101 is carréphylic - approach of √101 ~ 10.0498756211
Subsequent approximations of √101 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-101p2 = 1 | | | |
| d = distance to nearest square N2: | +1 | | | |
| Smallest non-trivial s: | (2*100+1)/1 | rational: 201 | actual: 201 | ⇒ F=402 |
| Smallest non-trivial p: | 2*10/1 | rational: 20 | actual: 20 | ⇒ primus foldage=20 |
| v-value qt-blocks: | 102-101*12: | -1 | | |
| Number of series: | 21 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| s | 1 | 201 | 80801 | ... |
| p | 0 | 20 | 8040 | ... |
| In the numerator: | U(1,201)402 | = | 1/2*U(2,402)402 | - | half the secundus of 402. |
| In the denominator: | U(0,20)402 | = | 20*U(0,1)402 | - | the 20-fold primus of 402. |
| as well as ... |
| In the numerator: | U(0,2020)402 | = | 2020*U(0,1)402 | - | the 101*20-fold primus of 402. |
| In the denominator: | U(1,201)402 | = | 1/2*U(2,402)402 | - | half the secundus of 402. |
| and ... |
| In the numerator: | U(-10,10)402 | = | 10*U(-1,1)402 | - | the 10-fold quartus of 402. |
| In the denominator: | U(1,1)402 | = | | - | the tertius of 402. |
