2357
(another Prime Pages' Curiosity)
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The smallest four-digit prime with distinct prime digits.

Chinese Emperor Yao began his reign in 2357 B.C. A famous legend holds that he created the game of Go to improve the intelligence of his son.

22 + 33 + 55 + 77 is prime. [Papazacharias]

Letting A = 1, B = 2, ..., Z = 26, then 2357 is the sum of all the values of the U.S. Presidents' last names from Washington to Coolidge. [Trotter]

2357 is also the sum of consecutive primes in at least two ways: (773 + 787 + 797) and (461 + 463 + 467 + 479 + 487). [Trotter]

The smallest number, curiously prime, whose square begins with 4 identical (prime) digits: 2357^2 = 5555449. [Post]

Inserting nineteen zeros between the four prime digits of 2357 makes another prime of prime length sixtyone. Note that 23 + 57 = 19 + 61 and also 19 + 4 = 23 as 57 + 4 = 61. [De Geest]

Twenty-three fifty-seven (23:57) is the largest "prime time" of day on a 24-hour clock in hours and minutes. [Luhn]

21013 + 31013 + 51013 + 71013 is prime. [Luhn]

219 + 319 + 519 + 719 is prime. [Ngassam]

The prime digits united by unities is prime (2131517). [De Geest]

2*3*5*7+2+3+5+7 and 2*3*5*7-2-3-5-7 are both prime. [Poo Sung]

100^n + 10^n - 1 is prime for consecutive primes 2-3-5-7. [Patterson]

The product of the primes less than or equal to 2357 is the smallest titanic primorial number.

The number of pies used in the shooting of The Great Race (biggest pie throwing scene on film).

Oklahoma is the only U.S. state name whose letters in prime positions are all consonants.




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