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149 (another Prime Pages' Curiosity) |
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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 7 queens on a 7-by-7 chessboard so that each queen attacks exactly one other queen. [Gardner] An emirp formed from the digits of first three perfect squares. [Gupta] The smallest three-digit prime containing 4 perfect squares. Note that 4 is perfect square. [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]
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