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検索内容:
drops the H-bomb
Schinzel's hypothesis H
name
(number
theory)
A
famous
open
problem
in
mathematics,
the
hypothesis
stating
that,
for
every
finite
collection
f_1,f_2,…,f_k
of
non-constant
irreducible
polynomials
over
the
integers
with
positive
leading
coefficients,
one
of
the
following
conditions
holds:
(i)
there
are
infinitely
many
positive
integers
n
such
that
all
of
f_1(n),f_2(n),…,f_k(n)
are
simultaneously
prime
numbers,
or
(ii)
there
is
an
integer
m>1
(called
a
fixed
divisor)
which
always
divides
the
product
f_1(n)f_2(n)⋯f_k(n).
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