| N.G.W.H. Beeger, Liste des Nombres Premiers de Onzieme Million (Plus Precisement de 10006741 a 10999997) dapres les Tables Manuscrites de J. Ph. Kulik, L. Poletti et R.J. Porter, Amsterdam 1951. |
....in the interval [0; N ] High density is like beauty; it s in the eye of the beholder. Several authors considered the case where d = 2 and N = 99. In 1936 Lehmer [LeD] found ten polynomials of the form x 2 x A where the percentage of primes ranged from 39 to 74 in [0; 99] In 1938, Beeger [Be] showed that x 2 x 27941 produced 77 primes in [0; 99] Boston and Greenwood [BoG] showed that E(x 34) x 2 69x 1231 where E(x) is Euler s polynomial, represents 95 primes in the interval [0; 99] Then Karst [K2] showed that 2x 2 199 produced 87 primes in the range [0; 99] while x 2 ....
N.G.W.H. Beeger, Liste des Nombres Premiers de Onzieme Million (Plus Precisement de 10006741 a 10999997) dapres les Tables Manuscrites de J. Ph. Kulik, L. Poletti et R.J. Porter, Amsterdam 1951.
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