Prime numbers and genetic code

les nombres premiers et le code génétique

THE NUMERIC CONNECTIONS OF THE GENETIC CODE©

Study on the numeric connections codons-coded

LES RELATIONS NUMERIQUES DU CODE GENETIQUE©

Etude sur les relations numériques codons-codés

This study demonstrates the existence of connections between the total number of protons contained in every amino acid and its genetic coding.	Cette étude démontre l’existence de rapports entre le nombre total de protons contenus dans chaque acide aminé et son codage génétique.

This study also shows important effects of symmetry in the distribution of the total number of protons of coded (amino acids) in according to the configuration of their genetic coding (bases of DNA codons).	Cette étude démontre également d'importants effets de symétrie dans la répartition du nombre total de protons des codés (acides aminés) par rapport à la configuration de leur codage génétique (bases des codons de l’ADN).

In study complements, are described numerous other phenomena implicating also the number of neutrons, the number of atoms, and other physical entities as for example the Petoukhov’s modules.	En compléments de l’étude sont décrits de nombreux autres phénomènes impliquant aussi les nombres de neutrons, les nombres d’atomes et d’autres entités physiques comme par exemple les modules de Petoukhov.

Some examples of phenomena described in the study

the numbers are quantities of protons in the coded amino acids (4 coded)

A box is the total number of protons of 4 coded with the two identical first DNA bases

In the following frame, the sums of same colour boxes

are quite multiple of the prime number

Concentration of multiples of the prime number 7 to the genetic coding of the proline

In these configurations of multiples of the prime number 7: a regular phenomenon of more and more strong concentration to the genetic coding of the proline
16 boxes group multiple…	…then twice 8 boxes group…	…then twice 4 boxes group…	…then twice 2 boxes group…	and finally twice 1 box group!

572 x 7	256 x 7	132 x 7	68 x 7	36 x 7

In the following frame appear symmetric phenomena of multiples of the prime number 13. The sums of the values connected by the same colour are quite multiple of the prime number

Symmetrical associations of multiples of the prime number 13

Symmetrical configuration of multiples of 13 with symmetrical identical sums


172 x 13	172 x 13	156 x 13	156 x 13

In the following frame appear symmetric phenomena of multiples of the prime number 11. The sums of the values connected by the same colour are quite multiple of

Symmetrical associations of multiples of the prime number 11

Perfectly symmetric subgroups of multiples of the prime number 11
perfectly symmetrical subdivisions		perfectly symmetrical subdivisions



perfectly symmetrical subdivisions		perfectly symmetrical subdivisions

For more details and to discover numerous other numerical phenomena connecting the codons with the coded, please consult the whole study…

Pour plus de détails et pour découvrir de nombreux autres phénomènes numériques reliant les codons aux codés, consulter l'étude entière…

to consult the whole study

English version

consulter l'étude entière

version française

Others articles about genetic code by Jean-Yves BOULAY:

THE ARITHMETICAL PHENOMENA OF SYMMETRY IN THE GENETIC CODE WITH THE MODULES OF SERGEI PETOUKHOV

By Jean-Yves BOULAY: paper introduced in August 2006 in the

Symmetry Festival 2006
at the Conference of Budapest

This article investigates the molecular modules system proposed by Professor Sergei Petoukhov. This study describes numerous phenomena of symmetry in the distribution of the amino acids in the genetic code table. These phenomena consist to arithmetical arrangements of sets of modules numbers, or/and protons numbers which are counted in each of the 20 amino acids used by the standard genetic code. These arithmetical phenomena are by configurations of multiples of prime numbers also.

Molecular structure

Petoukhov’s structure

10 atoms - 40 protons

5 modules - 40 protons

Shcherbak’s arithmetic and Boulay’s arithmetic (The proline hypothesis)

Connections between the arithmetic of Shcherbak *(Shcherbak, V. I. Sixty-four triplets and 20 canonical amino acids of genetic code: the arithmetical regularities. Part II //J. theor. Biol., v. 166, p. 475-477, 1994) and the phenomena describing in the study “The numeric connections of the genetic code©” Jean-Yves Boulay. Presentation of a hypothesis on the proline structure.

Connections between searches Sergei PETOUKHOV and searches Jean-Yves BOULAY

Connections between the Petoukhov’s structure (S.V.Petoukhov “Genetic Code and the Ancient Chinese “Book Of Changes”” , “Symmetry: Culture and Science”) and the phenomena describing in the study “The numeric connections of the genetic code©” Jean-Yves Boulay.

The hyper genetic code

The genetic code is constituted by 64 codons but also by 120 “hyper codons”. In the distribution of the protons numbers in the hyper genetic code table appears sophisticated phenomenon of numerous multiples of the prime number 7 which are organised in spiral form.

Rank of the amino acid according to the protons number

According to their protons number, the 20 amino acids can be classified in 14 ranks. These 14 ranks are regrouped in two sets. In the distribution of the protons numbers in the genetic code table appear symmetric phenomena of prime number 7 multiples for each set.


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