104 is carréphylic - approach of √104=2√26 ~ 10.1980390272
Subsequent approximations of √104 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-104p2 = 1 | | | |
| d = distance to nearest square N2: | +4 | | | |
| Smallest non-trivial s: | (2*100+4)/4 | rational: 51 | actual: 51 | ⇒ F=102 |
| Smallest non-trivial p: | 2*10/4 | rational: 5 | actual: 5 | ⇒ primus foldage=5 |
| v-value qt-blocks: | 102-104*12: | -4 | | |
| Number of series: | 14 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| In the numerator: | U(1,51)102 | = | 1/2*U(2,102)102 | - | half the secundus of 102. |
| In the denominator: | U(0,5)102 | = | 5*U(0,1)102 | - | the 5-fold primus of 102. |
| as well as ... |
| In the numerator: | U(0,520)102 | = | 520*U(0,1)102 | - | the 104*5-fold primus of 102. |
| In the denominator: | U(1,51)102 | = | 1/2*U(2,102)102 | - | half the secundus of 102. |
| and ... |
| In the numerator: | U(-10,10)102 | = | 10*U(-1,1)102 | - | the 10-fold quartus of 102. |
| In the denominator: | U(1,1)102 | = | | - | the tertius of 102. |
