The name Gaetane in Hebrew letters is גאהטן. Below: how its number adds up, which page of the Torah it falls on and what verse stands there. Everything is computed, nothing is guessed.
גאהטן
In short
Your name in Hebrew letters is גאהטן. Gaétane is a personal name of Latin origin: it comes from the word Caietanus, which means “from the town of Gaeta”. Today this name is common in France. In Hebrew it is written by sound. Adding up the numbers of its letters gives 68 — the same as the Torah word חלל, “to begin”. That number points to Torah page 68 of 354 — in the portion Vayeshev. What that portion is about: Joseph's dreams and his sale by his brothers; Judah and Tamar; Joseph in Potiphar's house and in prison; the dreams of the butler and the baker. The verse that begins with the first letter of your name and ends with the last is Deuteronomy 28:50. Each of these steps is laid out below with its sources. Every figure can be checked by hand.
You wrote “Gaetane” — this exact spelling is what was calculated: גאהטן. A name from the Tanakh — its Tanakh spelling is used. If your name is spelled differently, correct the Hebrew spelling and the report is recomputed.
Adding up the letters of the name גאהטן gives 68.
68
The number 68 is the Torah word חלל — «to begin» (Genesis 4:26).
And Joseph found favour in his sight, and he ministered unto him. And he appointed him overseer over his house, and all that he had he put into his hand.
This is from the portion Vayeshev. What it is about: Joseph's dreams and his sale by his brothers; Judah and Tamar; Joseph in Potiphar's house and in prison; the dreams of the butler and the baker.
Other ways of counting
The tradition counts the same name in several ways. The main one is above: each letter is its number. The other eight are old and checkable too; each gives its own number, and many of them have a Torah word with the same number.
Final letters as 500–900 (mispar gadol) — 718. A Torah word with the same number is תקריבו — “you shall offer” (Leviticus 1:2).
Reduced, each letter to one digit (mispar katan) — 23.
Ordinal: alef 1, bet 2 … tav 22 (mispar siduri) — 32. A Torah word with the same number is לב — “heart” (Genesis 6:5).
Cumulative: a letter plus all letters before it (mispar kidmi) — 262. A Torah word with the same number is אהרון — “Aaron, brother of Moses” (Exodus 4:14).
Squares of the letter values (mispar perati) — 2616.
Building: the sum grows with each letter (mispar bone’eh) — 102. A Torah word with the same number is בעל — “master, owner” (Genesis 14:13).
The letters that come out are רתצנט — not a word that stands in the Pentateuch. Atbash: letters mirrored, alef for tav, bet for shin, and the number of the resulting word — 749. A Torah word with the same number is תשמט — “you shall release” (Deuteronomy 15:3).
Filling: the names of the letters are counted — alef, bet, gimel… (milui) — 725. A Torah word with the same number is תקטירו — “you shall burn” (Leviticus 2:11).
The number 68 appears in the classical books 55 times across 26 works. The earliest mention is בעל הטורים על התורה (~1300).
Every letter of the name explained, the words and namesakes with references, the Hebrew date, the letter and tribe of the month, day 861 of your life (±1), the psalm by age, the attestations from the classical books — a PDF sent to your email.
The number of the day, every morning
Every date has a number too. Once a year it will match the number of your name — 68. The channel posts one number a day, one verse and the Torah page it lands on. Nothing after it, no mailing list.
Hebrew is written from right to left. גאהטן has 5 letters: ג Gimel, א Alef, ה He, ט Tet, ן final Nun. The first letter is Gimel, the last is final Nun.
For an engraving, a sign or a tattoo, show the spelling to someone who reads Hebrew: transliterating a name is a choice, not the only option.
The name גאהטן does not stand as a word in the Pentateuch — as with most names, including many Tanakh names from the later books.
The verse of your name
There is a custom: at the end of the prayer one says a Torah verse that begins with the first letter of one's name and ends with its last. For גאהטן these are ג and נ. The Pentateuch has exactly one such verse — Deuteronomy 28:50:
גוי עז פנים אשר לא ישא פנים לזקן ונער לא יחן
This is from the portion Ki Tavo. What it is about: “When you enter”: the first fruits and the declaration; the stones on Mount Ebal; blessings and admonitions.
«And Joseph found favour in his sight, and he ministered unto him. And he appointed him overseer over his house, and all that he had he put into his hand.»
Each Hebrew letter has a number; a word's number is their sum (alef 1 … tav 400). The page is the remainder modulo 354: the Torah divided into 354 pages of 861 letters, as the lunar year has 354 days. Everything can be checked by hand.