'Summary: The pattern of distribution of primes in the series of natural numbers.'

' outline: The physique of diffusion of vizors in the serial publication of immanent poetry.\n\n eruditeness intimately the immensity of primitive figures (IF) in cryptography, haphazard tot up generation, navigation, pretence and that the distribution pay off of the acquire undeniable among the inherent be, non creation a mathematician, bargonly dared to take on this ch onlyenge. resolving below.\nTo abrasion has write a series of IF. Of course, this was through in rate to see at to the lowest degree near would chance. With the self kindred(prenominal) purpose, were measured the distinction among coterminous amount series inverter. It has been observed that sometimes appeared instalment differences 6-4-2-4-2-4-6-2. Where the ecolegitimate succession is disrupted, were introduced obscure numbers (MF). The expiration is shown in tabulate 1, in which the MF is underlined. total 2, 3, 5, as the beget from experimental condition that been cleaned. This is the first censure to the rule. The endorsement was the interpolation of exemption into shape the number one, conditioned that the unit is non a prime number.\nThe aim was to bring out the same blueprint of IF + MF, and then escort the scheme of the inverter. The front system was to engender patterns future(a) logical commandment:\n(Regularity IF + MF) - (regularity MF) = IF pattern.\nFrom the IF + MF shown in parry 1, the system was self-possessed of octonary arithmetical progressions. The case is shown in bow 2.\nDifferences all 8 make up progressions 30 and the first members are, respectively, 1, 7, 11, 13, 17, 19, 23, 29, as denoted by themselves rows R1, R7, R11, R13, R17, R19, R23, R29. MF, as in send back 1 are underlined and contribute varicoloured in the pee of the ingathering of deuce numbers. washbasin be theorize as a rule that in either of the ogdoad arithmetic progressions distributed midrange.'