ȥȥ
30ޤǤˣĤΤ
8(12030)32ġ(1119)3221920
ᤤΤǤ⤦ޤZZZ
ʼ˸лԡ 929ڡ 0:07:22 MAIL:h-sakai@zb3.so-net.ne.jp 25880
Ҥܤ
ޤĿ120(1-1/2)(1-1/3)(1-1/5)32ĤȽФƤ顤
1203221920ȵޤ
ߤʤΤϤǤ礦
929ڡ 0:08:06 25881
ߥƥ
100 s=0
110 for i=1 to 119
120 if GCD(i,120)=1 then s=s+i
130 next i
140 print s
150 end
200 EXTERNAL FUNCTION GCD(a,b)
210 DO
220 LET r=MOD(a,b)
230 IF r=0 THEN EXIT DO
240 LET a=b
250 LET b=r
260 LOOP
270 LET GCD=b
280 END FUNCTION

餤ǽ餫ߤ||
929ڡ 0:10:39 HomePage:ߤ25882

٤Ƥθɬ˽񤭽Фޤ
֣פȡ֣̤ǿפȡǿƱΤѤǣ̤οפǤ
Ǥ⣵ʬ餤ɡ쥬ȤʲפĤʤä
顼θ 929ڡ 0:11:30 HomePage:25883

a120ȸߤǤǤ120-aߤ
λǰƤorz

˿ΣΤΥ饷λ˼ʬ̾ȤƤƵɶá
ʤ褯̾Ǥʤˡ
ȥȥʤ鲿ʬäꡩʾС
̤̪ 929ڡ 0:11:44 MAIL:ishizaki@qa.so-net.ne.jp 25884
taku
Ĵ٤ޤ
ʤäΤǡ
929ڡ 0:19:22 MAIL:takuo@kcv.ne.jp 25885

#25883

֣פȡ֣̤ǿפȡǿƱΤѤǣ̤οפǤ

֣פȡ֣̤Σʳǿפȡ֤Ѥǣ̤οפǤ

ǤΤʡ
顼θ 929ڡ 0:23:34 HomePage:25886
2709أǯ
飳ޤǤǣΣĤʤΤǣޤǤϣģܣᣱߣࣲᣱ
929ڡ 0:35:52 25887
ӣˣ
ȣȣܿ¤ǥ٥ޤĤäƥ֤飱¤Ȥκޤ
929ڡ 0:36:02 25888
ҤȤ
ϤʴǤ礦
nʲnȸߤǤǤ¡1/(2n)(na)(nb)(nc)
abcnǰ
929ڡ 0:49:55 MAIL:h-wada@cream.plala.or.jp 25889
ҤȤ
ޤޤ
1/2nnߡ11/a)(11/b)(11/c)ĤǤ͡
929ڡ 0:51:30 25890
ҤȤ
ޤޤ
1/2nnߡ11/a)(11/b)(11/c)ĤǤ͡
929ڡ 0:52:08 25891
ҤȤ
ޤޤ
1/2nnߡ11/a)(11/b)(11/c)ĤǤ͡
929ڡ 0:52:12 25892
Ȥ
basicǥإפgcdϤʤ(xmaxima5.9.1)1̿ʸ
for n:1 thru 119 step 2 do ldisplay(ezgcd(120,n))$
1+7+11+13+17+19+23+29+31+37+41+43+47+49+53+59+61+67+71+73+77+79+83+89+91+97+101+103+107+109+113+119;1920()
ޤ1ԤǤʤץĩ魯⼺
ηǼĤǡߥƥ󡡤Ρ#25882 Υץ
EXTERNAL FUNCTION ̵ޥɤΤ
ؤФƤޤ
˭ԡ 929ڡ 0:52:46 MAIL:fttnm528@ybb.ne.jp 25893
⡼ޥ
աá夲ޤ
7113ޤǤǿιס7^27*117*137*171 =1920
ݤ̵
ߤʤΤǤ
929ڡ 1:22:44 MAIL:kennji72001@yahoo.co.jp 25894
ߥƥ
>25882, >25893
ʥե򡣽˺Ƥޤޤǽ
10 DECLARE EXTERNAL FUNCTION GCD
Ƚ񤤤ƤְפǤ

ܤ
http://hp.vector.co.jp/authors/VA008683/tutorial/section4.htm
929ڡ 3:29:13 HomePage:ߤ25895
ϥ饮㡼ƥ
MATHEMATICAˤץǤ

褦䤯äʤޤ
̶彣 929ڡ 8:58:08 HomePage:ĩ25896
kasama
Ϥ褦ޤ

Question470()=
{
local(i,s);
s = 0;
for (i=1,119, if (gcd(i,120)==1, s += i));
print(s);
}
929ڡ 9:06:20 25897
uchinyan
ϤϤ褦ޤ
ϡȥ졼ȤǤ͡ȤƤϡĴپ夲ΤᤤǤ礦
ʤ̤ n ξ¤ϡ(n) n 꾮 n ȸߤǤʼθĿȤơ
1/2 * n * (n)
ˤʤޤ
ʤ(n) ϡ顼ؿȸƤФͭ̾ʤΤǤ
򡢰ˡ¾ΥȤDz򤤤Ȥޤ̣ϡ̣Ƕ̤Ǥ
http://www2.ocn.ne.jp/~mizuryu/renzoku.html

ʤperl Ǥåޤ­٤ΰɽޤ

@p = ();$s = 0;
foreach $a (1..119) {
if(($a % 2 != 0) && ($a % 3 != 0) && ($a % 5 != 0)) {
$s += $a;
push(@p,$a);
}
}
print "$s\n@p\n";
ͥνȡ 929ڡ 9:11:28 MAIL:uchi@sco.bekkoame.ne.jp 25898
uchinyan
#25898ʥ쥹Ǥ
http://www2.ocn.ne.jp/~mizuryu/renzoku.html
157ǤѤߤޤ
ͥνȡ 929ڡ 9:15:59 MAIL:uchi@sco.bekkoame.ne.jp 25899
ߤ
פ֤˰פǽޤ

ĤȣĤοΣ̤ޤǤ
­ܿФƤ餽Ȥ餷Ǥ
929ڡ 9:33:09 25900
ߤ뤯
ɬ˿ޤ
ɽΤ褦ˤȡʤʤ䤹Ǥ
ǥȤ¤٤­ޤɡ
929ڡ 13:44:21 25901
tapu
פ֤˽ޤ
929ڡ 16:23:55 25902

#29880
#25887
ȥȥΤ ȡ2709أǯβˡᤷƤߤޤ

120ʲ120ǤοkȤ硣120-kϡ120ʲǡ
120ФǤǤ롣
ʾ120-kǤǤʤȲꤷȤkǤǤʤʤ뤳Ȥ


120ʲǤθĿmȤȤ

k = (120-k) = 120m - k

k = (120m)2

120ʲǤθĿ

120 = 2^3 3 5Ǥ뤳Ȥ

2 3 5 = 30ʲǤοk'ȤȤ

30n+ k' ʣϼˤǤǤ뤫
ʤξڤӵդξϤߤǤǤʤȲꤹ뤳Ȥǵޤ

120ʲǤθĿ30ʲǤθĿ4(2^2)Ȥʤ롣

30ʲǤθĿ8Ĥ顢

ʦk = 120842 = 1920

ʤߤ˻ϥ1119ޤǤο񤭽Ф
2ܿ3ܿ5ܿƤιפޤ
929ڡ 20:35:50 25903
⡼ޥ
#25903
㤵ء
󡪡

120ʲǤθĿmȤȤ

k = (120-k)ΩȤ褯ʬʤǤɡääȤߺդƤꤨФ꤬ʤ
ΤȤϤ褯Ǥޤ
929ڡ 21:32:20 MAIL:kennji72001@yahoo.co.jp 25904
uchinyan
˻ޤäȡǼĤɤळȤǤޤ
ʹͤä򤤤ǤϤꡢݥȤϡ顼ؿλŪʤΤǤ礦
ҤȤ󤵤θϡn ǰ a, b, c ξ硢顼ؿ (n) n(1 - 1/a)(1 - 1/b)(1 - 1/c) ˤʤ뤳ȤǤ͡
30 Ƕڤäϡ顼ؿߤǤʿʬǤ뤳ȤбƤȻפޤ
ʤ#25895ǤؿؿǤϤʤؿСDECLAREʸפǤ
ޤ2, 3, 5 dzʤȤåнʬʤΤǡGCDʤƤǤޤ ^^:
ĿŪˤϡǿ򸫤ĤȤ륨饹ȥƥͥΤդ뤤Τ褦ˡ¤٤ơ2, 3, 5 ܿäƤäơ
ĤäΤ­ȤΤñִñʤ褦˻פޤ
1 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 49
+ 53 + 59 + 61 + 67 + 71 + 73 + 77 + 79 + 83 + 89 + 91 + 97
+ 101 + 103 + 107 + 109 + 113 + 119
= (1 + 119) + (7 + 113) + (11 + 109) + (13 + 107)+ (17 + 103) + (19 + 101) + (23 + 97) + (29 + 91)
+ (31 + 87) + (37 + 83) + (41 + 79) + (43 + 77) + (47 + 73) + (49 + 71) + (53 + 67) + (59 + 61)
= 120 * 16
= 1920
ͥνȡ 929ڡ 22:22:33 MAIL:uchi@sco.bekkoame.ne.jp 25905
uchinyan
⡼ޥ󤵤ν꤬ίޤäƤޤޤ (^^;
ʬäϰϤǡ
⡼ޥ󤵤ꡧ䤵
A={0123456789}ȤȤ
伡ξ1ˡ2ˤAʬSϲĤ뤫
1SǤϣ
2Sʤ2ĤǤФ¤ꡢ
䤽1ΰ̤ͤȡ09ޤǤο٤Ƹ롣
˲ϽФƤޤäͤƤߤΤǡդǽ񤤤Ƥޤ
ϡΤ 0 Ǥ͡ǽ餤ĤʤȻפäơץǥåޤ0 ˤʤäơ䤪䡢Ȼפޤ (^^;
ˡ褦 S äȤơǤ a, b, c, d, e Ȥޤ
ΤĤȤäƤ¤櫓Ǥ¤θĿϡ5C2 = 10 ̤Ǥ
ǡ1 ΰ̤ 0 9 ʤС礦 10 ĤʤΤǡĤĸ뤳Ȥˤʤޤ
äơN Ȥơ
(a + b) + (a + c) + ... + (d + e) = 10 * N + (0 + 1 + 2 + ... + 9) = 10 * N + 45 = 10 * (N + 4) + 5
Ĥޤꡢ¤ϡ10 dz;꤬ 5 ˤʤǤ
ǡ
(a + b) + (a + c) + ... + (d + e)
= (a + b) + (a + c) + (a + d) + (a + e) + (b + c) + (b + d) + (b + e) + (c + d) + (c + e) + (d + e)
= 4 * (a + b + c + d + e)
ʤΤǡƱ 4 ܿˤʤäƤޤ
Ȥ4 ܿ 10 dzä;꤬ 5 ˤʤ뤳ȤϤʤΤǡ̷Ǥ
äơ S ¸ߤ 0 ˤʤޤ
ͥνȡ 929ڡ 22:27:37 MAIL:uchi@sco.bekkoame.ne.jp 25906
uchinyan
⡼ޥ󤵤ꡧΣ

ɤΤ褦nĤȤ߹碌Ǥ⡢椫顢פ18dzڤ褦18Ĥο֤ȤǤ롣
䤽Τ褦nκǾͤߤĤƤ
ϡ35 ȻפޤʲޡȤǤϤʤΤǤä򤤤ȻפǤ

[]

򡢼Τ褦˰̲ޤ
(m)
ɤΤ褦 n ĤȤ߹碌Ǥ⡢椫顢פ m dzڤ褦 m Ĥο֤ȤǤ롣
䤽Τ褦 n κǾͤߤĤƤ
m dzڤ뤫ɤݥȤʤΤǡȤƤϡm dzä;ꡢ0 m-1 ǹͤФǤ

ơޤm = 2 ξͤޤ
n = 2 ǤϡդʤȤ߹碌Ȥ (0, 1) Τǡn >= 3 Ǥ
n = 3 ξϡ(0,0,0), (0,0,1), (0,1,1), (1,1,1) ʤΤǡդȤʬޤ
äơn = 3 Ǥ

ˡm = 3 ξǤ
Ʊͤˤơ(0,0,1,1), n = 4 դʤΤǡn >= 5 ǡn = 5 Ǽºݤ˰ĤĤߤĤ֤˶ŪĴ٤Ƥߤȡ
դȤʬޤ
(äɲ)
0, 1, 2 Τɤ줫Ĥ餫ʳξϡ
(0,0,1,1,2), (0,0,1,2,2), (0,1,1,2,2)
ʤǤդޤ
(ɲýλ)
äơn = 5 Ǥ

ˡm = 9 ξͤޤ
(0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1), n = 16 դʤΤǡn >= 17 Ǥǡn = 17 ͤޤ
m = 9 = 3 * 3 ܤޤ
17 > 5 ʤΤǡפ 3 dzڤ褦 3 ĤäƤ뤳ȤǤޤΤȤĤ 17 - 3 = 14 ĤǤ
14 > 5 ʤΤǡƱͤˤơפ 3 dzڤ褦 3 ĤäƤ뤳ȤǤޤĤ 14 - 3 = 11 ĤǤ
򷫤֤ơפ 3 dzڤ褦 3 ĤȤ 5 ȤޤǼäƤ뤳ȤǤޤ
ơ 5 Ȥˤϡ줾Ȥ 3 Ĥ¤ȤĤбƤޤ
Ĥޤꡢ5 Ĥ뤳Ȥˤʤޤ
ǡ 5 ĤˤĤƹͤȡפ 3 dzڤ褦 3 ĤäƤ뤳ȤǤޤ
ο 3 Ĥ¤ϡ3 ܿǤ줾줬 3 ܿäΤǡ3 * 3 = 9 ܿˤʤޤ
ޤǸ¤˴ͿθĿϡȤ 3 ĤĤäΤǡ3 * 3 = 9 ĤǤ
Ĥޤꡢn = 17 ΤȤפ 9 dzڤ褦 9 ĤäƤ뤳ȤǤޤ

ơ褤衢m = 18 = 2 * 9 Ǥ
ޤǤεۤȤ餫Ǥn = 2 * (18 - 1) = 34 Ǥդʤ㤬졢n >= 35 Ǥ
n = 35 ξϡפ 9 dzڤ褦 9 ĤȤ 3 ȤޤǼäƤ뤳ȤǤޤ
3 Ȥˤϡ줾Ȥ 9 Ĥ¤ȤĤġԹ硢3 ĤбƤޤ
ǡ 3 ĤˤĤƹͤȡפ 2 dzڤ褦 2 ĤäƤ뤳ȤǤޤ
ο 2 Ĥ¤ϡ2 ܿǤ줾줬 9 ܿäΤǡ9 * 2 = 18 ܿˤʤޤ
ޤǸ¤˴ͿθĿϡȤ 9 ĤĤäΤǡ9 * 2 = 18 ĤǤ
Ĥޤꡢn = 35 ΤȤפ 18 dzڤ褦 18 ĤäƤ뤳ȤǤޤ
ǡդǾ n ϡ35 ˤʤޤ

[]

βˡ򤤤ȻפΤϡm ξ硢ΰξǤǤ
ޤޤǤͤ顢n = 2m-1 ǤϤʤͽۤǤޤ
äơ⤷m = p p ǿФơn = 2m-1 = 2p-1 С
٤Ƥ m ФơǼˡˤäơn = 2m-1 ǤǤ
ǰʤ顢ΤȤm = p ξξϤǤƤޤ
ޤޡȤǤʤǤ
ͥνȡ 930ʶ 14:57:51 MAIL:uchi@sco.bekkoame.ne.jp 25907
uchinyan
#25904⡼ޥ󤵤
䤬Τ⼺餫⤷ޤ󤬡#25905κǸդμ򸫤ʬΤǤϤʤǤ礦
פϡ1 <---> 119, 7 <---> 113, ... ȤȤǤ
μκǽޤǤ򺸤鸫Τk鸫Τ(120-k) Ǥ
ͥνȡ 929ڡ 22:45:44 MAIL:uchi@sco.bekkoame.ne.jp 25908
n
ξ򤪼ڤꤷơ
uchinyan᡼ޤ
֤ȤƤ鹬Ǥ
餷ޤ
929ڡ 23:37:26 25909
⡼ޥ
#25906#25907#25908
uchinyanء

꤬Ȥޤ
ᦲ120 - ˤΰ̣λ򤷤ޤƤߤǤ͡
18Ĥοꡢ01ǹͤȷ㸶ǤʬΤǤ01ǹͤƤ褤ȤɤФΤ
930ʶ 8:16:14 MAIL:kennji72001@yahoo.co.jp 25910
uchinyan
nߤء
ʤ᡼ϡθ˸ޤ
θ塢ͥåȤˤϥǤƤ⡢᡼ܥåˤϥǤʤĶˤΤǡֻǤޤǤ
⤽Ǥֻޤ⤦ԤäƤ͡
ͥνȡ 930ʶ 8:17:35 MAIL:uchi@sco.bekkoame.ne.jp 25911
uchinyan
#25910
ȡ
18Ĥοꡢ01ǹͤȷ㸶ǤʬΤǤ
01ǹͤƤ褤ȤɤФΤ
ɤȤǤ礦
;ǤϤʤơ0 1 ǹͤ롩
ͥνȡ 930ʶ 8:21:02 MAIL:uchi@sco.bekkoame.ne.jp 25912
⡼ޥ
#25912
٤⤹ޤ󡣡
;01ΰ̣Ǥ
017Ĥ117ĤǹǤʾϤɤ;äƤƤ18dz㤦35Ĥˤʤޤ̣ͤȷ㡦org
930ʶ 9:11:04 MAIL:kennji72001@yahoo.co.jp 25913
uchinyan
#25913

017Ĥ117ĤǹǤʾϤɤ;äƤƤ18dz㤦35Ĥˤʤޤͤ
䤽̣ȷ㡦org
;ȡ2 17 ǽ顢ʴñǤϤʤǤ͡
⤬ 17 İʲʤ餤櫓顣
פˡ2 17 ͤʤƤ⤤ޤϡͤɡ
0 1 濴˹ͤñʾˤʤʤȤȤʡ
㤨С0 17 Ĥ 1 17 Ĥȡϡ0 17 1 Ĥˡ٤Ƥξ礬бդȤ
ͥνȡ 930ʶ 10:36:40 MAIL:uchi@sco.bekkoame.ne.jp 25914
ݤ
ߤʤޥǥߥå夬äƤ޼͡
ʽ񤭤ߤǶ̤ʤΤǼ򤬡ޥ뤵
Υ᡼ϤƤޤǼ򤫡
ä깹˺ƤơƤΣäȻפΤǤ
äѤ餤ŷ񡡡 930ʶ 12:27:14 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ25915
⡼ޥ
#25914
uchinyanء
0 1 濴˹ͤñʾˤʤʤȤȤʡ
㤨С0 17 Ĥ 1 17 Ĥȡϡ0 17 1 Ĥˡ٤Ƥξ礬бդȤ

ǤäȤϡ
ɤʤǤ礦ͤ
930ʶ 12:34:07 MAIL:kennji72001@yahoo.co.jp 25916
ޥ
#25915
ȡäĴ٤ƤߤΤǤɤϤƤʤ褦Ǥ..
PowerBook G4 930ʶ 13:27:05 MAIL:masaru-y@sansu.org HomePage:25917
⡼ޥ
դȻפäǤ4ʾζϣĤǿ¤ɽ Ȥͽ(ɥХåͽ)ޤ빽120ϣĤǿ¤ˤʤäƤޤ͡
줫ŪʤȤʤΤʡ
930ʶ 13:29:05 MAIL:kennji72001@yahoo.co.jp 25918

