2018年4月5日木曜日

break : prime again (8) : pairing rule...{p(4n+1),p(4n+3)},n=(7,8)

[1][prime again (7)]の続きで、n=7,n=8について見てみる。n=9以降は長いので、更に分割。サマリー部分の処理を少し変更したので、n=7は、(redo).
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備忘録）表形式の張り付け方法={*.odsから、csvではなく、[ファイル/Webブラウザでプレビュー]で出力したものを使用}.
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@select one {neatest 0.577 & below 0.577}.
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[2]n=7,127<(p=23)<255, @(p=23)=(11,1,11)=cnt(h1,0.584,h2),
===pair(h1,h2)=(12,11),
N=7

Pair(12,11)




seq h1 h2 4n?(h1) 4n?(h2)

1 131 193 3 1

2 137 197 1 1 same
3 139 199 3 3 same
4 149 211 1 3

5 151 223 3 3 same
6 157 227 1 3

7 163 229 3 1

8 167 233 3 1

9 173 239 1 3

10 179 241 3 1

11 181 251 1 3

12 191 ? 3 ? !pair
aaa






Same=3/11 0.2727272727




!same=8/11 0.7272727273 ,7/11= 0.6363636364 ,6/11= 0.5454545455

cnt(h1=1,same)=1/3
0.3333333333 ,2/3= 0.6666666667

cnt(h1=3,same)=2/3
0.6666666667 ,1/3= 0.3333333333

cnt(h1=1,!same)=4/8
0.5



cnt(h1=3,!same)=4/8
0.5

===
===pair(h1,h2)=(11,12),
N=7

Pair(11,12)



seq h1 h2 4n?(h1) 4n?(h2)
1 131 191 3 3 same
2 137 193 1 1 same
3 139 197 3 1
4 149 199 1 3
5 151 211 3 3 same
6 157 223 1 3
7 163 227 3 3 same
8 167 229 3 1
9 173 233 1 1 same
10 179 239 3 3 same
11 181 241 1 1 same
12 ? 251 ? 3 !pair
aaa





Same=7/11 0.6363636364 ,6/11= 0.5454545455

!same=4/11 0.3636363636



cnt(h1=1,same)=3/7
0.4285714286


cnt(h1=3,same)=4/7
0.5714285714 ,5/7= 0.7142857143

cnt(h1=1,!same)=2/4
0.5


cnt(h1=3,!same)=2/4
0.5
 --------------------------------------
[2]n=7,
===pair(h1,rev(h2,all))=(12,11),
N=7

Pair(12,11)




seq h1 rev(h2,all) 4n?(h1) 4n?(h2)

1 131 251 3 3 same
2 137 241 1 1 same
3 139 239 3 3 same
4 149 233 1 1 same
5 151 229 3 1

6 157 227 1 3

7 163 223 3 3 same
8 167 211 3 3 same
9 173 199 1 3

10 179 197 3 1

11 181 193 1 1 same
12 191 ? 3 ? !pair
aaa






Same=7/11 0.6363636364 ,6/11= 0.5454545455 ,8/11= 0.7272727273

!same=4/11 0.3636363636




cnt(h1=1,same)=3/7
0.4285714286 ,4/7= 0.5714285714

cnt(h1=3,same)=4/7
0.5714285714 ,5/7= 0.7142857143

cnt(h1=1,!same)=2/4
0.5



cnt(h1=3,!same)=2/4
0.5
===pair(h1,rev(h2,all))=(11,12),N=7

Pair(11,12)



seq h1 rev(h2,all) 4n?(h1) 4n?(h2)
1 131 251 3 3 same
2 137 241 1 1 same
3 139 239 3 3 same
4 149 233 1 1 same
5 151 229 3 1
6 157 227 1 3
7 163 223 3 3 same
8 167 211 3 3 same
9 173 199 1 3
10 179 197 3 1
11 181 193 1 1 same
12 ? 191 ? 3 !pair
aaa
--
Same=same as pair(12,11),
!same=same as pair(12,11),
--------------------------------------
[2]n=8,255<(p=43)<511, @(p=43)=(21,1,21)=cnt(h1,0.584,h2),
===pair(h1,h2)=(22,21),
seq h1 h2 4n?(h1) 4n?(h2)

1 257 389 1 1 same
2 263 397 3 1

3 269 401 1 1 same
4 271 409 3 1

5 277 419 1 3

6 281 421 1 1 same
7 283 431 3 3 same
8 293 433 1 1 same
9 307 439 3 3 same
10 311 443 3 3 same
11 313 449 1 1 same
12 317 457 1 1 same
13 331 461 3 1

