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[ÇóÖú] Ò»¸ö¼òµ¥µÄÊýѧÓë±à³ÌÎÊÌâ

ÊÇ·ñ´æÔÚn*10+1,n*10+3,n*10+5,n*10+7,n*10+9¶¼ÊǺÏÊýµÄ¡£Èç¹ûÓÐÊÇ·ñÓÐʲô¹æÂÉ£¬ÄÜ·ñÓñà³ÌÀ´ÊµÏÖ£¬ÀýÈçMatlab»òÕßÊÇCÓïÑÔ¡£
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»ØÌûÖö¥ ( ¹²ÓÐ3¸ö )

wangefang

Òø³æ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ÎÞÃû»¯Ñ©: »ØÌûÖö¥ 2013-06-17 12:54:28
ÕâÑùµÄnÊÇ´æÔÚµÄ, ±ÈÈç:
n=20, ¶ÔÓ¦µÄ
10*n+1=201=67*3,
10*n+3=203=29*7,
10*n+5=205=41*5,
10*n+7=207=23*9,
10*n+9=209=19*11.

»¹ÓÐn=32,51,53,62.

ÎÒÓÃMaple±àдÁËÒ»¸öСº¯ÊýAreallprime1() ÈçÏÂ:
Areallprime1:=proc(i,j)
local k,n,a,b:
for n from i to j do
   a:=array(1..5):
   b:=array(1..5):
   for k from 1 to 5 do
       b[k]:=10*n+(2*k-1):
       a[k]:=isprime(10*n+(2*k-1)):
   end do:
print(n,b,a);
end do:
end proc;

¾Ù¸öÀý×Ó, µ±ÎÒÃÇÔÚmaple ÖÐÊäÈëÃüÁî:
Areallprime1(50,60);
ÄÇô¾Í»áÊä³ö½á¹ûΪ:
50, [501, 503, 505, 507, 509], [false, true, false, false, true]
51, [511, 513, 515, 517, 519], [false, false, false, false, false]
52, [521, 523, 525, 527, 529], [true, true, false, false, false]
53, [531, 533, 535, 537, 539], [false, false, false, false, false]
54, [541, 543, 545, 547, 549], [true, false, false, true, false]
55, [551, 553, 555, 557, 559], [false, false, false, true, false]
56, [561, 563, 565, 567, 569], [false, true, false, false, true]
57, [571, 573, 575, 577, 579], [true, false, false, true, false]
58, [581, 583, 585, 587, 589], [false, false, false, true, false]
59, [591, 593, 595, 597, 599], [false, true, false, false, true]
60, [601, 603, 605, 607, 609], [true, false, false, true, false]
Õâ¸öÊý¾Ý±íµÄµÚÒ»ÁÐÊÇ n µÄÖµ, µÚ¶þÁÐÊÇ n ¶ÔÓ¦µÄ5¸öÊý,
µÚÈýÁÐÊÇÕâ5¸öÊýÊÇ·ñÎªËØÊý. ×¢ÒâÔÚÊý¾Ý±íµÄµÚÈýÁÐÖÐÖ»Òª³öÏÖ[false, false, false, false, false]
ÄÇôÕâ×éÊý¾Ý¶ÔÓ¦ÐÐÖеÚÒ»¸öλÖþÍÊÇȫΪºÏÊýµÄ¶ÔÓ¦µÄnµÄÖµ,
¶øµÚ¶þ¸öλÖþÍÊÇnËù¶ÔÓ¦µÄÕâ×éºÏÊý.
ÕâÑùµ±n=51,53 ʱ, ¶ÔÓ¦µÄÊý¶¼ÊǺÏÊý.

ÖÁÓÚ¹æÂÉ, ÎÒÖ»ÑéÖ¤ÁËn ´Ó1µ½100µÄÇé¿ö, Ä㻹¿ÉÒÔÑéÖ¤¸ü´óµÄһЩÊý.
»òÐíÄÜ·¢ÏÖÒ»µã¹æÂÉ, °ÑÕâЩnÖµÓÃÇúÏßÄâºÏÒ»ÏÂ, ¿´¿´Í¼ÏñÓÐÊ²Ã´ÌØµã.

ºÇºÇ, º¯ÊýдµÃ²»Ì«ÀíÏë, êÝЦ´ó·½ÁË.
Themorewedo,themorewecando.
12Â¥2013-06-15 07:38:15
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wangefang

Òø³æ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

ÎÞÃû»¯Ñ©: »ØÌûÖö¥ 2013-06-17 13:08:09
ÒýÓûØÌû:
12Â¥: Originally posted by wangefang at 2013-06-15 07:38:15
ÕâÑùµÄnÊÇ´æÔÚµÄ, ±ÈÈç:
n=20, ¶ÔÓ¦µÄ
10*n+1=201=67*3,
10*n+3=203=29*7,
10*n+5=205=41*5,
10*n+7=207=23*9,
10*n+9=209=19*11.

