Approximations of
|
# | Basel | Gregory-Leibniz | Nilakantha | Ramanujan | | 0 | 2.449489742783178 | 4 | 3.1666666666666665 | 3.1415927300133055 |
| 1 | 2.7386127875258306 | 2.666666666666667 | 3.1333333333333333 | 3.141592653589794 |
| 2 | 2.8577380332470415 | 3.466666666666667 | 3.145238095238095 | 3.141592653589793 |
| 3 | 2.9226129861250305 | 2.8952380952380956 | 3.1396825396825396 | 3.141592653589793 |
| 4 | 2.9633877010385707 | 3.3396825396825403 | 3.1427128427128426 | 3.141592653589793 |
| 5 | 2.9913764947484185 | 2.9760461760461765 | 3.1408813408813407 | |
| 6 | 3.011773947846214 | 3.2837384837384844 | 3.142071817071817 | |
| 7 | 3.027297856657843 | 3.017071817071818 | 3.1412548236077646 | |
| 8 | 3.0395075895610533 | 3.2523659347188767 | 3.141839618929402 | |
| 9 | 3.04936163598207 | 3.0418396189294032 | 3.1414067184965018 | |
| 10 | 3.0574815067075627 | 3.232315809405594 | 3.1417360992606653 | |
| 11 | 3.064287817833928 | 3.058402765927333 | 3.141479689004255 | |
| 12 | 3.0700753718932203 | 3.2184027659273333 | 3.1416831892077552 | |
| 13 | 3.0750569155713614 | 3.0702546177791854 | 3.1415189855952756 | |
| 14 | 3.079389826032086 | 3.208185652261944 | 3.141653394197426 | |
| 15 | 3.0831930203394537 | 3.079153394197428 | 3.1415419859977827 | |
| 16 | 3.086558025753714 | 3.200365515409549 | 3.1416353566793886 | |
| 17 | 3.089556434969781 | 3.0860798011238346 | 3.1415563302845726 | |
| 18 | 3.092245052300697 | 3.1941879092319425 | 3.1416238066678384 | |
| 19 | 3.094669524113704 | 3.09162380666784 | 3.141565734658547 | |
| 20 | 3.0968669499439283 | 3.189184782277596 | 3.1416160719181865 | |
| 21 | 3.098867793222209 | 3.0961615264636424 | 3.1415721544829647 | |
| 22 | 3.100697301395178 | 3.1850504153525314 | 3.141610699040473 | |
| 23 | 3.1023765763598083 | 3.099944032373808 | 3.141576685435031 | |
| 24 | 3.1039233917005755 | 3.1815766854350325 | 3.14160685134755 | |
| 25 | 3.1053528239462542 | 3.1031453128860127 | 3.141579973962182 | |
| 26 | 3.1066777454164556 | 3.1786170109992202 | 3.141604023986232 | |
| 27 | 3.1079092128133925 | 3.1058897382719475 | 3.141582418247748 | |
| 28 | 3.109056776410318 | 3.1760651768684385 | 3.1416019000322795 | |
| 29 | 3.1101287281412624 | 3.108268566698947 | 3.1415842726746206 | |
| 30 | 3.1111323022281687 | 3.1738423371907505 | 3.1416002736986863 | |
| 31 | 3.112073838611087 | 3.110350273698687 | 3.1415857049341174 | |
| 32 | 3.112958916985707 | 3.1718887352371485 | 3.1415990074057167 | |
| 33 | 3.113792467435733 | 3.112187242699835 | 3.1415868286211595 | |
| 34 | 3.1145788622931323 | 3.1701582571925884 | 3.1415980068013516 | |
| 35 | 3.1153219928400357 | 3.1138202290235744 | 3.141587722544492 | |
| 36 | 3.116025333692319 | 3.1686147495715193 | 3.14159720571187 | |
| 37 | 3.116691997112655 | 3.115281416238186 | 3.141588442545212 | |
| 38 | 3.1173247790439818 | 3.167229468186238 | 3.1415965567938327 | |
| 39 | 3.117926198299378 | 3.116596556793833 | 3.141589028940776 | |
| 40 | 3.1184985300665664 | 3.1659792728432157 | 3.1415960255684015 | |
| 41 | 3.1190438346665714 | 3.117786501758878 | 3.141589511334801 | |
| 42 | 3.1195639823326893 | 3.1648453252882898 | 3.141595586521309 | |
| 43 | 3.1200606746377715 | 3.118868313794037 | 3.141589911796533 | |
| 44 | 3.1205354630870756 | 3.163812134018756 | 3.141595220497494 | |
| 45 | 3.1209897653046594 | 3.1198560900627124 | 3.141590247006203 | |
| 46 | 3.1214248791690196 | 3.1628668427508844 | 3.1415949129263225 | |
| 47 | 3.121841995194823 | 3.1207615795929895 | 3.141590529729745 | |
| 48 | 3.1222422074094722 | 3.161998692995051 | 3.1415946525910106 | |
| 49 | 3.1226265229337264 | 3.121594652591011 | 3.1415907698497954 | |
| 50 | 3.122995870443018 | 3.1611986129870506 | 3.1415944307615087 | |