# WHAT IS Lehmer's number?

- Published in 2009
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Lehmer's number \(\lambda \approx 1.17628\) is the largest real root of the polynomial \(f_\lambda(x) = x^10 + x^9 - x^7 - x^6 -x^5 -x^4 - x^3 + x + 1\). This number appears in various contexts in number theory and topology as the (sometimes conjectural) answer to natural questions involving ``minimality'' and ``small complexity''.

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@article{item35, title = {WHAT IS Lehmer's number?}, author = {Eriko Hironaka}, url = {http://www.math.fsu.edu/{\~{}}aluffi/archive/paper355.pdf}, urldate = {2013-12-03}, year = 2009, abstract = {Lehmer's number \(\lambda \approx 1.17628\) is the largest real root of the polynomial \(f{\_}\lambda(x) = x^10 + x^9 - x^7 - x^6 -x^5 -x^4 - x^3 + x + 1\). This number appears in various contexts in number theory and topology as the (sometimes conjectural) answer to natural questions involving ``minimality'' and ``small complexity''.}, comment = {}, collections = {Attention-grabbing titles,Integerology} }