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#1 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2017-03-19 19:55:59

Hi,

Wants some suggestion on

If mod(Prime B ,Pn*)>1 then result will be Small Prime A in proper Range.
                     
where Pn* is multiplication of all prime number less the nth prime number Ex 6,30,210,2310,30030,510510,9699690,….Pn*.                                                                                                                       Prime B>Pn*                                                                         
Range of Prime B                                                               
3*=6 gives  prime  3>=p<9
5*=30 gives  prime  5>=p<=25
7*=210 gives  prime  7>=p<=49
11*=2310 gives prime  11>=p<=121
.
.
.
.
Pn*=...gives prime  Pn*>=p<=(Pn)^2   

Ex
6 gives  prime  3>=p<9
Mod (23,6)=    5 ; Mod (29,6)=    5 ;

30 gives prime  5>=p<=25
Mod(157,30)=7: Mod(163,30)=13: Mod(167,30)=17; Mod(173,30)=23

210 gives prime  7>=p<=49
Mod(223,210)=13; Mod(227,210)=17; Mod(229,210)=19; Mod(233,210)=23; Mod(239,210)=29;Mod(241,210)=31; Mod(251,210)=41

#2 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2015-03-17 18:54:37

satwnz wrote:
Agnishom wrote:

Very good.

I suppose 49 is prime too, by the same logic?

No dear How you have calcluted can u explain...you have made mistake.:cool

take example of consecutive prime there mod with 30,210,2310 will give prime in range .Range is given in table.

consecutive prime     MOD 30 (5 < prime< 25 )     MOD 210 ( 7 < prime < 49 )    Mod 2310 (11<  pprime  < 121 )
                    2,333    23    23    23
                    2,339    29    29    29
                    2,341    1    31    31
                    2,347    7    37    37
                     2,351    11    41    41
                     2,357    17    47    47
                     2,371    1    61    61
                      2,377    7    67    67
                     2,381    11    71    71
                      2,383    13    73    73
                     2,389    19    79    79
                      2,393    23    83    83
                       2,399    29    89    89
                    2,411    11    101    101
                    2,417    17    107    107
                     2,423    23    113    113
                      2,437    7    127    127
                       2,441    11    131    131
                      2,447    17    137    137

now ok, if we have big prime we can find out smaller one.
in general big primes yeilds smaller one........:d

#3 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2015-03-17 17:32:13

Agnishom wrote:

Very good.

I suppose 49 is prime too, by the same logic?

No dear How you have calcluted can u explain...you have made mistake.:cool

#4 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2015-03-16 19:36:50

Agnishom wrote:

We have many number theorists here...

Is 9831655609 prime?

9831655609 ( MOD 30)=19 PRIME smile

#5 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2015-03-15 23:14:12

Odd Prime numers always yiels a small prime number ( in proper range ).
Every odd Prime numers yiels a small prime number ( in proper range ).

Prime Number    MOD 30  (5< p<25 )    MOD 210 (7< p<49 )    Mod 2310 (11< p<121 )
2,347                                             7    37                                 37
2,351                                             11    41                                  41
2,357                                             17    47                                  47
4,637                                             17    17                                   17
4,639                                             19    19                                   19
4,643                                             23    23                                    23
4,657                                              7    37                                      37
4,663                                             13    43                                    43
6,947                                             17    17                                    17
6,949                                             19    19                                   19
9,277                                              7    37                                     37
9,281                                             11    41                                    41
9,283                                             13    43                                    43

This directly Means if you have big prime number with help of mod smaller can be find out.

#6 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-09-04 05:00:28

bobbym wrote:

Hi satwnz;

You say that it is not time consuming. But I think you mean just for small numbers.

Is 1 111 111 111 111 111 111 a prime? What do you subtract from this to know?

I hv deal wit max 15 digit number.But i can go for n digit numer if some supportive system is with me.
if it is well define for numer up to 15 digit We sure it will give posative result fo n digit number.

#7 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-27 00:45:41

reconsideryouranswer wrote:

You have a list of prime numbers in the far left column,
where they are being used for analysis/calculations.


It looks as though you have to have those prime numbers
in advance to get a longer list of greater prime numbers.

Ipn series--- It is well define set of posative number.

Range of continues Prime ----It contains each and every prime number in fixed range.

No of Ipn sub series...This Ipn series have subseries it is also well define. 
 
