In the published article, there was an error in the legend for Table 4 as published. The error is that Table 4 contains two titles that state “Non-intersecting characteristics”. The first one of the two should say “Intersecting characteristics”. The corrected legend appears below.
“Intersecting characteristics”
In the published article, there was an error in Table 2 as published. The encoding (number portion) for hypnic headache appears to be missing one value in Table 2. One more number, 17956508311, should be added to the existing list for hypnic headache. The corrected Table 2 and its caption appears below.
Table 2
| Migraine without aura: |
| 7580756461,13242732241,16451185183,102951563551,127894697713,223417708453,3191498470081,3964735629103,4166259653173,6925948962043,7277988854713,9041302068919,53843667737173,56580493999543,70288832213209,122786715194029,1669153699852363,1753995313985833,2178953798609479,3806388171014899,29591598361760989,917339549214590659. |
| New Daily Persistent Headache: |
| 1145520433. |
| Primary exercise headache: |
| 2106413. |
| Primary thunderclap headache: |
| 17411171. |
| Cold-stimulus headache |
| 4026427. |
| External compression headache: |
| 1069111207. |
| External traction headache: |
| 1183350401. |
| Cluster headache: |
| 1577982193416431,1932584933510011,2251727399594233,3492836989921763,4237502744118281,4911247950296083,7428927404960501,7960831515100871,8173593159157019. |
| Paroxysmal Hemicrania: |
| 699200435231955421,856324128542507201,997735452522003803,1547668379108935033,1877628135061093771,2176163152351142153,3291741374856059791,3527426914821887461,3621701130808218529. |
| Short lasting unilateral neuralgiform headaches: |
| 444401003390335,544266397410635,634145252028905,983674131099955,1193391458542585,1383135707181155,2092180004725285,2301897332167915. |
| Hemicrania continua: |
| 54659995058027,66943140014887,77997970476061,120988977825071,146783582234477,170121557652511,257331886846217,275756604281507,283126491255623. |
| Migraine with aura: |
| 75121389451,179941932871,188719588133,209121705769,345049093919,581872457273,594604896163,635348700611,716836309507,826512945899,866830650577,889227610013,910191718697,932604566599,954591314731,960542072261,1033426681907,1057790375783,1393787513933,1424286146623,1461777148759,1493763519629,1521881771231,1596119906413,1619807110787,1655251467697,1717073020447,1768673409809,1800832679981,1995517294033,2233913264179,2286579195751,2475417400847,2533776946643,2596169469181,2657375822089,4084418344297,4180711114693,4283658263531,4384648242239,4746756454183,4858664268427,6887746063999,7038462608069,7050129075331,7204398858161,7223733676877,7381802247487,7394037810713,7520755549093,7555832948803,7698062163217,7887621673439,8004677858161,8073577390691,8179834922891,8193393249709,8372679754079,8485341431141,8685388773329,8740337530027,8899260525343,8946396568063,9109066274467,9861342744299,10093830196031,10260855840551,10502762068619,11299697190653,11370137553043,11638195805767,11924778409289,12205912674341,12521286076129,13132080518867,17303362063217,17681991430027,17711299872173,18098855668063,18893605403819,19173995799781,19339034214911,19593558071111,19626034993489,20055488713259,20109312668063,20549341391653,20583402554147,20936157339367,21033805235857,21316833351403,21429740616523,21819391308607,21957433307141,22475093817329,23621355875879,24178244423051,24773617138117,25357670980273,31455913801007,51901998960457,57513025875101,60318539332423,87524773154719,89439976068389,95568625392133,96986910793067,99109162670377,101717979612241,103943755971371,105900368677769,107825924039621,111066240320587,119482780692553,125311209019019,144483943052083,243650044187461,248981555001191,266042389605127,300164058812999. |
| Chronic migraine: |
| 47943440512446421,83751819318423001,104043233975143063,651102853410965911,808852238322886393,1412974242049523533,20184188455739943241,20663622860864407451,25074419388009478183,26348930066400847453,36097034126240313431,43802201503535229523,44842633843286660153,46028628871181563393,57180458193890635759,74589881356425382327,178668785574693357667,187384336090532058041,207642102154373361613,280625329820126307641,340526792333935171453,342607760128665739163,348615314717164035383,357835469611443767023,444531949184762684449,577755521692989825821,590397874465265314351,608991898323344642723,630853403336546877647,711764461079110004239,776547512891224440469,820665099843083049623,860697543737867588629,882936037451639990801,903751818295293585869,926006088059037063523,947837272846283516887,953745926844664084697,1026114854335689719039,1050306167208043897091,1383926017