[奇数式]
| π/4 = arctan(1/3)+arctan(1/5)+arctan(1/7)+arctan(1/9)+arctan(1/73) |
| π/4 = arctan(1/3)+arctan(1/5)+arctan(1/7)+arctan(1/13)+arctan(1/21) |
| π/4 = arctan(1/3)+arctan(1/5)+2arctan(1/7)-arctan(1/57) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/13)+arctan(1/47) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/17)+arctan(1/307) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/19)-arctan(1/343) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/23)-arctan(1/83) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/31)-arctan(1/43) |
| π/4 = 3arctan(1/3)-arctan(1/5)+arctan(1/57) |
| π/4 = 2arctan(1/3)+arctan(1/7) |
| π/4 = 2arctan(1/3)+arctan(1/11)+arctan(1/17)-arctan(1/133) |
| π/4 = 2arctan(1/3)+arctan(1/13)+arctan(1/17)+arctan(1/157) |
| π/4 = 2arctan(1/3)+arctan(1/13)+arctan(1/21)+arctan(1/57) |
| π/4 = 2arctan(1/3)+arctan(1/9)+arctan(1/27)-arctan(1/173) |
| π/4 = 2arctan(1/3)+arctan(1/9)+arctan(1/31)-arctan(1/993) |
| π/4 = 2arctan(1/3)+arctan(1/9)+arctan(1/33)+arctan(1/1057) |
| π/4 = 2arctan(1/3)+arctan(1/9)+arctan(1/37)+arctan(1/237) |
| π/4 = 2arctan(1/3)+arctan(1/9)+arctan(1/57)+arctan(1/73) |
| π/4 = 2arctan(1/3)+2arctan(1/17)+arctan(1/41) |
| π/4 = 2arctan(1/5)+arctan(1/7)+2arctan(1/9)+2arctan(1/73) |
| π/4 = 2arctan(1/5)+arctan(1/7)+2arctan(1/13)+2arctan(1/21) |
| π/4 = 2arctan(1/5)+3arctan(1/7)-2arctan(1/57) |
[素数式]
| π/4 = arctan(1/2)+arctan(1/3) |
| π/4 = 2arctan(1/2)-arctan(1/7) |
| π/4 = 2arctan(1/3)+arctan(1/7) |
| π/4 = 2arctan(1/2)-arctan(1/5)+arctan(1/13)-arctan(1/47) |
| π/4 = 2arctan(1/2)-arctan(1/5)+arctan(1/23)+arctan(1/83) |
| π/4 = 2arctan(1/2)-arctan(1/5)+arctan(1/31)+arctan(1/43) |
| π/4 = 2arctan(1/2)-2arctan(1/17)-arctan(1/41) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/13)+arctan(1/47) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/23)-arctan(1/83) |
| π/4 = 2arctan(1/3)+arctan(1/5)-arctan(1/31)-arctan(1/43) |
| π/4 = 2arctan(1/3)+2arctan(1/17)+arctan(1/41) |
[ﾌｨﾎﾞﾅｯﾁ数式]
| π/4 = arctan(1/1) |
| π/4 = arctan(1/2)+arctan(1/3) |
| π/4 = arctan(1/2)+arctan(1/5)+arctan(1/8) |
| π/4 = arctan(1/2)+arctan(1/5)+arctan(1/13)+arctan(1/21) |
| π/4 = arctan(1/2)+arctan(1/3)+arctan(1/8)-arctan(1/13)-arctan(1/21) |
| π/4 = arctan(1/2)+arctan(1/3)-arctan(1/8)+arctan(1/13)+arctan(1/21) |
| π/4 = arctan(1/2)+arctan(1/5)+arctan(1/13)+arctan(1/34)+arctan(1/55) |
| π/4 = arctan(1/2)-arctan(1/3)+2arctan(1/5)+2arctan(1/8) |
[ﾒﾙｾﾝﾇ数式]
| π/4 = arctan(1/2)+arctan(1/3) |
| π/4 = 2arctan(1/2)-arctan(1/7) |
| π/4 = 2arctan(1/3)+arctan(1/7) |