Common difference......As subseries are in A.P so common difference is given

% of Ipn element w.r.t. + Ve integer........it %of Ipn series wrt posative integer.i.e how many Ipn are in set of all +ve integer


Ex-I3( it is Ipn series)  have one AP Serie and C.d = 2               
3, 5, 7, 9, 11, 13------∞               
i) Contain all primes and specific odd positive integer from 3 to infinite               
ii) Continious prime 3≤P<9               
ii) I3 Contain only 50.00% of positive integer   
           
Ex-I5( it is Ipn series) have two AP Serie and C.d = 6               
5 11 17 23 29 35 41 ------∞  (sub series 1)             
7 13 19 25 31 37 43 -----∞   (sub series 2)           
i) Contain all prime and specific odd positive integer from 5 to infinite               
ii) Continuous prime 5≤P<25               
ii) I5 Contains only 33.33% of positive integer

like this we can go for any series and any prime number.

br//

satish

#9 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-25 04:45:52

Ipn series    Range of continues Prime    No of Ipn sub series    Common difference    % of Ipn element w.r.t. + Ve integer
I2                    2 ≤ P < 4                           1                              2                                  100%
I3                    3 ≤ P < 9                           1                              2                                  50%
I5                    5 ≤ P < 25                           2                              6                                 33.33%
I7                    7 ≤ P < 49                           8                              30                                  22%
I11                    11 ≤ P < 121                  48                             210                                  20%
I13                    13 ≤ P < 169                  480                            2310                                  19%
I17                     17 ≤ P < 289                  5760                          30030                                   18%
I19                    19 ≤ P < 361                  92160                      510510                           17%
.
.
.
.


IpN................
               
               
               
Ex-I3 have one AP Serie and C.d = 2               
3, 5, 7, 9, 11, 13------∞               
i) Contain all rpimes and specific odd positive integer from 3 to infinite               
ii) Continious prime 3≤P<9               
ii) I3 Contain only 50.00% of positive integer               
Ex-I5 have two AP Serie and C.d = 6               
5 11 17 23 29 35 41 ------∞               
7 13 19 25 31 37 43 -----∞               
i) Contain all prime and specific odd positive integer from 5 to infinite               
ii) Continuous prime 5≤P<25               
ii) I5 Contains only 33.33% of positive integer

#10 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-23 22:26:10

bobbym wrote:

Hi satwnz;

Welcome to the forum.

2310-2179=131
2310-2173=137
2310-2171=139
2310-2161=149
2310-2159=151
2310-2153=157
2310-2147=163
2310-2143=167

The numbers you are using to subtract, how are you creating them?

how are you creating them...........There two step algo to fin it.If u r intrested in it plz contact me on [email removed by moderator]

#11 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-23 22:23:38

George,Y wrote:

Ah I see, that's an interesting conjecture.

satwnz you can try publishing it.

really...........will u help me.

#12 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-23 22:22:19

bobbym wrote:

Hi GeorgeY;

I know about that result and there are others.

2310-2173=137

That still does not explain where the 2173 ( along with the rest ) comes from. That is what I hoping to get him to reveal.

In fact i am researching in field of prime number pattern..........and number u hd underlied is element of welldfine set.

#13 Re: Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-23 22:18:11

bobbym wrote:

Hi satwnz;

Welcome to the forum.

2310-2179=131
2310-2173=137
2310-2171=139
2310-2161=149
2310-2159=151
2310-2153=157
2310-2147=163
2310-2143=167

The numbers you are using to subtract, how are you creating them?

Hi it is well define sets of number .........and can go for larger number also..........but my laptop support to 15 digits only.

#14 Help Me ! » Is it any pseudo pattern gives prime number in proper range? » 2011-08-13 20:11:32

satwnz
Replies: 73

My question is that, is it any pseudo pattern gives prime number in proper range? If some set of number can give you each and every prime number in fixed range? Range is like this

2 to   4

3 to    9

5 to    25

11 to 121

13 to 169

.

.

.

n to n*n

I have way to find out prime number. It is simple. Most important things is that its not a time taking. Just i will have to subtract a unique set of number from fixed number.
example no 1 ( This give us prime no grater then equal to 11 and less then equal to 121).
210-199=11
210-197=13
210-193=17
210-191=19
210-187=23
210-181=29
210-179=31
210-173=37
210-169=41
210-167=43
210-163=47
210-157=53
210-151=59
210-149=61
210-143=67
210-139=71
210-137=73
210-131=79
210-127=83
210-121=89
210-113=97
210-109=101
210-107=103
210-103=107
210-101=109
210-  97=113
I can find out any prime number.
I have used unique set of number and subtract it from fixed number as in example no 1.




example no 2.( This give us prime no grater then equal to 13 and less then equal to 169)

2310-2297=13
2310-2293=17
2310-2291=19
2310-2287=23
2310-2281=29
2310-2279=31
2310-2273=37
2310-2269=41
2310-2267=43
2310-2263=47
2310-2257=53
2310-2251=59
2310-2249=61
2310-2243=67
2310-2239=71
2310-2237=73
2310-2231=79
2310-2227=83
2310-2221=89
2310-2213=97
2310-2209=101
2310-2207=103
2310-2203=107
2310-2201=109
2310-2197=113
2310-2183=127
2310-2179=131
2310-2173=137
2310-2171=139
2310-2161=149
2310-2159=151
2310-2153=157
2310-2147=163
2310-2143=167.
Sir I can find any prime number of multi digits. But calculating limit of computer do not allow me to work further. So please help me in this regards.

Sir i had already solved so many things in prime number representation is required.
So my request is if possible plz suggest me the platform where i can represent it.

SATISH KUMAR SINGH
GTL NPD PUNE

09011056492

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