62 is carréphylic - approach of √62 ~ 7.8740078740
Subsequent approximations of √62 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-62p2 = 1 | | | |
| d = distance to nearest square N2: | -2 | | | |
| Smallest non-trivial s: | (2*64-2)/2 | rational: 63 | actual: 63 | ⇒ F=126 |
| Smallest non-trivial p: | 2*8/2 | rational: 8 | actual: 8 | ⇒ primus foldage=8 |
| v-value qt-blocks: | 82-62*12: | +2 | | |
| Number of series: | 14 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| s | 1 | 63 | 7937 | 999999 | ... |
| p | 0 | 8 | 1008 | 127000 | ... |
| In the numerator: | U(1,63)126 | = | 1/2*U(2,126)126 | - | half the secundus of 126. |
| In the denominator: | U(0,8)126 | = | 8*U(0,1)126 | - | the 8-fold primus of 126. |
| as well as ... |
| In the numerator: | U(0,496)126 | = | 496*U(0,1)126 | - | the 62*8-fold primus of 126. |
| In the denominator: | U(1,63)126 | = | 1/2*U(2,126)126 | - | half the secundus of 126. |
| and ... |
| In the numerator: | U(8,8)126 | = | 8*U(1,1)126 | - | the 8-fold tertius of 126. |
| In the denominator: | U(-1,1)126 | = | | - | the quartus of 126. |
| and ... |
| In the numerator: | U(-31,31)126 | = | 31*U(-1,1)126 | - | the 31-fold quartus of 126. |
| In the denominator: | U(4,4)126 | = | 4*U(1,1)126 | - | the 4-fold tertius of 126. |
