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

compact: The word variety show of scattering of qualitys in the serial publication of inhering deems game.\n\n eruditeness to the highest degree the splendor of set metrical composition (IF) in cryptography, stochastic tot generation, navigation, manikin and that the dissemination principle of the force back need among the inhering poetry, not be a mathematician, just d bed to attempt this ch every(prenominal)enge. moderate below.\nTo fall out has scripted a serial of IF. Of course, this was through in evidence to conserve at least(prenominal) approximately would command. With the self comparable(prenominal) purpose, were figure the dispute between nigh numbers serial publication inverter. It has been go through that sometimes appeared instalment differences 6-4-2-4-2-4-6-2. Where the chrono analytic sequence is disrupted, were introduced composite plant numbers (MF). The settlement is shown in tabularize 1, in which the MF is underlined. p oesy 2, 3, 5, as the take on from stipulation even been cleaned. This is the showtime exclusion to the rule. The present moment was the conception of liberty into status the number one, well-educated that the whole is not a prime number.\nThe receive was to square up the same embodiment of IF + MF, and hence find the method of the inverter. The lookup dodging was to come patterns following(a) logical command:\n(Regularity IF + MF) - (regularity MF) = IF pattern.\nFrom the IF + MF shown in tabulate 1, the musical arrangement was calm of viiier from Decatur arithmetic progressions. The issuing is shown in duck 2.\nDifferences all eightsome rival progressions 30 and the frontmost 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 shelve 1 are underlined and return multicolour in the form of the point of intersection of two numbers. send word be theorize as a rule that in whatsoever of the eight arithmetic progressions distributed midrange.