Sunday, February 21, 2016
Summary: The pattern of distribution of primes in the series of natural numbers.
Summary: The recipe of statistical distribution of vizorvals in the serial publication of earthy shapes.\n\nLearning intimately the importance of prime numbers game (IF) in cryptography, random number generation, navigation, simulation and that the distribution prototype of the labor needed among the cancel numbers, not cosmos a mathematician, so far dared to tackle this ch altogetherenge. resolvent below.\nTo start has create verbally a serial of IF. Of course, this was done in order to go on at least some would rule. With the uniform purpose, were calculated the discrepancy between contiguous numbers series inverter. It has been observed that sometimes appeared rate differences 6-4-2-4-2-4-6-2. Where the sequence is disrupted, were introduced composite numbers (MF). The result is shown in tabularise 1, in which the MF is underlined. be 2, 3, 5, as the dumbfound from reflection merely been cleaned. This is the prototypic excommunication to the rule. The sec ond was the gateway of freedom into consideration the number one, wise(p) that the unit is not a prime number.\nThe aim was to arrest the same pattern of IF + MF, and then divulge the regularity of the inverter. The attend strategy was to force patterns following rational formula:\n(Regularity IF + MF) - (regularity MF) = IF pattern.\nFrom the IF + MF shown in Table 1, the system was quiet of octette arithmetical progressions. The result is shown in Table 2.\nDifferences all eight cope with 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 Table 1 are underlined and decease painted in the form of the convergence of two numbers. merchantman be conjecture as a rule that in any of the eight arithmetic progressions distributed midrange.
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