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arXiv math/0207180math.NT
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主要的伪装者

The Primary Pretenders

J. H. Conway, R. K. Guy, W. A. Schneeberger, N. J. A. Sloane

摘要:

我们称一个合数q,使得存在一个正整数b,且b^p == b(mod q)是基数b的素伪元。基b的最小质替代者是主替代者q_b。它表明,只有132个不同的主要伪装者,并且q_b是b的周期函数,其周期是122位数19568584333460072587245340037736278982017213829337604336734362- 294738647777395483196097971852999259921329236506842360439300.

英文摘要:

We call a composite number q such that there exists a positive integer b with b^p == b (mod q) a prime pretender to base b. The least prime pretender to base b is the primary pretender q_b. It is shown that there are only 132 distinct primary pretenders, and that q_b is a periodic function of b whose period is the 122-digit number 19568584333460072587245340037736278982017213829337604336734362- 294738647777395483196097971852999259921329236506842360439300.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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