Square Number. Note that 313 left-truncates to 13, which is also a prime. [Post] 313 "inverted" is also a prime, 131. [Blackham] The smallest positive integer solution to 313(x3 + y3) = z3 contains numbers that are titanic. The number of games Cy Young lost in his professional baseball career. Eris, the largest known dwarf planet in the solar system, was previously designated UB313 in 2003. 313 is the name of a unique wakeboarding trick: "Heelside Raley with a frontside handle-pass 360." [Hill] The sum of largest Fibonacci square (144) and largest Pell square (169). [Gupta] The telephone area code for Detroit, Michigan. [Anon]
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