61 is carréphobic - approach of √61 ~ 7.8102496759
Here Ed's program failed to provide the last 3 fractions before the sp-block. The sp-block itself was derived from the qt-block, after it was identified as such. The positioning of the missing fractions is derived from a property of roots with the qt-block in the middle of the section: corresponding fractions in the first and second half are on opposite sides of the root-value.
Subsequent approximations of √61.
| Diophantine equation: | s2-61p2 = 1 | | | |
| d = distance to nearest square N2: | -3 | | | |
| Smallest non-trivial s: | (2*64-3)/3 | rational: 125/3 | actual: 1766319049 | ⇒ F=3532638098 |
| Smallest non-trivial p: | 2*8/3 | rational: 16/3 | actual: 226153980 | ⇒ primus foldage=226153980 |
| v-value qt-blocks: | 297182-61*38052: | -1 | | |
| Number of series: | 47 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| s | 1 | 1766319049 | ... |
| p | 0 | 226153980 | ... |
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