satwnz Posted May 28, 2018 Posted May 28, 2018 Prime ={NPn*±IPn } i.e 30N±I5, Prime Number range 5<=P<25, I5 have 2 AP series with C.D=6, and first element = 5 & 7 5,11,17,23….infinite, C.D=6, T1=5 7,13,19,25…..infinite, C.D=6, T1=7 in example below you can see with help of I5 AP series we can find all Prime Number range 5<=P<25 P5* I5 I5 Prime=(P5*-I5) Prime= (I5-P5*) 30 25 35 5 5 30 23 37 7 7 30 19 41 11 11 30 17 43 13 13 30 13 47 17 17 30 11 49 19 19 30 7 53 23 23 60 55 65 5 5 60 53 67 7 7 60 49 71 11 11 60 47 73 13 13 60 43 77 17 17 60 41 79 19 19 60 37 83 23 23
studiot Posted May 28, 2018 Posted May 28, 2018 Your headline question Quote Is it possible to find all consecutive prime in fix range ? . If you define a range as having two endpoints, In theory, yes by the method of exhaustion. But what does this have to do with your first post?
satwnz Posted May 29, 2018 Author Posted May 29, 2018 Bcz we can find out any consecutive prime number by just subtraction of two numbers of series i.e Pn*, and Ipn. Ipn series Number of series Commonn Diffrance Prime number in range Remarks I2 1 2 2 TO 4 Series in AP I3 1 6 3 TO 9 Series in AP I5 2 30 5 TO 25 Series in AP, and Got prime by subtarction 30*N-I5 where N is natural no I7 8 210 7 TO 49 Series in AP, and Got prime by subtarction 210*N-I7 where N is natural no I11 48 2310 11 TO 121 Series in AP, and Got prime by subtarction 2310*N-I11 where N is natural no I13 480 30030 13 TO 169 Series in AP, and Got prime by subtarction 30030*N-I13 where N is natural no I17 5760 510510 17 TO 289 Series in AP, and Got prime by subtarction 510510*N-I17 where N is natural no I19 92160 9699690 19 TO 361 Series in AP, and Got prime by subtarction 9699690*N-I19 where N is natural no I23 1658880 223092870 23 TO 529 Series in AP, and Got prime by subtarction 223092870*N-I23 where N is natural no I29 36495360 6469693230 29 TO 841 Series in AP, and Got prime by subtarction 6469693230*N-I29 where N is natural no I31 1021870080 200560490130 31 TO 961 Series in AP, and Got prime by subtarction 200560490130*N-I31 where N is natural no I37 30656102400 7420738134810 37 TO 1369 Series in AP, and Got prime by subtarction 7420738134810*N-I37 where N is natural no I41 1103619686400 304250263527210 41 TO 1681 Series in AP, and Got prime by subtarction 304250263527210*N-I41 where N is natural no . . . . . . . . . . . . . . . Ipn (p1-1)*(p2-1)*(p3-1)*(p4-1)*………….(pn-1)=k Pn To Pn^2 Series in AP, and Got prime by subtarction {NPn*±IPn }
studiot Posted May 29, 2018 Posted May 29, 2018 1 hour ago, satwnz said: Bcz we can find out any consecutive prime number by just subtraction of two numbers of series i.e Pn*, and Ipn. So what? Was that non-English supposed to be an answer? If you put a little more effort into discussion and a lot less effort into typing out endless lists of numbers perhaps someone else might also be prepared to discuss with you.
Strange Posted May 29, 2018 Posted May 29, 2018 21 hours ago, satwnz said: I5 have 2 AP series with C.D=6 What is I5? What is AP? What is C.D? 21 hours ago, satwnz said: T1=5 What is T1? 3 hours ago, satwnz said: Ipn series Number of series What is "Ipn series"? And how is it calculated? What is "Number of series"? And how is it calculated? You are not explaining yourself well. Try a few proper sentences. Try a spell. checker. Try explaining what all your abbreviations mean.
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