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(Added base 16 form)
((Up to 32-digit numbers (2^100) I guess?))
 
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*{{Divisibility number|No|2-52.}}
 
*{{Divisibility number|No|2-52.}}
 
*{{Divisibility number|Yes|{{PAGENAME}}.}}
 
*{{Divisibility number|Yes|{{PAGENAME}}.}}
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==As an Exponent of Mersenne Number==
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2<sup>53</sup> - 1, which is the number 9,007,199,254,740,991, is divisible by numbers such as [[6,361]] and [[69,431]], and therefore not a prime number.
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==Relationship with other odd numbers==
 
==Relationship with other odd numbers==
 
===The numbers before===
 
===The numbers before===
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[[Category:Balanced Primes]]
 
[[Category:Balanced Primes]]
 
[[Category:Chen Primes]]
 
[[Category:Chen Primes]]
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[[Category:Russian-doll primes]]
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[[Category:Multiplicative Persistence 2]]

Latest revision as of 11:47, July 5, 2016

53 is a prime number from 1-100. 53 has 2 factors, 1 and 53. It is the sixteenth prime number, and the sixteenth prime number from 1-100.

ProofsEdit

  • Yes — 53 can be divided by 1.
  • No — 53 cannot be divided by 2-52.
  • Yes — 53 can be divided by 53.


As an Exponent of Mersenne NumberEdit

253 - 1, which is the number 9,007,199,254,740,991, is divisible by numbers such as 6,361 and 69,431, and therefore not a prime number.

Relationship with other odd numbersEdit

The numbers beforeEdit

  • The previous odd number, 51, is not a prime number. It can be factored into 3 x 17.
  • The odd number previous to 51 is 49. 49 is not a prime number. It is the square number, being 72 = 49.
  • The odd number previous to 49 is 47. 47 is a prime number.
    • 47 and 53 are six numbers apart; therefore, they are sexy primes.

The numbers afterEdit

  • The next odd number, 55, is not a prime number. It is divisible by 5 and 11.
  • 57, the odd number following 55, is also not a prime number. It is divisible by 3 and 19.
  • 59, the odd number following 57, is a prime number.
    • 53 and 59 are six numbers apart; therefore, they are sexy primes.


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