The book is now available! 97
(another Prime Pages' Curiosity)
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Carla Kik © 2004
+ The last two digits of Jack Reacher's ATM card PIN in the novel Bad Luck and Trouble by Lee Child. Reacher liked 97 because it is the largest two-digit prime number. [Reynolds]

+ The smallest odd non-cluster prime. An odd prime p is called a cluster prime if every even positive integer less than p-2 can be written as the difference of two primes q - q', where q, q' is less than or equal to p.

+ The number formed by the concatenation of odd numbers from one to 97 is prime. [Howell]

+ There are 97 leap days every four hundred years in the Gregorian calendar. [Poo Sung]

+ Physiology is reduced to the economic needs of locomotion at the prime number tempo of 97 beats per minute. [Hayes-Marshall]

+ The smallest prime comparable to all minimal primes in base 3. [Rupinski]

+ The largest known prime which can be expressed as the sum of equal powers of two consecutive primes (i.e., 2^4 + 3^4). [Gupta]

+ There are 97 chapters, some as short as a paragraph or two, in Bruce Chatwin's book In Patagonia, giving the entire book a vignette-like feel. [Deemikay]

+ Shakespeare's Sonnet XCVII (97) has a curious property. The seventh word of the seventh line of the sonnet is "prime." [Keith]

+ 97, 907, 9007, 90007 and 900007 are all primes, but 9000007, 90000007, 900000007, 9000000007, and 90000000007 are all composites.

+ The smallest prime which is the sum of a prime number of consecutive primes as well as the sum of a composite number of consecutive composite numbers: 97 = 29 + 31 + 37 = 22 + 24 + 25 + 26. [Beedassy]

+ The continued fraction for pi to the fourth power starts with 97.

+ The first four pairs of digits following the decimal point of 1/97 are powers of three: 1/97 = 0.01030927.... [Hill]

+ The first ever NASCAR win for Plymouth and the Chrysler Corporation was powered by a strictly stock flathead engine that produced 97 horsepower.

+ Generally, one jigger (one and a half ounces) of liquor (gin, rum, vodka, and whiskey) contains 97 calories. [Larsen]

+ 97 = pi(pi(9)^pi(9) + pi(7)^pi(7)). Note that the prime 97 is the only integer with this property. [Firoozbakht]

+ The largest known prime p with the property that when writing down all the natural numbers from 0 to p one uses p odd digits. [Capelle]

+ The word NINETYSEVEN contains smoothly undulating constants and vowels. Is there a larger example? [Johnson]

+ In the middle of 97 insert (97 - 1) and you get 9967, which is also prime. Put (97 - 1) in the middle of 9967 and you get 999667, which is another prime. Put (97 - 1) in the middle again and you get 99996667, yet another prime. After inserting (97 - 1) in the middle once more, it is left for the prime curiologist to find the factors of 9999966667. [Honaker]

+ 97 = 4! * 4 + 4/4. [Dunn]

+ There are 97 non-cubic 3-dimensional crystallographic groups without reflection planes. [Post]

+ Vernon Dalhart's version of the "Wreck of Old 97" is sometimes cited as the American music industry's first million-seller.

+ The number of primes with exactly 3 distinct digits. [Beedassy]

+ 97 and its double (194) and triple (291) use the same number of characters (five) when expressed in Roman numerals: XCVII, CXCIV, and CCXCI. [Meller]

+ The smallest prime that can be expressed as the sum of first odd composite numbers (9 + 15 + 21 + 25 + 27). [Silva]

+ Dudeney numbers are exactly 13, 83, 173, 183, 263, 273. The sum 97 = 1 + 8 + 17 + 18 + 26 + 27 is an emirp. [Poo Sung]

+ The only nonagenarian prime. British logician, mathematician, and philosopher Bertrand Russell lived to be 97.

+ The number of ways to form two fractions that add up to 1 if all distinct digits 0 through 9 are used in each case. There is only one such case that uses the number 97. Can you find it?

+ The sum of all prime factorials less than or equal to 97 is prime after subtracting 1. [Silva]

+ The smallest emirp p such that the reversal of all the five numbers 2^k*p, k < 6 are prime. [Firoozbakht]

+ The smallest prime that has the same (prime) digital root as its subscript: 97 is the 25th prime P25. [Beedassy]

+ All ZIP Codes in the state of Oregon begin with the digits '97'. [Green]

+ The smallest emirp followed by another with the same end digit. [Silva]

+ Largest prime which is less than the sum of square of its digits (i.e., 97 < 9^2+7^2). [Gupta]

+ The emirp number of primes between the emirp pair 107 and 701. This is a first occurrence. [Blankenship]

+ 97272/1087 = 3.141592654.... [Meller]

+ Every number is the sum of four squares. As a corollary to work by J. H. Conway, 97 is the largest prime p for which the first square can be taken to be any positive square < p. [Post]

+ The number 9797 cannot be written as the sum of consecutive cubes. [Wesolowski]

+ Mathematician, concert pianist, logician, Taoist philosopher, and magician Raymond Smullyan turned 97 on May 25, 2016.

+ The smallest number n, (it is also prime and emirp), such that the product of first n positive even numbers minus 1 is a prime greater than a googol. Note that the product of first n even numbers minus 1 is given by the form 2^n*n!-1, where n is the number of even numbers. May we call the primes of this form, “almost evenian primes”? [Loungrides]

+ Visitors may climb 97 steps to the lookout platform at The Homesteads Tower near Crossville, Tennessee.

+ The population standard deviation of the first 97 natural numbers is "perfect." [Honaker]

(There are 23 curios for this number that have not yet been approved by an editor.)




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