25
(another Prime Pages' Curiosity)
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+ 25 is a strong pseudoprime base 2 + 5. [Gupta]

+ The only prime square whose digits are all prime.

+ The smallest two-digit number N = ab such that the sum and absolute difference of its digits along with the concatenations of each in both directions are all prime. E.g., 5 - 2 = 3, 5 + 2 = 7, 37, and 73 are prime. [Heleen]

+ pi(100) = 25.

+ There are exactly 52 squares less than or equal to 10002 which are the sum of Twin prime pairs. [Honaker]

+ 25 is the concatenation of 2 and 5 which are the only primes of the form 10n + 2 and 10n + 5. Note that 25 = 52. [Murthy]

+ Laura Nickel, a high school student when she made international news by codiscovering the 25th Mersenne prime, is now Ariel Glenn.

+ There are exactly 25 (a perfect square) primes beginning with the digit 1 among primes smaller than one thousand. It's more than for the other digits. [Capelle]

+ The smallest composite number whose prime factors are written with its digits. [Capelle]

+ 25^5+52^2 is a 2+5-digit prime. [Silva]

+ 5+7+13=5^2 are the larger primes of three consecutive twin prime couples which sum to a square N with a prime base. If there exists another solution N it is necessarily of the form (3*n)^2, a composite base. [Zschorn]




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