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  1. Prove some member of the sequence $7, 77, 777, 7777, \dots$ is ...

    Oct 5, 2020 · Prove that some member of the sequence $7, 77, 777, 7777, \dots$ is divisible by $2019$. So far I have figured that as $2019$ is divisible by $3$, then if one of the terms of the sequence $$ …

  2. Does ⋮ mean "is divisible by" in mathematical notation?

    Nov 14, 2020 · Does ⋮ mean "is divisible by" in mathematical notation? Ask Question Asked 5 years, 2 months ago Modified 2 years, 3 months ago

  3. elementary number theory - What is meant by "evenly divisible ...

    Aug 20, 2011 · "What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?" Is it different from divisible?

  4. How to prove the divisibility rule for $3\, $ [casting out threes]

    Mar 26, 2013 · The induction methods is nice because it provides an insight into why this divisibility rule works. However, AFAICS, it only shows that the digit-sum being divisible by 3 is a necessary …

  5. Divisibility by 7 - Mathematics Stack Exchange

    The best way to test if a number is divisible by any other number is by deducting the number n times and check whether the remainder is divisible by n. for example 861-7n/7.

  6. proof writing - Prove that $n^2 - 1$ is divisible by $8$ - Mathematics ...

    Mar 16, 2017 · Prove that $n^2 - 1$ is divisible by $8, for every odd integer n.

  7. Is $b\\mid a$ standard notation for $b$ divides $a$?

    This is the standard way, in the specific meaning of compliance to international standards: ISO 80000-2, clause 2.7-17. Note that the vertical bar character used there is normatively identified as U+2223 …

  8. How many numbers between 1 and 1000 are divisible by 2, 3, 5 or 7?

    Jan 1, 2018 · The totient of $210$ - the number of values between $1$ and $210$ that are relatively prime to $210$ - is $ (2-1) (3-1) (5-1) (7-1)=48$. Using this, we can say that there are …

  9. elementary number theory - Why is $a^n - b^n$ divisible by $a-b ...

    I also see that $6^n$ $- 5n + 4$ is divisible by $5$ which is $6-5+4$ and $7^n$$+3n + 8$ is divisible by $9$ which is $7+3+8=18=9\cdot2$. Are they just a coincidence or is there a theory behind?

  10. Zero is divisible by every integer, but other integers are not ...

    Feb 5, 2015 · Zero is divisible by every integer, but other integers are not divisible by zero Ask Question Asked 11 years ago Modified 6 years, 2 months ago