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97 (another Prime Pages' Curiosity) |
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 (n). Here n = 16. No other odd prime besides 97 is known to have this property. The largest two-digit prime. 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 non-titanic 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 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] The largest two-digit prime whose cube is zeroless. [Pattterson]
97 = 97 is a 4-dimensional Centered Cube prime. Note that 97 = 2^4 + (2+1)^4. [Post] 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]
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