Can a number be a palindrome in 4 consecutive number bases?
This three digit pattern will never extend to a fourth consecutive base as TMM said in the comments; which Ross Millikan posted later in his partial answer. It remains to prove the …
When is the sum of $m$ consecutive integers never a square?
Apr 30, 2025 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
consequent、consecutive、subsequent、successive 有哪些区别？
在consecutive的解释里面可以看到用successive来解释了consecutive，所以其实它们俩的意思是差不多的。 这个结论够用，但是非得想知道consecutive和successive的区别呢？
$100$ consecutive natural numbers with no primes
Aug 6, 2018 · Additionally, Is it possible to have $1000$ consecutive natural numbers with exactly $12$ primes between them? I have an intuition that we have to form a recurrsive relation and …
Why are the differences between consecutive squares equal to the ...
The easiest way to I think about the difference between consecutive powers ( squared cubed or whatever) is using binomial theorem. For example : $(n+1)^4 - n^4 = n^4 + 4n^3 + 6n^2 + 4n + …
The number of binary strings of length $n$ with no three …
Apr 21, 2020 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
markov chains - Probability of encountering $5$ consecutive equal …
Sep 20, 2024 · What is the probability of encountering $5$ consecutive equal rolls in $100$ dice rolls? Attempt 1. First, I thought to myself: since a single roll of a die has 6 outcomes. Then, 5 …
Arrangements of $a,a,b,b,b,c,c,c,c$ in which no two consecutive …
Nov 8, 2022 · I have the following question: We are going to generate permutations from a,a,b,b,b,c,c,c,c. Please compute the number of permutations such that: (a) for any …
probability - What is the expected number of times a dice has to …
This argument generalizes to more than $2$ consecutive 6's by induction. For example, if you want $3$ consecutive 6's, you consider sequences that look like this: $$ ?????66? $$ The …
calculus - What is the definition of "consecutive roots" of a ...
Apr 12, 2022 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …