2023年3月14日

円周率の最良近似分数の一覧

ここに記す物は僕が算出した物に限る。数値が巨大になった時点で算出を諦めているが歯抜けは無いはずである。「一致桁」は小数第何位まで一致しているかということ。

分数 小数 誤差 一致桁
3/1 3.000000 -1.416E-01 0
13/4 3.250000 1.084E-01 0
16/5 3.200000 5.841E-02 0
19/6 3.166666 2.507E-02 1
22/7 3.142857 1.264E-03 2
179/57 3.140350 -1.242E-03 2
201/64 3.140625 -9.677E-04 2
223/71 3.140845 -7.476E-04 2
245/78 3.141025 -5.670E-04 3
267/85 3.141176 -4.162E-04 3
289/92 3.141304 -2.883E-04 3
311/99 3.141414 -1.785E-04 3
333/106 3.141509 -8.322E-05 4
355/113 3.141592 2.668E-07 6
52163/16604 -2.662E-07 6
52518/16717 -2.626E-07 6
52873/16830 -2.591E-07 6
53228/16943 -2.555E-07 6
53583/17056 -2.521E-07 6
53938/17169 -2.487E-07 6
54293/17282 -2.453E-07 6
54648/17395 -2.420E-07 6
55003/17508 -2.387E-07 6
55358/17621 -2.355E-07 6
55713/17734 -2.323E-07 6
56068/17847 -2.291E-07 6
56423/17960 -2.260E-07 6
56778/18073 -2.229E-07 6
57133/18186 -2.198E-07 6
57488/18299 -2.168E-07 6
57843/18412 -2.139E-07 6
58198/18525 -2.109E-07 6
58553/18638 -2.080E-07 6
58908/18751 -2.052E-07 6
59263/18864 -2.024E-07 6
59618/18977 -1.996E-07 6
59973/19090 -1.968E-07 6
60328/19203 -1.941E-07 6
60683/19316 -1.914E-07 6
61038/19429 -1.887E-07 6
61393/19542 -1.861E-07 6
61748/19655 -1.835E-07 6
62103/19768 -1.809E-07 6
62458/19881 -1.784E-07 6
62813/19994 -1.758E-07 6
63168/20107 -1.734E-07 6
63523/20220 -1.709E-07 6
63878/20333 -1.685E-07 6
64233/20446 -1.661E-07 6
64588/20559 -1.637E-07 6
64943/20672 -1.613E-07 6
65298/20785 -1.590E-07 6
65653/20898 -1.567E-07 6
66008/21011 -1.544E-07 6
66363/21124 -1.522E-07 6
66718/21237 -1.499E-07 6
67073/21350 -1.477E-07 6
67428/21463 -1.456E-07 6
67783/21576 -1.434E-07 6
68138/21689 -1.413E-07 6
68493/21802 -1.391E-07 6
68848/21915 -1.370E-07 6
69203/22028 -1.350E-07 6
69558/22141 -1.329E-07 6
69913/22254 -1.309E-07 6
70268/22367 -1.289E-07 6
70623/22480 -1.269E-07 6
70978/22593 -1.249E-07 6
71333/22706 -1.230E-07 6
71688/22819 -1.211E-07 6
72043/22932 -1.191E-07 6
72398/23045 -1.172E-07 6
72753/23158 -1.154E-07 6
73108/23271 -1.135E-07 6
73463/23384 -1.117E-07 6
73818/23497 -1.099E-07 6
74173/23610 -1.081E-07 6
74528/23723 -1.063E-07 6
74883/23836 -1.045E-07 6
75238/23949 -1.028E-07 6
75593/24062 -1.010E-07 6
75948/24175 -9.930E-08 6
76303/24288 -9.760E-08 6
76658/24401 -9.591E-08 6
77013/24514 -9.424E-08 6
77368/24627 -9.258E-08 6
77723/24740 -9.094E-08 6
78078/24853 -8.931E-08 6
78433/24966 -8.770E-08 6
78788/25079 -8.610E-08 6
79143/25192 -8.452E-08 6
79498/25305 -8.295E-08 6
79853/25418 -8.140E-08 6
80208/25531 -7.986E-08 6
80563/25644 -7.833E-08 6
80918/25757 -7.681E-08 6
81273/25870 -7.531E-08 6
81628/25983 -7.383E-08 6
81983/26096 -7.235E-08 6
82338/26209 -7.089E-08 6
82693/26322 -6.944E-08 6
83048/26435 -6.800E-08 6
83403/26548 -6.658E-08 6
83758/26661 -6.516E-08 6
84113/26774 -6.376E-08 6
84468/26887 -6.237E-08 6
84823/27000 -6.100E-08 6
85178/27113 -5.963E-08 6
85533/27226 -5.828E-08 6
85888/27339 -5.693E-08 6
86243/27452 -5.560E-08 6
86598/27565 -5.428E-08 6
86953/27678 -5.297E-08 7
87308/27791 -5.167E-08 7
87663/27904 -5.038E-08 7
88018/28017 -4.910E-08 7
88373/28130 -4.783E-08 7
88728/28243 -4.657E-08 7
89083/28356 -4.532E-08 7
89438/28469 -4.408E-08 7
89793/28582 -4.286E-08 7
90148/28695 -4.164E-08 7
90503/28808 -4.043E-08 7
90858/28921 -3.923E-08 7
91213/29034 -3.804E-08 7
91568/29147 -3.685E-08 7
91923/29260 -3.568E-08 7
92278/29373 -3.452E-08 7
92633/29486 -3.336E-08 7
92988/29599 -3.222E-08 7
93343/29712 -3.108E-08 7
93698/29825 -2.995E-08 7
94053/29938 -2.883E-08 7
94408/30051 -2.772E-08 7
94763/30164 -2.662E-08 7
95118/30277 -2.552E-08 7
95473/30390 -2.444E-08 7
95828/30503 -2.336E-08 7
96183/30616 -2.229E-08 7
96538/30729 -2.122E-08 7
96893/30842 -2.017E-08 7
97248/30955 -1.912E-08 7
97603/31068 -1.808E-08 7
97958/31181 -1.705E-08 7
98313/31294 -1.602E-08 7
98668/31407 -1.501E-08 7
99023/31520 -1.400E-08 7
99378/31633 -1.299E-08 7
99733/31746 -1.200E-08 7
100088/31859 -1.101E-08 7
100443/31972 -1.003E-08 7
100798/32085 -9.052E-09 7
101153/32198 -8.084E-09 7
101508/32311 -7.123E-09 7
101863/32424 -6.168E-09 7
102218/32537 -5.220E-09 7
102573/32650 -4.279E-09 7
102928/32763 -3.344E-09 8
103283/32876 -2.416E-09 8
103638/32989 -1.494E-09 8
103993/33102 -5.779E-10 9
104348/33215 3.316E-10 9
208341/66317 -1.224E-10 9
312689/99532 2.914E-11 9
833719/265381 -8.715E-12 11
1146408/364913 1.611E-12 10
3126535/995207 -1.143E-12 11
4272943/1360120 -4.041E-13 12
5419351/1725033 2.214E-14 12
42208400/13435351 -2.100E-14 13
47627751/15160384 -1.609E-14 13
53047102/16885417 -1.219E-14 13
58466453/18610450 -9.004E-15 13
63885804/20335483 -6.362E-15 13
69305155/22060516 -4.133E-15 13
74724506/23785549 -2.227E-15 14
80143857/25510582 -5.791E-16 14
165707065/52746197 1.641E-16 15
245850922/78256779 -7.818E-17 15
411557987/131002976 1.936E-17 16
657408909/209259755 -1.711E-17 16
1068966896/340262731 -3.070E-18 17
2549491779/811528438 5.514E-19 17
3618458675/1151791169 -5.185E-19 17
6167950454/1963319607 -7.627E-20 18
14885392687/4738167652 3.123E-20 19
21053343141/6701487259 -2.616E-22 21
899125804609/286200632530 2.597E-22 21
920179147750/292902119789 2.478E-22 21
941232490891/299603607048 2.364E-22 21
962285834032/306305094307 2.255E-22 21