#25904
⡼ޥ󤵤
uchinyan󡡥ե꤬Ȥޤ

k = (120-k)
­Ǥ뤳ȤϼФƤޤ

ʲ­ޤ

2ʾNǤǤ룱N-1ޤǤmĤꤽ򾮤¤٤Τ
k(i)(i1mˤɽȤδط褦Ǥ

k(i) = N - k(m-i)ʭ

δطΩĤȤǤǤιפ

k(1) + k(2) ++ k(m) = k(1) ++ k(m/2) + k(m/2+1) ++ k(m)

= k(1) ++ k(m/2) + (N - k(m/2)) ++ (N - k(1))

= N/2m

ʤʤߤmɬˤʤޤ)

ϭδط٤ʤΤǤ

k'(i) = N - k(i)ʭ

Ȥʤk'(i)NФǤǤ뤳ȤϾǤޤ

k'(i) = k(m-i)ʭ

Ǥ뤳Ȥξä˴Τǭ򼡤Τ褦ѷ
ƨޤ

k'(i) = (N - k(i)) (i 1mޤǤ

k'(i)νk(i)νƱǤΤǤιפƱǤ
k'(i)k(i)νǤǤꡢƱΤ11δطˤ뤳Ȥ
Ǥޤ

k(i) = (N - k(i)) (i 1mޤǤ

Ȥʤޤʤiά(ۣˤ)ΤƬμ

ξk(i)mĤν(k(i),N-k(i))δطˤm/2ĤΥڥ
ʬ뤳Ȥ塢ŪǼˡȤн褽Ǥ
äȥץʾ뤫⤷ޤ

930ʶ 19:18:52 25919
uchinyan
#25919
ܤ⤢꤬Ȥޤ
ɤޤǾܤ̩˾뤫񤷤ȤǤ͡
ΥȤϻΥȤؤα齬ǤϤʤΤ顢
ĿŪˤϡޤڤľŪˡǤΤǤϤʤʤȻפäƤޤ ^^;
षǥˤʡδ֤ε̾λѷѤδͤΤ褦ˡ
ΰ̣ľŪʥȤ򤹤ȡδطϡ޳ѡ־ˡפȽƳƤΤ顢Ȥ⤢Ȼפޤ
äȤ⡢ξ¤˴ؤƤФΤǡ­Τν礬פƤСפϡk N-k N ȸߤǤȤȤǤ
ǽʬʡȤ⤷ޤ
ʤȤ⡢ϡǽβǽʬˤ褯ʬޤ ^^
ͥνȡ 930ʶ 22:19:11 MAIL:uchi@sco.bekkoame.ne.jp 25920
⡼ޥ
#25919
㤵ء⤢꤬Ȥޤ
k(i) = N - k(m-i)δط顢ɥХåϤäȹͤƤǤ
㤨С2xp (pϴǿˤξϡ2p=p+p 餫顢
㤨С2x2xp ξ硦
2x2x3=12 ξͤȡ12ǤʤߤǤʿ¤ϡ
1-11,5-7 (5^5<12) ʤΤǡ1-0=1Ĥ 5-7ǿƱΤ¡
2x2x5 ξ硢
1-19,3-17,7-13,11-9 (3^2=9<20) ʤΤǡ3-1=2Ĥ 3-17,7-13 Ρ
2x2x7 ξ硢
1-27,3-25,5-23,11-17,13-15 (3^2,3^3<28) ʤΤǡ4-2=2ĤϵΡ

2x2xpxq ξ硦
ȤС
2x2x3x5ξ硢
1-59,7-53,11-49,13-47,17-43,19-41,23-37,29-31 (7^2<60) ʤΤǡ7-1=6ĤϵΡ

ä뤤ɤʴ鲿ޤ󤫤͡
930ʶ 22:42:11 MAIL:kennji72001@yahoo.co.jp 25921
ham
Ū5ʬֹͤƤǤʤäΤǸ漼matlab
sum(find(gcd(1:119,120)==1)) = 1920
ġ
101ڡ 16:50:20 25922
ham
Ū5ʬֹͤƤǤʤäΤǸ漼matlab
sum(find(gcd(1:119,120)==1)) = 1920
ġ
101ڡ 16:55:42 25923