078557024641,1414208862091216915771,11451434603277511025843,1483194660242007984833,1511113966131728567387,1584826842528398253601,1608346452280485190799,1643540028916819658869,1704924174212751870619,1756159474153089956693,1788091207101178791137,1981398364625630552341,2218107606280949245183,2270400909375981447427,2457903023176187001419,2515849656335547009311,2577800731623805879537,2638574029815329790253,4055519765243973517069,4151131233186856979161,4253349997694899054487,4353625439683776831803,4713171619067320573891,4824287649379320273079,6839013035854228403323,6988663211693489418713,7000247134931341843087,7153425409218679738997,7172623427847117593729,7329573612263903536699,7341722604927992664701,7467543774379124667961,7502372990156176311631,7643595886938161005909,7831814202397618554203,7948042176803562738997,8016454222886363981807,8121959948724866081207,8135422346001289168993,8313440340443330507483,8425304899750395166457,8623936842377123539733,8678496818873036776279,8699385224423915536871,8836295382665048589211,8883097922657862790651,9044616688346739322159,9791570559169378166423,10022413087086927356987,10188256971222665177027,10428451634591372411063,10556330562351990315043,10807074756232085096873,11092899557954756777713,11219748183226937444081,11289690157300791142111,11356388858618765252243,11555851811303953212259,11840406750339854124653,12119551899660243612857,12432693932764984735333,13039166807534008380959,13780490424727643217919,17180935187633793305909,17556885629376327076279,17585986704827517313121,17970800418281073490651,18759927042952435141463,18878748848023683924413,19038333586296906095737,19202204301332453258747,19454927 319038632706147,19487174456700762428053,19838339043479253822383,19913589652689838192343,19967032785628462490651,20403948163869785521081,20437768332637384985519,20788027263812157859459,20884984269894220543189,21166009870104651271831,21278118279854880638071,21665012067435212794939,21802077374242019218457,22316075269116094327733,23454227153359208166083,24007175534184965529527,24072972899627957654539,24598335794986486613209,24644777481566864012129,25178257267559841896821,31233353050604717749739,32148238864619339782937,51534775553466102497389,57106102640327302767377,59891766183757902902371,77006246582692837154477,80762648855019317015671,86905507114147634100763,88807159348592877735353,89493746028534918855203,94892446498817657366041,96300697072433864814359,98407933332224540193229,100998292051576980171157,103208320324040371422167,105151089363554701405613,107063020799267216627417,110280410795923223425399,118637401426215023830381,124424591739688927431863,143461672486675906952191,146767047495926058896243,147663944615454933579253,154227087402532263586913,187147950606785090153029,191593270098632716997519,241926141425870440875097,247219930078515308290307,249012629849678614928851,254461483894529350485281,264160053766978884018979,271897816838051704265857,298040301143906035476323,306770482725096411827009,334691978056117733842139,353706658032368794387513,370960641351020930699099,380545432141656836035231,389517033685271535509539,399108623953444974378413,408517864596748195778297,411064494470050220504407,442255502218682268905809,452681958066666919646221,596472113360858077620271,609524019561314490697301,625568314012607252138333,639256898564305441463023,651290119402775012543797,683060369129739647302031,693197320932889117234369,708365752463149272972539,734822319085696056236789,756904733359981771334683,770667310260608058980047,853982695153646768058971,956004378307089124673873,978542791941048003841037,1059356202988936597611589,1084331201880620761013041,1111032115329860334080447,1137225406850407139599043,1747929018820152585856739,1789137561503535358018391,1833193849006501492483897,1876412564503707814507093,2031376967818015167347021,2079267976882487037697049,2947614618453172441832213,3012113844239893939465303,3017106515155408334370497,3083126351373250967507707,3091400697402107682897199,3159046226885742424317269,3164282442723964838486131,3218511366757402731891191,3233522758757311990312961,3294389827270347393546779,3375511921233373596861493,3425606178202335540507707,3455091770064022876158817,3500564737900417281000217,3506367031126555631835983,3583092786731075448725173,3631306411792420316742967,3716916779064540245624923,3740432128934278850576249,3808443309928635941949941,3828615204665538862770581,3898229792677444647850529,4220166911002001989728313,4319660040534465690861397,4391138754596968691298637,4494662654508881509168153,4549778472373707825783533,4781039709478500171194303,4835711466970810038398911,4865856457796640982249841,4980572130672003834483629,5103215309396477127725443,5223