The least witness of a composite number

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Other literature type 01 Jan 1998Publisher:Springer Berlin Heidelberg

Authors: R. Balasubramanian; S. V. Nagaraj;

doi: 10.1007/bfb0030409

The least witness of a composite number

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Abstract

We consider the problem of finding the least witness of a composite number. If n is a composite number then a number w for which n is not a strong pseudo-prime to the base w is called a witness for n. Let w(n) be the least witness for a composite n. Bach [7] assuming the Generalized Riemann Hypothesis (GRH) showed that w(n) < 2log2 n. In this paper we are interested in obtaining upper bounds for w(n) without assuming the GRH.

Related Organizations

IBM Research - Tokyo
Japan
Institute of Mathematical Sciences
India
IBM (United States)
United States

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