Calculation of to 100,000 decimals

Authors:
Daniel Shanks and John W. Wrench

Journal:
Math. Comp. **16** (1962), 76-99

MSC:
Primary 65.99

DOI:
https://doi.org/10.1090/S0025-5718-1962-0136051-9

MathSciNet review:
0136051

Full-text PDF

References | Similar Articles | Additional Information

**[1]**G. Reitwiesner, ``An ENIAC determination of and e to more than 2000 decimal places,''*MTAC*, v. 4, 1950, p. 11-15. MR**0037597 (12:286i)****[2]**S. C. Nicholson & J. Jeenel, ``Some comments on a NORC computation of ,''*MTAC*, v. 9, 1955, p. 162-164. MR**0075672 (17:789b)****[3]**G. E. Felton, ``Electronic computers and mathematicians,''*Abbreviated Proceedings of the Oxford Mathematical Conference for Schoolteachers and Industrialists at Trinity College, Oxford, April 8-18, 1957*, p. 12-17, footnote p. 12-53. This published result is correct to only 7480D, as was established by Felton in a second calculation, using formula (5), completed in 1958 but apparently unpublished. For a detailed account of calculations of see J. W. Wrench, Jr., ``The evolution of extended decimal approximations to ,''*The Mathematics Teacher*, v. 53, 1960, p. 644-650.**[4]**F. Genuys, ``Dix milles decimales de ,''*Chiffres*, v. 1, 1958, p. 17-22. MR**0094928 (20:1436)****[5]**This unpublished value of to 16167D was computed on an IBM 704 system at the Commissariat à l'Energie Atomique in Paris, by means of the program of Genuys.**[6]**C. Störmer, ``Sur l'application de la théorie des nombres entiers complexes à la solution en nombres rationnels, , ,*k*de l'équation ,''*Archiv for Mathematik og Naturvidenskab*, v. 19, 1896, p. 69.**[7]**C. F. Gauss,*Werke*, Göttingen, 1863; 2nd ed., 1876, v. 2, p. 499-502.**[8]**S. Ramanujan, ``Modular equations and approximations to ,''*Quart. J. Pure Appl. Math.*, v. 45, 1914, p. 350-372;*Collected papers of Srinivasa Ramanujan*, Cambridge, 1927, p. 23-39. MR**2280849**

Retrieve articles in *Mathematics of Computation*
with MSC:
65.99

Retrieve articles in all journals with MSC: 65.99

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1962-0136051-9

Article copyright:
© Copyright 1962
American Mathematical Society