Numberphile Videos on Classical Unsolved Problems, Not New Discoveries — E8 Intelligence Research

{"FINDING:":[0],"The":[1],"search":[2],"results":[3],"are":[4],"a":[5,75,84],"mixed":[6],"bag":[7],"—":[8,54,166],"mostly":[9],"Numberphile":[10],"videos":[11],"on":[12,30],"classical":[13],"unsolved":[14],"problems":[15],"(Hadwiger-Nelson,":[16],"odd":[17,97],"perfect":[18,92],"numbers,":[19],"Catalan's":[20,118],"conjecture,":[21],"the":[22,41,51,79,167,179],"7825":[23],"problem)":[24],"plus":[25],"one":[26],"irrelevant":[27],"arXiv":[28],"paper":[29],"omnidirectional":[31],"video":[32,81],"quality.":[33],"No":[34],"single":[35],"new":[36],"mathematical":[37],"discovery":[38],"is":[39,43,96,160],"presented;":[40],"content":[42],"expository.":[44],"|":[45,157],"MATH:":[46],"Hadwiger-Nelson:":[47],"chromatic":[48],"number":[49],"of":[50,178],"plane":[52],"χ(ℝ²)":[53],"known":[55],"bounds":[56],"5":[57,68],"≤":[58,60],"χ":[59],"7":[61],"(lower":[62],"bound":[63],"raised":[64],"from":[65],"4":[66],"to":[67,83,163],"by":[69],"de":[70],"Grey":[71],"in":[72],"2018,":[73],"using":[74],"1581-vertex":[76],"unit-distance":[77],"graph;":[78],"\\"7825\\"":[80],"refers":[82],"smaller":[85],"7825-vertex":[86],"graph":[87],"also":[88],"proving":[89],"χ≥5).":[90],"Odd":[91],"numbers:":[93],"if":[94],"N":[95,99,112],"perfect,":[98],"=":[100,125,133,141,150],"p^k":[101],"m²":[102],"with":[103],"p":[104],"≡":[105,107],"k":[106],"1":[108,126],"(mod":[109],"4),":[110],"and":[111],">":[113],"10^1500":[114],"(current":[115],"lower":[116],"bound).":[117],"conjecture":[119],"(Mihăilescu's":[120],"theorem):":[121],"x^a":[122],"−":[123,131,152],"y^b":[124],"has":[127],"only":[128],"solution":[129],"3²":[130],"2³":[132],"1.":[134,156],"Josephus":[135],"problem:":[136],"J(n,k)":[137,140],"recurrence":[138],"J(1,k)=0,":[139],"(J(n−1,k)+k)":[142],"mod":[143],"n;":[144],"closed":[145],"form":[146],"for":[147],"k=2:":[148],"J(n)":[149],"2(n":[151],"2^⌊log₂":[153],"n⌋)":[154],"+":[155],"CONNECTION:":[158],"Hadwiger-Nelson":[159],"deeply":[161],"tied":[162],"lattice":[164],"structures":[165],"hexagonal":[168],"lattic":[169],"Author:":[170],"Andrew":[171],"Stewart":[172],"Caldin,":[173],"Independent":[174],"Researcher,":[175],"UK.":[176],"Part":[177],"E8":[180],"Intelligence":[181],"Research":[182],"series.":[183],"Platform:":[184],"e8intelligence.com":[185]}