Last Updated：2025/11/30
(mathematics) A conjecture in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime numbers and leaving the results unsigned, and then repeating this process on consecutive terms in the resulting sequence, and so forth. The first term in every such sequence appears to be 1.
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Gilbreath's conjecture
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Source Word
Gilbreath's conjecture
Proper noun
(mathematics)
A
conjecture
in
number
theory
regarding
the
sequences
generated
by
applying
the
forward
difference
operator
to
consecutive
prime
numbers
and
leaving
the
results
unsigned,
and
then
repeating
this
process
on
consecutive
terms
in
the
resulting
sequence,
and
so
forth.
The
first
term
in
every
such
sequence
appears
to
be
1.
Japanese Meaning
数論における予想で、連続する素数に前方差分演算子を適用し、結果を符号なしで得た数列に対して同様の操作を繰り返すと、各反復の最初の項が1になるという現象を主張するもの。
Sense（1）
(mathematics)
A
conjecture
in
number
theory
regarding
the
sequences
generated
by
applying
the
forward
difference
operator
to
consecutive
prime
numbers
and
leaving
the
results
unsigned,
and
then
repeating
this
process
on
consecutive
terms
in
the
resulting
sequence,
and
so
forth.
The
first
term
in
every
such
sequence
appears
to
be
1.
