Question

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Answer 1

ok now i have done wew xD

Answer 2

let me see if i understand the problem correctly

so it seems you are definining a finite set with primes : \(P = \{p_1,~p_2,\ldots, p_n\}\)

Answer 3

and be carfull x(n) is not constant

Answer 4

yes @ganeshie8

Answer 5

wanna example ?

Answer 6

i feel lost after that :O

Answer 7

>.<

Answer 8

yes

Answer 9

\[\left\{ 3+3,3+5,3+7,3+11,3+13,...,3+p_n \right\}\]

Answer 10

like i think w to show any p_i bigger than 3 is going to be a subset of that set

Answer 11

like for example if we had 5
and 5>3
\[\left\{ 5+7,5+11,5+13,5+17,... \right\}\]

Answer 12

\[\left\{ 5+7,5+11,5+13,5+17,... ,5+p_n\right\}\]*

Answer 13

but maybe not since 5+7 is not in the first set I mentioed

Answer 14

ok here is an example :-
P={3,5,7,......,31}
S={ 6,8,10,....,54,58,60}
then let x(n)=n-3
x(10)=7 (since 31 have position 10 )
so we have
{6,8,......, 2(19) } subset of S
@ganeshie8

Answer 15

So P is a set with first "n" odd primes ?

Answer 16

yep

Answer 17

ok, makes sense :) i find the problem statement is challenging :P

Answer 18

ehi made a typo at the second line xD hope u note

Answer 19

oh i though it exited grrrrr

Answer 20

\(P\) is a set of first "n" odd primes

\(S = \{a+b~ | ~a \in P~ \land~ b \in P\}\)

Answer 21

yeahhh :D

Answer 22

i dont get why 8 is there in ur set \( \left \{ 6, \color{Red}{8},10,.....,2p_{x(n)}\right\} \)

Answer 23

8 = 2*4 and 4 is not a prime :/

Answer 24

but
8=5+3 xD which is in S set
hmm seems like u really dont get the question :|
2*p is the limit

Answer 25

i dint define the set of term of 2*n

Answer 26

the problem was poorly phrased, so im still struggling to make sense of it

Answer 27

:|
then forget it

Answer 28

ugh im still reading/rereading the problem :/

Answer 29

i still don't get what we need to show here

Answer 30

\[\Large \Large \text {show that for any finite prime set } \Large P= \left \{ p_1,p2,....p_n \right\}~~~ \\ \Large ~~~ \text{s.t} P_1=3 ~\text{ and }~ p_i\leq p_{i+1} ~\forall i,i+1<n\in N\\ \Large \text{if we defined a set S s.t }\\ \Large S= \left \{ p_i+p_j :\forall i,j\leq n \right \} \\ \Large \text{ then , there exist x(n) a sequence of integers s.t } \\ \Large \left \{ 6,8,10,.....,2p_{x(n)} \right \}\subseteq S \text { note that }\\ \Large
x(n) \in N \text{ and } x(n)<n\]

Answer 31

i deleted that :|

Answer 32

and no i dont wanna tell u , just leave it

Answer 33

?