»¹ÓÐn=32,51,53,62.

ÎÒÓÃMaple±àдÁËÒ»¸öСº¯ÊýAreallprime1() ÈçÏÂ:
...

¸ÄÁËһϺ¯Êý, ¸üºÏÀíÁË. ¿ÉÒÔÁгö1~mµÄÂú×ãÌõ¼þµÄËùÓеÄn
> Areallprime:=proc(m)
> local k,n,a,b,c:
> for n from 1 to m do
>    a:=array(1..5):
>    b:=array(1..5):
>    for k from 1 to 5 do
>        a[k]:=isprime(10*n+(2*k-1)):
>        b[k]:=10*n+(2*k-1):
>    end do:
>    if(a[1]=false and a[2]=false and a[3]=false and a[4]=false and a[5]=false) then print(n,b);
>    end if:
> end do:
> end proc:
> Areallprime(100);
                 20, [201, 203, 205, 207, 209]
                 32, [321, 323, 325, 327, 329]
                 51, [511, 513, 515, 517, 519]
                 53, [531, 533, 535, 537, 539]
                 62, [621, 623, 625, 627, 629]
                 84, [841, 843, 845, 847, 849]
                 89, [891, 893, 895, 897, 899]
Themorewedo,themorewecando.
15Â¥2013-06-16 06:32:42
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

yumoym

ÖÁ×ðľ³æ (ÎÄ̳¾«Ó¢)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ÎÞÃû»¯Ñ©: »ØÌûÖö¥ 2015-01-23 12:05:17
a=1:100;
[b,c]=meshgrid(a*10,1:2:9);
d=b+c;
f=a(sum(~isprime(d))==5)

f=
20    32    51    53    62    84    89
ÕâÊÇ100ÒÔÄÚÂú×ãÌõ¼þµÄ¡£
18Â¥2013-06-16 14:48:42
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
»ØÌûÖ§³Ö ( ÏÔʾ֧³Ö¶È×î¸ßµÄǰ 50 Ãû )

ccyzrb

½ð³æ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
N-1=11*13*15*17*19
4Â¥2013-06-14 13:21:38
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
ÆÕͨ»ØÌû

ÈËÃñº£¾ü

ľ³æ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
±éÀú°¡£¬n=1,2,3,4,5,6....
Letbygonesbebygones.
2Â¥2013-06-14 12:15:01
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ÈËÃñº£¾ü

ľ³æ (Ö°Òµ×÷¼Ò)

ÒýÓûØÌû:
2Â¥: Originally posted by ÈËÃñº£¾ü at 2013-06-14 12:15:01
±éÀú°¡£¬n=1,2,3,4,5,6....

ËØÊýµÄÎÊÌâ±¾À´¾ÍÊÇÒ»¸ö»¹Ã»Óнâ¾öµÄÎÊÌâ
Letbygonesbebygones.
3Â¥2013-06-14 12:15:28
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ÎÞÃû»¯Ñ©

½ð³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by ÈËÃñº£¾ü at 2013-06-14 12:15:01
±éÀú°¡£¬n=1,2,3,4,5,6....

5Â¥2013-06-14 14:47:38
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ÎÞÃû»¯Ñ©

½ð³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
3Â¥: Originally posted by ÈËÃñº£¾ü at 2013-06-14 12:15:28
ËØÊýµÄÎÊÌâ±¾À´¾ÍÊÇÒ»¸ö»¹Ã»Óнâ¾öµÄÎÊÌâ...

I know
ºÃ¶«Î÷Ҫѧ»á·ÖÏí
6Â¥2013-06-14 14:48:02
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ÎÞÃû»¯Ñ©

½ð³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
4Â¥: Originally posted by ccyzrb at 2013-06-14 13:21:38
N-1=11*13*15*17*19

ÕâÊý¿ÉÒÔÂð
ºÃ¶«Î÷Ҫѧ»á·ÖÏí
7Â¥2013-06-14 14:48:32
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zenmebuxing

ľ³æ (³õÈëÎÄ̳)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
µ±nΪ´óÓÚ1µÄÆæÊýµÄʱºò£¬ÕâЩÊý¶¼ÊǺÏÊý°¡¡££¨´óÓÚ2 µÄżÊý£©
8Â¥2013-06-14 16:27:17
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zenmebuxing

ľ³æ (³õÈëÎÄ̳)

ÒýÓûØÌû:
8Â¥: Originally posted by zenmebuxing at 2013-06-14 16:27:17
µ±nΪ´óÓÚ1µÄÆæÊýµÄʱºò£¬ÕâЩÊý¶¼ÊǺÏÊý°¡¡££¨´óÓÚ2 µÄżÊý£©

²»ºÃÒâ˼£¬¿´´íÁË£¬¿´³ÉÊÇn^10ÁË£»
9Â¥2013-06-14 16:28:13
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

°ÙÀïËÌÈñ

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