526868753564997141367,5358491085021708420928523,5619880894047157612193329,5801586468810337794743899,5939391373057614226923089,7404983065870164914846779,7567017706261196969876249,7579560269780659961955151,7745414980279142674470581,8085528555512499545970553,8205521775693966527262647,8276150053874287354519957,8385073674505650696349357,8398972190838028606490843,8582757140309320260899833,8605791130605867333470581,8794101658627877559585911,8808678151366712928758689,8959639750703040037426829,9001428220324409054114459,9122550254015104698159161,9170868978617453555008601,9337620201064576714618709,9396695348298310283154967,9618228440989036655252923,10108771903097818719581773,10347092655233720143226137,10375451319739649749106309,10601882727639175730293079,10851828882318291857510851828882318291857529851,13461575164810633350137509,22211488263543890176374659,24612730237981067492739487,25813351225199656150921901,37456273566197630297428853,38275885679243530303937143,40898644440990410324763671,41505600438218995734988729,42413819266188776823281699,43530263874229678453768667,44482786059661400082953977,45320119515692076305819203,46144161964484170366416727,47530857053042909296346969,51132720014698675270894211,53626999039805927723132953,61831980841757315896394321,80660766711524373855955499,104270166954550160017166807,106551789863840097873122317,113852983173567899012179949,128455369793023501290295213,2500483768057255589534620469. |
| Primary headache associated with sexual activity: |
| 613582,3829598,167814677,1047395053. |
| Primary stabbing: |
| 14937586453,15465416363,16204378237,16415510201,16521076183,16732208147,18632395823,19371357697. |
| Nummular: |
| 331231589. |
| Hypnic headache: |
| 14155130507,14655311797,15355565603,15555638119,15655674377,15855746893,17656399537,18356653343, 17956508311. |
| Primary cough: |
| 1412526109,1440706181. |
| Infrequent tension type headache: |
| 1378253359942681,1386197183342927,2206388426002661,2219105362175587,2241879928833803,2254801426982701,9699783080351321,9755689611073807,9855811762608983,9912617594093761,15777758744434123,15868696835180141,514088503258620013,517051549386911771,522358023418276099,525368732486969333,836221213455008519,841040932264547473,3676217787453150659,3697406362596972853,194839542735016984927,195962537217639561209. |
| Frequent tension type headache: |
| 21262771073163,21385323067821,34038685022703,34234873409001,34586224191969,34785568423623,149641766231883,150504254798061,152048872391109,152925234768003,243408709879329,244811641924743,7931013610289799,7976725504297233,8058590236728777,8105037442704159,12900661623604437,12975017022011379,56714229401883657,57041112568465119,3005854158299833821,3023178966128651307. |
| Chronic tension type headache: |
| 5029577936481697,5058566858305799,8051641932650957,8098049090764219,8181158961058211,8228312615012437,9281386088971379,9334881109657093,14858184597366199,14943822548936033,15097190247725977,15184205753476559,35396840949201377,35600857323548359,35966227130689871,36173525269771657,57576835707070051,57908690667917717,65319943607289139,65696427432115013,66370666560757597,66753206425661099,106250037026448857,106862429170693519,1876032570307672981,1886845438148063027,1906210037926563163,1917196839297897821,3051572292474712703,3069160605399639001,3461957011186324367,3481910653902095689,3517645327720152641,3537919940560038247,5631251962401789421,5663708746046756507,13415402719747321883,13492724925624828061,24756258627162583681,24898945996771589927,711016344146608059799,715114421058115887233,1312081707239616935093,1319644137828894266131. |
Prime number encodings for selected primary headache disorders.
“Prime number encodings for selected primary headache disorders.”
The authors apologize for this error and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.
Statements
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
Summary
Keywords
headaches classification, International Classification of Headache Disorders, 3rd edition, headache diagnosis, number theory in medicine, automated diagnosis
Citation
Zhang P (2024) Corrigendum: Which headache disorders can be diagnosed concurrently? An analysis of ICHD3 criteria using prime encoding system. Front. Neurol. 15:1404283. doi: 10.3389/fneur.2024.1404283
Received
20 March 2024
Accepted
25 March 2024
Published
08 April 2024
Volume
15 - 2024
Edited and reviewed by
Sait Ashina, Beth Israel Deaconess Medical Center and Harvard Medical School, United States
Updates
Copyright
© 2024 Zhang.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Pengfei Zhang phil.p.zhang@gmail.com
Disclaimer
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.