14 337 463 1 3

15 347 467 3 3 same
16 349 479 1 3

17 353 487 1 3

18 359 491 3 3 same
19 367 499 3 3 same
20 373 503 1 3

21 379 509 3 1

22 383 ? 3 ? !pair
aaa Same=12/21 0.5714285714 ,11/21= 0.5238095238 ,13/21= 0.619047619

!same=9/21 0.4285714286




cnt(h1=1,same)=6/12
0.5



cnt(h1=3,same)=6/12
0.5



cnt(h1=1,!same)=5/9
0.5555555556



cnt(h1=3,!same)=4/9
0.4444444444


===
===pair(h1,h2)=(21,22),
seq

h1 h2 4n?(h1) 4n?(h2)


1 257 383 1 3


2 263 389 3 1


3 269 397 1 1 same

4 271 401 3 1


5 277 409 1 1 same

6 281 419 1 3


7 283 421 3 1


8 293 431 1 3


9 307 433 3 1


10 311 439 3 3 same

11 313 443 1 3


12 317 449 1 1 same

13 331 457 3 1


14 337 461 1 1 same

15 347 463 3 3 same

16 349 467 1 3


17 353 479 1 3


18 359 487 3 3 same

19 367 491 3 3 same

20 373 499 1 3


21 379 503 3 3 same

22 ? 509 ? 1 !pair

aaa Same=9/21
0.4285714286




!same=12/21
0.5714285714 ,11/21= 0.5238095238 ,13/21= 0.619047619

cnt(h1=1,same)=4/9
0.4444444444




cnt(h1=3,same)=5/9
0.5555555556




cnt(h1=1,!same)=7/12
0.5833333333 ,6/12= 0.5


cnt(h1=3,!same)=5/12
0.4166666667
===
--------------------------------------
[2]n=8,
===pair(h1,rev(h2,all))=(22,21),
 N=8

Pair(22,21)




seq h1 rev(h2,all) 4n?(h1) 4n?(h2)

1 257 509 1 1 same
2 263 503 3 3 same
3 269 499 1 3

4 271 491 3 3 same
5 277 487 1 3

6 281 479 1 3

7 283 467 3 3 same
8 293 463 1 3

9 307 461 3 1

10 311 457 3 1

11 313 449 1 1 same
12 317 443 1 3

13 331 439 3 3 same
14 337 433 1 1 same
15 347 431 3 3 same
16 349 421 1 1 same
17 353 419 1 3

18 359 409 3 1

19 367 401 3 1

20 373 397 1 1 same
21 379 389 3 1

22 383 ? 3 ? !pair
aaa






Same=10/21 0.4761904762




!same=11/21 0.5238095238 ,12/21= 0.5714285714 ,13/21= 0.619047619

cnt(h1=1,same)=5/10
0.5



cnt(h1=3,same)=5/10
0.5



cnt(h1=1,!same)=6/11
0.5454545455 ,7/11= 0.6363636364

cnt(h1=3,!same)=5/11
0.4545454545
===
===pair(h1,rev(h2,all))=(21,22),
N=8

Pair(21,22)




seq h1 rev(h2,all) 4n?(h1) 4n?(h2)

1 257 509 1 1 same
2 263 503 3 3 same
3 269 499 1 3

4 271 491 3 3 same
5 277 487 1 3

6 281 479 1 3

7 283 467 3 3 same
8 293 463 1 3

9 307 461 3 1

10 311 457 3 1

11 313 449 1 1 same
12 317 443 1 3

13 331 439 3 3 same
14 337 433 1 1 same
15 347 431 3 3 same
16 349 421 1 1 same
17 353 419 1 3

18 359 409 3 1

19 367 401 3 1

20 373 397 1 1 same
21 379 389 3 1

22 ? 383 ? 3 !pair
aaa






Same=10/21 0.4761904762




!same=11/21 0.5238095238 ,12/21= 0.5714285714 ,13/21= 0.619047619

cnt(h1=1,same)=5/10
0.5



cnt(h1=3,same)=5/10
0.5



cnt(h1=1,!same)=6/11
0.5454545455 ,7/11= 0.6363636364

cnt(h1=3,!same)=5/11
0.4545454545
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@(same,!sameのサマリで、(0.577...)が現れてきた、、、@なぜか編集が重い！html多用しすぎたか、、、
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end.
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