03152cam  22005178i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000210016208200280018308400710021110000310028224501180031326300090043126400990044030000340053933600260057333700280059933800270062749000420065450400410069650505660073750600500130353300950135353800360144858800470148465000300153165000380156160000330159965000870163265000380171965001270175765001010188465000830198565001130206865000620218165000800224365000950232377601260241885600430254485600470258722920062RPAM20230615131104.0a      b    000 0 cr/|||||||||||230615s2023    riu     ob    000 0 eng    a9781470473440 (online)  aDLCbengerdacDLCdRPAM00aQA241b.P46 202300a512.7/2223/eng20230415  a11-01a11-03a11A05a11A07a11A15a11A25a11A41a11A51a11D412msc1 aPengelley, David,eauthor.10aNumber theory through the eyes of Sophie Germain :h[electronic resource] ban inquiry course /cDavid Pengelley.  a2305 1aProvidence, Rhode Island :bMAA Press, an imprint of the American Mathematical Society,c2023.  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aClassroom Resource Materials, vv. 70  aIncludes bibliographical references.00tIntroductiontSophie Germain, number theory, and Fermat's last theoremtGermain's plan to prove Fermat's last theoremtFermat's last theorem for exponent fourtGermain's grand plan and a letter to GausstCongruence, Germain's basic lemma, systems of linear congruences, and higher power congruencestPrimitive rootstGermain carrying out her grand plantLarge size of solutions and Sophie Germain's theoremtThe demise of the grand plan: A letter to LegendretPrime patterns in quadratic formstHow Fermat discovered his theorem, and other divisibility delights1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2023  aMode of access : World Wide Web  aDescription based on print version record. 0aNumber theoryvTextbooks. 0aFermat's last theoremvTextbooks.10aGermain, Sophie,d1776-1831. 7aNumber theory -- Instructional exposition (textbooks, tutorial papers, etc.).2msc 7aNumber theory -- Historical.2msc 7aNumber theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors.2msc 7aNumber theory -- Elementary number theory -- Congruences; primitive roots; residue systems.2msc 7aNumber theory -- Elementary number theory -- Power residues, reciprocity.2msc 7aNumber theory -- Elementary number theory -- Arithmetic functions; related numbers; inversion formulas.2msc 7aNumber theory -- Elementary number theory -- Primes.2msc 7aNumber theory -- Elementary number theory -- Factorization; primality.2msc 7aNumber theory -- Diophantine equations -- Higher degree equations; Fermat's equation.2msc0 iPrint version: aPengelley, David,tNumber theory through the eyes of Sophie Germain :w(DLC)   2022060552z97814704722074 3Contentsuhttps://www.ams.org/clrm/0704 3Contentsuhttps://doi.org/10.1090/clrm/070