| R. Forman, Sequences with many primes, Amer. Math. Monthly 99 (1992), 548-557. |
....of degree at least two. Iwaniec [Iwan] proved that if g(x) ax 2 bx c 2 ZZ[x] where a 0 and c is odd, then there exist in nitely many integers x such that g(x) is either prime or a product of two primes. For more discussion on this type of problem, consult the papers [Bo] Ga] [Fo], Sc] Si] and Chapter 6 of [Ri2] A second problem concerns polynomials (especially those of degree d = 2) that produce consecutive prime values for all integers x in some interval. Leonard Dickson traced the early history of research on this problem in Chapter XVIII of [Di1, p.420] In 1772, ....
R. Forman, Sequences with many primes, Amer. Math. Monthly 99 (1992), 548-557.
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