26 is carréphylic - approach of √26 ~ 5.0990195136
Subsequent approximations of √26 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-26p2 = 1 | | | |
| d = distance to nearest square N2: | +1 | | | |
| Smallest non-trivial s: | (2*25+1)/1 | rational: 51 | actual: 51 | ⇒ F=102 |
| Smallest non-trivial p: | 2*5/1 | rational: 10 | actual: 10 | ⇒ primus foldage=10 |
| v-value qt-blocks: | 52-26*12: | -1 | | |
| Number of series: | 11 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| s | 1 | 51 | 5201 | 530451 | 54100801 | ... |
| p | 0 | 10 | 1020 | 104030 | 10610040 | ... |
| In the numerator: | U(1,51)102 | = | 1/2*U(2,102)102 | - | half the secundus of 102. |
| In the denominator: | U(0,10)102 | = | 10*U(0,1)102 | - | the 10-fold primus of 102. |
| as well as ... |
| In the numerator: | U(0,260)102 | = | 260*U(0,1)102 | - | the 26*10-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(-5,5)102 | = | 5*U(-1,1)102 | - | the 5-fold quartus of 102. |
| In the denominator: | U(1,1)102 | = | | - | the tertius of 102. |
