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- Generate arbitrarily long sequences of consecutive numbers without . . .
The goal of this question is to find if other methods exist to generate arbitrarily long sequences of consecutive numbers without primes I started searching for other formulas and stumbled upon this Theorem 2 1
- Consecutive composite numbers - Mathematics Stack Exchange
When I took basic number-theory course there was this exercise to find 2000 consecutive numbers And of course it's well known that the trick to take numbers of the form $$ (n+1)!+m, \\quad 2 \\leq
- Longest known sequence of identical consecutive Collatz sequence . . .
I have found a sequence of 67,108,863 consecutive numbers that all have the same Collatz length (height) These numbers are in the range $ [2^ {1812}+1, 2^ {1812}+2^ {26}-1]$ and I believe it is the longest such sequence known to date Also I believe that we can obtain arbitrarily long such sequences if we start from numbers of the form $2^n+1$ I would be very interested to see a proof of
- Find consecutive composite numbers - Mathematics Stack Exchange
Find consecutive composite numbers [duplicate] Ask Question Asked 4 years, 5 months ago Modified 4 years, 5 months ago
- probability - What is the expected number of times a dice has to be . . .
Basically, on average, how many times one should roll to expect two consecutive sixes?
- $100$ consecutive natural numbers with no primes
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 solve it
- Proof: Sequence of n consecutive natural numbers containing no primes . . .
Proof: Sequence of n consecutive natural numbers containing no primes (Velleman P158 Thm 3 7 3) Ask Question Asked 12 years, 1 month ago Modified 11 years, 9 months ago
- Im trying to find the longest consecutive set of composite numbers
In terms of this structure, the composite topologies representing the composite region in the k-tuple ensure that the frontier prime elements are consecutive in the sequence of prime numbers, and therefore form an intersection of similarly translated composite topologies
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