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Results tagged with nt.number-theory
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user 8140
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
1
answer
875
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Average of twin prime pairs is Abundant number, except for 4 and 6. Any prime is a factor of... [closed]
I have an intuition that Average of twin prime pairs is always Abundant number except for 4 and 6.
For example:
12 < 1+2+3+4+6=16
18 < 1+2+3+6+9=21
...
But I can't prove this. Could you give me a …
- 217
6
votes
3
answers
973
views
A prime sequence can be partitioned into two sets of equal or consecutive sum
Denote $P[n]$ as the prime sequence $\{p_1,p_2,\cdots,p_n\}$.
Conjecture:
When $n=2k+1$ is odd, prime list $P[n]$ can be partitioned into two non-overlapping sublists, in which each sublist has equ …
- 217