# 53

This number is a prime.

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The smallest prime that splits into a prime and the corresponding prime subscript (5 = *p*_{3}). [Beedassy]

2^{53} = 9__00__7199254740992 is the smallest power of 2 with two successive 0's. [Beedassy]

The angle having a secant of 5/3 is very close to 53 degrees. [Beedassy]

The only prime consisting of two prime digits whose sum is the cube of their difference. [Beedassy]

There are 53 distinct ways of constructing hole-free pentagonal shapes with the seven pieces of a tangram. [Beedassy]

The number of letters in the the following statement that
transcribes the
Fundamental Theorem of Arithmetic: "*Any integer
beyond unity is either a prime or a product of primes*." [Beedassy]

The highest prime factor in a list of 48 semiprimes (by A. W. Johnson, 1978) the sum of whose reciprocals forms an Egyptian fraction of unity: (1/2*3 + 1/2*5 + 1/2*7 + 1/2*11 + 1/2*13 + 1/2*17 + 1/2*19 + 1/2*23 + 1/2*29 + 1/2*31 + 1/2*41 + 1/2*43) + (1/3*5 + 1/3*7 + 1/3*11 + 1/3*13 + 1/3*17 + 1/3*19 + 1/3*23 + 1/3*29 + 1/3*31 + 1/3*41) + (1/5*7 + 1/5*11 + 1/5*13 + 1/5*17 + 1/5*19 + 1/5*23 + 1/5*31 + 1/5*43 + 1/5*53) + (1/7*11 + 1/7*13 + 1/7*17 + 1/7*19 + 1/7*29 + 1/7*41) + (1/11*17 + 1/11*19 + 1/11*29) + (1/13*17 + 1/13*19 + 1/13*23 + 1/13*53) + (1/17*19 + 1/17*23 + 1/17*43 + 1/17*53) = 1. [Beedassy]