74 is carréphobic - approach of √74 ~ 8.6023252670
Subsequent approximations of √74 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-74p2 = 1 | | | |
| d = distance to nearest square N2: | -7 | | | |
| Smallest non-trivial s: | (2*81-7)/7 | rational: 155/7 | actual: 3699 | ⇒ F=7398 |
| Smallest non-trivial p: | 2*9/7 | rational: 18/7 | actual: 430 | ⇒ primus foldage=430 |
| v-value qt-blocks: | 432-74*52: | -1 | | |
| Number of series: | 25 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| s | 1 | 3699 | 27365201 | ... |
| p | 0 | 430 | 3181140 | ... |
| In the numerator: | U(1,3699)7398 | = | 1/2*U(2,7398)7398 | - | half the secundus of 7398. |
| In the denominator: | U(0,430)7398 | = | 430*U(0,1)7398 | - | the 430-fold primus of 7398. |
| as well as ... |
| In the numerator: | U(0,31820)7398 | = | 31820*U(0,1)7398 | - | the 74*430-fold primus of 7398. |
| In the denominator: | U(1,3699)7398 | = | 1/2*U(2,7398)7398 | - | half the secundus of 7398. |
| and ... |
| In the numerator: | U(-43,43)7398 | = | 43*U(-1,1)7398 | - | the 43-fold quartus of 7398. |
| In the denominator: | U(5,5)7398 | = | 5*U(1,1)7398 | - | the 5-fold tertius of 7398. |
