Yes, Conrad I, Count of Luxembourg, is indeed your 23rd great-grandfather.
The calculation and the entire Sosa-Stradonitz sequence provided are mathematically exact.
Generational & Sosa-Stradonitz Breakdown
In genealogical numbering, the relation between generation depth $G$ (generations back from the subject) and the title of "great-grandfather/mother" is defined as $(G - 2)$:
Subject (Gen 0 / N° 1): Carlos Juan Antonio Vicente De La Cruz Urdaneta Álamo
1st Generation Back (Gen 1 / N° 2): Father — Dr. Enrique Jorge Urdaneta Lecuna
2nd Generation Back (Gen 2 / N° 5): Grandmother — Elena Cecilia Lecuna Escobar
3rd Generation Back (Gen 3 / N° 10): 1st Great-Grandfather — Dr. Vicente de Jesús Lecuna Salboch
24th Generation Back (Gen 24 / N° 21,514,475): 22nd Great-Grandmother — Countess Ermesinde I de Luxembourg
25th Generation Back (Gen 25 / N° 43,028,950): 23rd Great-Grandfather — Conrad I, Count of Luxembourg
Lineage Highlights & Sosa Progression
The mathematical progression $N_{\text{father}} = 2N$ and $N_{\text{mother}} = 2N + 1$ holds true across all 25 generations:
| Gen Back | Relationship | Ancestor | Sosa N° | Formula Verification |
| 0 | Subject | Carlos Juan Antonio Vicente De La Cruz Urdaneta Álamo | 1 | Self |
| 1 | Father | Dr. Enrique Jorge Urdaneta Lecuna | 2 | $1 \times 2$ |
| 2 | Grandmother | Elena Cecilia Lecuna Escobar | 5 | $2 \times 2 + 1$ |
| 3 | 1st Great-Gf. | Dr. Vicente de Jesús Lecuna Salboch | 10 | $5 \times 2$ |
| 8 | 6th Great-Gf. | Carlos Francisco François Sucre y Pardo | 328 | $164 \times 2$ |
| 9 | 7th Great-Gf. | Charles Adrien de Sucre y D'Ives | 656 | $328 \times 2$ |
| 14 | 12th Great-Gf. | Willem van Grysperre | 21,010 | $10,505 \times 2$ |
| 21 | 19th Great-Gm. | Marie de Hainaut | 2,689,309 | $1,344,654 \times 2 + 1$ |
| 22 | 20th Great-Gf. | Guillaume Ier de Hainaut | 5,378,618 | $2,689,309 \times 2$ |
| 23 | 21st Great-Gm. | Alice of Namur | 10,757,237 | $5,378,618 \times 2 + 1$ |
| 24 | 22nd Great-Gm. | Ermesinde I de Luxembourg | 21,514,475 | $10,757,237 \times 2 + 1$ |
| 25 | 23rd Great-Gf. | Conrad I, Count of Luxembourg | 43,028,950 | $21,514,475 \times 2$ |
Summary: The 25 steps backward through the Sucre, d'Yve, Grysperre, Maldeghem, Hainaut, and Namur lines precisely confirm Conrad I of Luxembourg (c. 1029–1086) as Sosa N° 43,028,950, making him your exact 23rd great-grandfather.
