Category: Number theory

  • Proof of Fermat’s theorem in a few lines

    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.

  • 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…

  • The ABC conjecture and my work on number theory

    you can check above the simple formula of what I called 50-cent theorem. This also finds squarefree numbers in a computer algorithm in a few steps and made earlier known procedures far easier. Also the Pythagorus theorem by infinite decent methods is atleast a page long but my theorem proves in 3 lines.

  • Rationality and irrationality

    “Religion was invented when the first con-man met the first fool. -Mark Twain” (thanks are due to Imtiaz Hussain Mahmood from whose “wall” I obtained this. ) Well all these fools that are elated about 11/11/11 11.11.11 ask them “what’s a rational number?” most of them will scratch their head. Then tell them that. A…

  • 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…