60x119-60x(59+39+23)+60x(19+11+7)-60(3)
2 3 5 6 10 15 30
102 8:30:04 25924
2709أǯ
(1ܣ)ߣࣲᣱԤ10ѡ2̤̤Ƥޤ轵ڤޤƤ餤꤬Ȥޤ줫ĥäƲ
102 16:46:00 25925
2709أǯ
(1ܣ)ߣࣲᣱԤ10ѡ2̤̤Ƥޤ轵ڤޤƤ餤꤬Ȥޤ줫ĥäƲ
102 16:46:05 25926
⡼ޥ
ɥХå
ΤǤʿȤ߹碌ΤǰΤǿξp1,p2pn ȤȤ1-2N,p1-(2N-p1),p2-(2N-p2),,pn-(2N-pn) Ȥڥͤȡ餫顢p1~pnܿȴΤϡǿƱΤȤ߹碌ˤʤäƤ롣
ȴ¿ʤ뤿ˤϡp1~pn Ȥɬס
ȤС
3^2,3^3,3^4,3^5=2434ġ
3*5,3^2*5,3^3*5,5^2*7,3^5^2=75,3*7,3^2*7,3*7^2,5*7,5^2*710ġ
ͤȡΡ2*11*13 =286ΤȤǤ⡢
286ޤǤǿϡ2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281 , 283
61ġ
Τ2NιǤ211133Ĥ58ĤǺ29ĤȤ߹碌ꤦ롣

Ūˡ286ξ硢
1-285,3-283,5-281,7-279,11-275,13-273,17-269,19-267,23-263,29-257,31-255,37-249,41-245,43-243,47-239,51-235,53-233,59-227,61-225,67-229,71-225,73-223,79-217,83-213,89-207,97-199,101-195,103-193,107-189,113-183,127-169,131-165,137-159,139-157,149-147
35ġ
줫顢357ܿΤȡ
3573Ĥȡ
3^2,3^3,3^4,3^5=2434ġ
3*5,3^2*5,3^3*5,5^2*7,3^5^2=75,3*7,3^2*7,3*7^2,5*7,5^2*710ġ
1ݤȤ߹碌Τơ18Ĥ
351817Ĥ

x ʲǿο (x) ɽȤ
(x)x/log(x) ʤΤǡ
礭ʤۤɡ()礭ʤꡢǿƱΤȤ߹碌ʲǽ礭ʤ롣
Ĥޤ־¸ߤ뤳Ȥи뤳Ȥˤʤ롣
2*2*3,2*3*3,2*3*5λФ褤ΤǤϡ
223λ
11157
233λ
117513711
235λ
12972311191317
ȤǿƱΤ¤¸ߤ뤫餳ʾ礭λϤäΩǿ¤Ȥ߹碌¿ʤ롣

äƤʤȤͤޤ

ߤʤΤոʹǤ
ľ˹ͤƤޤ
102 17:55:50 MAIL:kennji72001@yahoo.co.jp 25927
粬ҹ
פ֤ޤʡ˺ȣФ򸫤ƣʬͤƤʤäΤǡȾᤫƤޤ
⤦󸫤ʬʤä褦ȤƤɤ߰㤤ɤȤˤ˵դޤʡ
ʳϥʤǤ͡ǿȻפǤޤΤǡȳοƤޤΤǤɤƤˤʤǤ͡
Ϥտޤɤ߼ʤȡƬ椬ŻȻŻʳλǤäѤäѤǤˡʡ
102 18:24:50 MAIL:toshi009@land.hokuriku.ne.jp 25928
uchinyan
ޥ뤵¾͡ˤʤޤ
ߤ
aΤΤ줾ĺ濴ȤȾaε򤫤Ȥ,
䤽4Ĥεζ̤ʬѤ衣
Ǥߤȸ̤˥᡼ǵ³̡#25867βˡڤ
V/(a^3) = (32 - 81c)/12 + sqrt(2)/4
c ϡcos(c) = 1/3, 0< c < /2 Ρ
Ȥιդޤ
Ȥľܤ˴طʤǶ̤Ǥξڤơ𤷤Ƥޤ
꤬Ȥޤ
ͥνȡ 103ʷ 11:29:45 MAIL:uchi@sco.bekkoame.ne.jp 25929