$t_title is "149"
$t_adjust_path is "/~caldwell/curios/"
$t_class is "prime"
$short is "149"
$nunber_id is "632"
$t_meta['description'] is "One of many pages of prime number
curiosities and trivia. This page discusses 149
Come explore a new prime today!"
Elvis Presley had no less than 149 songs to appear on the Billboard Hot 100 popularity chart in the United States. [Blanchette]
There are 149 ways to put 8 queens on a 7-by-7 chessboard so that each queen attacks exactly one other queen. [Gardner]
The smallest emirp formed from the digits of three consecutive perfect squares. [Gupta]
The smallest three-digit prime containing 4 perfect squares, i.e., 1, 4, 9, 49. [Capelle]
149 is the smallest prime which retains the end (unit) digit of its successor (139). E. g., the next such prime is
191 which comes after 181. [Murthy]
The only known prime in the concatenate square sequence. There are no others within the first 14916 terms. Note that a prime in the concatenate cube sequence has yet to be found.
149 and 191 are both prime. So are both 149*2^191+1 and 191*2^149+1. [Hartley]
The smallest 3-digit prime with distinct digits in each position such that inserting a zero between any two digits creates a new prime. [Patterson]
149 = 6^2 + 7^2 + 8^2. [Schlesinger]
149 is equal to the sum of two squares as well as is equal to the sum (in arithmetic progression) of three primes which are not sum of two squares: 23 + 43 + 83 = 149. [Teofilatto]
The smallest emirp with no prime digits. [Beedassy]
The smallest emirp that yields another when each digit d is
repeated d times: 14444999999999. [Silva]
The numbers π(149)*149! - prime(149) and π(149)*149! + prime(149) are primes with prime length. [Firoozbakht]
149 is prime, but 1149, 2149, ..., 9149 are all composite.
This is the smallest excluding two trivial prime numbers 2
and 5. [Poo Sung]
For $149 dollars, Atlas Sports Genetics will test your child's DNA and send you a report listing the sports where your child is likely to succeed. [Robinette]
The smallest prime partial sum of extravagant numbers, also
called prodigal numbers, or wasteful numbers: 4 + 6 + 8 + 9
+ 12 + 18 + 20 + 22 + 24 + 26 = 149. [Post]
149 in binary is 10010101. The zeros are in prime positions 2, 3, 5, and 7, when read left-to-right. These are the four single digit prime numbers. [Homewood]
The largest 3-digit prime with distinct digits that creates another distinct-digit prime, i.e., 164729, when each of its digits is replaced by its cube. [Loungrides]
The smallest prime number whose sum of digits equals 149
has never been found. See PC8999.
Between 1 and 9 there are 4 primes. [Harber]
The smallest prime number for which the sum of the square
roots of the cubes of its digits equals its product of
The smallest case of the product of the nth prime number
and the nth composite number being a beast number is 859 *
194 = 166646 (n=149). [Gaydos]
(There are 15 curios for this number that have not yet been approved by an editor.)
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