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Erratum: “PRIMES is in P”. (English) Zbl 1432.11180

Erratum to the authors’ paper [ibid. (2) 160, No. 2, 781–793 (2004; Zbl 1071.11070)]. The proof of Lemma 4.3 in our paper is incorrect. Here we give a corrected proof, by changing the definition of \(r\).

MSC:

11Y11 Primality
11Y16 Number-theoretic algorithms; complexity
68Q25 Analysis of algorithms and problem complexity
68Q15 Complexity classes (hierarchies, relations among complexity classes, etc.)
11A51 Factorization; primality

Citations:

Zbl 1071.11070
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Full Text: DOI

References:

[1] Agrawal, Manindra; Kayal, Neeraj; Saxena, Nitin, P{RIMES} is in {P}, Ann. of Math. (2). Annals of Mathematics. Second Series, 160, 781-793, (2004) · Zbl 1071.11070 · doi:10.4007/annals.2004.160.781
[2] Carlip, Walter; Somer, Lawrence, Private communication, {A}pril 2005
[3] Rempe-Gillen, Lasse, Private communication with {L. R}empe-{G}illen and students of {D}eutsche {S}chuelerakademie, {J}uly 2005
[4] Ruiz, Sebasti\'an M., Private communication, {J}uly 2018
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