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 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 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 = ((9)^(9) + (7)^(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]
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]
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]
The only nonagenarian prime. British logician, mathematician, and philosopher Bertrand Russell lived to be 97.
The sum of all prime factorials less than or equal to 97 is prime after subtracting 1. [Silva]
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]
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.
(There are 23 curios for this number that have not yet been approved by an editor.)