Category Archives: Language

Mountain and Caves

Grain in the mountain hieroglyph shape Mountain

Mountain (djew)

The hieroglyphic sign for “mountain” depicted to peaks with a valley running between them. This image approximated the hills that rose up on either side of the Nile valley.

Although the djew hieroglyph did portray the mountain ranges the Egyptians saw in their everyday lives, it also was a visualization of their cosmic beliefs. Symbolically, the “mountain” was an image of the universal mountain whose two peaks were imagined to hold up the sky. The eastern peak was called Bakhu, to the west was Manu. The ends of this great mountain were guarded by two lions who were called Aker. Aker was a protector of the the sun as it rose and set each day. Continue reading

Prime Encryption

 Primes, Modular Arithmetic, and Public Key Cryptography
(April 15, 2004)


Every cipher we have worked with up to this point has been what is called a symmetric key cipher, in that the key with which you encipher a plaintext message is the same as the key with which you decipher a ciphertext message. As we have discussed from time to time, this leads to several problems. One of these is that, somehow, two people who want to use such a system must privately and secretly agree on a secret key. This is quite difficult if they are a long distance apart (it requires either a trusted courier or an expensive trip), and is wholly impractical if there is a whole network of people (for example, an army) who need to communicate. Even the sophisticated Enigma machine required secret keys. In fact, it was exactly the key distribution problem that led to the initial successful attacks on the Enigma machine.

However, in the late 1970’s, several people came up with a remarkable new way to solve the Continue reading

Prime Arithmetic Progression

Prime Phyllotaxis Spirals | Maxwell's DemonPrime Arithmetic Progression

By MathWorld

An arithmetic progression of primes is a set of primes of the form p_1+kd for fixed p_1 and d and consecutive k, i.e., {p_1,p_1+d,p_1+2d,...}. For example, 199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089 is a 10-term arithmetic progression of primes with difference 210.

It had long been conjectured that there exist arbitrarily long sequences of primes in arithmetic progression (Guy 1994). As early as 1770, Lagrange and Waring investigated how large the common difference of an arithmetic progression of n primes must be. In 1923, Hardy and Littlewood (1923) made a very general conjecture known as the k-tuple conjecture about the distribution of prime constellations, which includes the hypothesis that there exist infinitely long prime arithmetic progressions as a special case. Important additional theoretical progress was subsequently made by van der Corput (1939), who proved than there are infinitely many triples of primes in arithmetic progression, and Heath-Brown (1981), who proved that there are infinitely many four-term progressions consisting of three primes and a number that is either a prime or semiprime. Continue reading

Arithmetic Progression of Primes

Why are there infinitely many prime numbers?Top 20 Arithmetic Progression of Primes

by Chris Caldwell

The Prime Pages keeps a list of the 5000 largest known primes, plus a few each of certain selected archivable forms and classes. These forms are defined in this collection’s home page. This page is about one of those forms.

Definitions and Notes

Are there infinitely many primes in most arithmetic progressions?  Certainly not if the common difference has a prime factor in common with one of the terms (for example: 6, 9, 12, 15, …).  In 1837, Dirichlet proved that in all other cases the answer was yes:

Dirichlet’s Theorem on Primes in Arithmetic Progressions
If a and b are relatively prime positive integers, then the arithmetic progression a, a+b, a+2b, a+3b, … contains infinitely many primes.

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Kleo Patra – the Key

cleopatraDefense for Spiritual Warfare
The Prayer of the Lord

Gnostic Teachings, 2013 [Excerpt edited]

See part 1 – Ptah Ra Pater


Let us discuss Cleopatra, the feminine aspect of this subject matter. We talked about the Father but what about the Mother? You find this marvelous archetype also in ancient Egypt. When people talk about Cleopatra, they always remember the Cleopatra who was with Mark Anthony, but they ignore that there were many Cleopatra long before her in ancient Egypt. A Cleopatra is a vestal of the temple. They are what we call in this day in age “nuns.”

Cleopatra derives from the Greek name Κλεοπατρα, Κλεος-Πτα (Kleopatra) which means “glory of Ptah, the father” derived from (κλεος – kleos) “glory.” This is combined with πατρος, patros, “of the father (Πτα – Ptah)” or Κλεος-Ποτήρ “glory of the cup” (ποτήρ – potēr). The cup, the yoni, the feminine sexual organ, is the Holy Grail. Thus, Kleo-poter is Cleopatra.  Potēr means cup, chalice, grail, the sexual yoni. When you say Cleopatra, you are indicating the feminine sexual force of God. This is why the Cleopatras were vestals in ancient Egypt.

  • Kleopatra: “keys to the father,” from kleis [κλείς] “keys” + patros [πατρος] father
  • Kleopatra, Kleopetra: “Keystone,” from kleis [κλείς] “keys” + petra [πέτρᾳ] “stone”

Thus, Kleopatra symbolizes the keystone, which in the previous lecture the speaker was explaining. The keystone of the temple, the cornerstone of th Continue reading

Ptah Ra Pater

ptahDefense for Spiritual Warfare
The Prayer of the Lord

Gnostic Teachings, 2013 [Excerpt edited]

The graphic is of the African symbol Ptah, which as an archetype was very active in ancient KMT (now Egypt). We find Ptah in the Bible as Tso-Phtah Paneach צפתה פענח [Genesis 41:45]. Thus, we are also going to explain what Ptah symbolizes. That is why at the bottom of this powerful symbol or archetype we wrote the quotation of Hosea chapter 11, verse 1.

All of the prayers and wisdom that we find in Christianity, Islam and Judaism, emerge from the same land: KMT. When we study the African archetypes, which are very profound, Gnostics do not fall into the mistake of thinking like the ignoramuses who think that these are “idols.” We know what idols are, and what archetypes are.

The Prayer of the Lord, called in Latin “Pater Noster,” is powerful when we recite it in Latin, given the fact that Latin is a Romanic root language of different romance languages, such as Spanish, French, Italian, and Portuguese. We also find Latin words in the English language. Continue reading

Titular Bible


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