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101 (another Prime Pages' Curiosity) |
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times on that day (and possibly the next). (caldwell@utm.edu) The smallest three-digit palindromic prime. 10101 + 3 is prime. Australia's sugar industry once imported 101 cane toads from Hawaii in the hope that they would kill cane beetles threatening their sugar crop. 101 = 5! - 4! + 3! - 2! + 1! Depeche Mode named one of their albums "101." [Gevisier] The Kentucky bourbon Wild Turkey is 101 proof. 101 = 13 + 17 + 19 + 23 + 29 (the sum of five consecutive primes). [De Geest] Using the alphabet code A = 1, B = 2, C = 3, ... , Z = 26: D + I + V + I + S + I + O + N = 101. [Cox] One Hundred and One Dalmatians is one of Walt Disney's best cartoon films. 101 is the smallest three-digit prime whose digits are not prime. [Gevisier] 101 is the largest known prime of the form 10n + 1. [Kulsha] Author James Branch Cabell was born at 101 East Franklin Street, Richmond, Virginia. 101 is the smallest odd prime such that p - k! for 1 < k! < p is composite. [Russo] The only prime of the form 1010...101. [Goldstein] Room 101 was the place where your worst fears were realized in George Orwell's classic Nineteen Eighty-Four. Professor Nash's office number in the movie A Beautiful Mind. The Challenge Coin was issued to Vietnam Veterans of the 101st Airborne Division. [Ziccardi] The number of digits in the product of the 39 successive primes produced by the formula n2 + n + 41, where n = 1 to 39. This formula was used by Charles Babbage to demonstrate the capabilities of his Difference Engine (1819-1822). [Haga] Combine two digits of a number in order (from right to left) alternating them with + then -. If the result is 0 or a multiple of 101, the prime number 101 divides it. E.g., Is 575519513 divisible by 101? 13 - 95 + 51 - 75 + 05 = -101. Yes! [Luhn] The largest prime factor of smallest palindromic Carmichael number (101101). [Gupta] Queen Elizabeth the Queen Mother was 101 when she died on Easter Saturday 2002. [Croll] The smallest palindromic prime p such that largest odd factor of p-1 is a non-prime (i.e., composite or 1). [Russo] Thor Heyerdahl's book Kon-Tiki is about his harrowing 101-day feat of crossing the Pacific on a balsa log raft which made him world famous. The smallest prime whose sum of the digits is less than the number of digits. [Murthy] The smallest odd prime which can be represented as the sum of a square and its reverse, i.e., 100 + 001 = 101. [Gupta] The concatenation of all palindromes from 1 up to 101 is prime. [De Geest] The greatest prime factor of any 4-digit repdigit is 101. [La Haye] The Math Forum was one of PC Magazine's Top 101 Most Incredibly Useful Web sites in the Information category for the year 2003. Room 101 is the name of a British TV series in which celebrities are invited to discuss their (often whimsical) pet hates with the host. In a short section titled "Prime Numbers ... and Monkeys" of Danica McKellar's bestselling book Math Doesn't Suck, the following statement can be found: "It's hard to believe that there's no way to evenly divide up 101, but it's true!" Christopher Hornsrud, Prime Minister of Norway in 1928, is believed to be the longest lived Prime Minister of any country. He died at age 101. [Duffy] The number 101^2 + 97^2 +...+ 3^2 + 2^2 is prime. [Patterson] A radio astronomer in the movie Contact makes the statement "OK, a hundred and one, the pulse sequence through every prime number between two and a hundred and one." [Haas] Aging 101 is a series of general information articles on aging that school teachers and their students can use in a variety of courses. Its intent is to have you make it until at least 101 years of age. 101^101-100^100+99^99-98^98+...-2^2+1^1 is prime. Note that 101 is the only known odd prime p, such that p^p-(p-1)^(p-1)+...-2^2+1^1 is prime. [Firoozbakht] The British lost interest in airships because of the crash of R-101. The last five digits of 101^101 are 10101. [Hu] 101 is the sum of all products p*q involving the four first primes, i.e., 2*3 + 2*5 + 2*7 + 3*5 + 3*7 + 5*7. [Gallardo] 101 is a common solution of the following four equations: 8^N+N=prime, 3^N-2^N=prime, 12^N-11^N=prime, and 75^N-74^N=prime. [Simon] The first odd prime for which the Mertens function M(n) = 0. [Post] 101 is the first three-digit prime number that can be both read backward and upside-down without being changed. [Mosse] The sum of 10 first primes plus 1. Note that 101 is 10 and 1 concatenated. [Abramson] A googol (10^100) contains 101 digits. The search engine Google's play on the term reflects the company's mission to organize the immense amount of information available on the web. The smallest prime which requires a multidigit prime number of digits (base 10) and a prime number of chisel strokes as a sans serif Roman numeral. Curiously, this is true whether one considers "C" to be one stroke (a circular arc) or two strokes (like a left angle-bracket or less-than sign). [Post] The smallest prime with digit 0. [Beedassy] "Hundred and one" represents one of the 101 partitions of the letters used in this order. [Beedassy] -101 + 9789837973716761595347434137312923191713117532 is prime. Note the descending concatenation of all primes smaller than 101. [Silva] The sum of the first eight semiprimes. [Silva]
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