This is valid till the prime number 5 is sufficient to test the powerfreeness of another integer. {m,n,k} are numbers/integers in the vicinity and for very high powers in Fermat’s theorem one needs higher prime numbers. This theorem has been evidently tested for small powers.
prime numbers
new inventions in number theory .. [summary]
1. a number is not a power of 6 if it’s last two digits are not one of these: 16, 36, 56, 76 or 96, always … OR integer whose 2nd digit to left from right is any odd numbers less than 10 (1,3,5,7..etc)
2. a number is not a power of 5 if it’s last two digits are not 25
3. for powers of 4, always either a 4 or a 6 in the last digit (which adds upto 10)
4. powers of 7: last digit is always an odd number less than 10 but not 5.
5. for powers of 3 is same as that of 7 but their 2nd last digit differ..
a new step in number theory
“Nature may speak mathematics but it’s often quiet …”
… Or in words: The integer powers of any integer is a multiple of a prime number within a integer scope of the power-integer.
I have explored only the prime number 5 for which I have verified in detail that this is valid. It has many implications including towards Fermat’s theorem and Pythagorean theorem and many more corollaries with great importance towards computational number theory.
I will give a history of how i came to discover this an why I call it by the name of 50cent a celebrated HipHop musician. I am a hiphop musician but nobody knows me. …
a new step in number theory
“Nature may speak mathematics but it’s often quiet …”
… Or in words: The integer powers of any integer is a multiple of a prime number within a integer scope of the power-integer.
I have explored only the prime number 5 for which I have verified in detail that this is valid. It has many implications including towards Fermat’s theorem and Pythagorean theorem and many more corollaries with great importance towards computational number theory.
I will give a history of how i came to discover this an why I call it by the name of 50cent a celebrated HipHop musician. I am a hiphop musician but nobody knows me. …
