English Dictionary

Gilbreath's conjecture

固有名詞

(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.

日本語の意味

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。

Gilbreath's conjecture suggests that if you repeatedly apply the forward difference operator to the sequence of prime numbers and take absolute values, the first term of every resulting sequence is 1.

ギルブレスの予想は、素数の列に前方差分作用素を繰り返し適用して結果を絶対値にした場合、得られる各列の最初の項が1になると示唆している。

意味（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.