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25 is a square. It is a square number, being 5 2 = 5 × 5, and hence the third non-unitary square prime of the form p 2.. It is one of two two-digit numbers whose square and higher powers of the number also ends in the same last two digits, e.g., 25 2 = 625; the other is 76.
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As an application, a random number generator could make one probe into the range at hand for a random number, and produce a random SP. Late in 2005, the program Fritz9 became available. It has a Fischer random chess option, but, for some unexplained reason, it assigns idns to SPs in a different way.
The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto (松本 眞) and Takuji Nishimura (西村 拓士). [1] [2] Its name derives from the choice of a Mersenne prime as its period length. The Mersenne Twister was designed specifically to rectify most of the flaws found in older PRNGs.
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Like many other powers of 5, it is a Friedman number in base 10 since 125 = 5 1 + 2. 125 is the center of a close triplet of perfect powers , (121 = 11 2 , 125 = 5 3 , 128 = 2 7 ). Excluding the trivial cases of 0 and 1, the only closer such triplet is (4,8,9) and the only other equally close is (25, 27, 32).