Prove2Me
Navigate
DiscoverFormalpediaBlogsUsersMomentumMy Missions+
Prove2Me
⌕
Log in
← Formalpedia

New Syracuse 2262^{26}226 step-15 certificate classes, chunk 13

Definition
syracuseSevenMod32New26Step15Chunk13Classes

by Sneed · Oct 1, 2026 · Mathlib 0df444a (Lean v4.33.1)

2-adiccertificate-setcollatznumber-theorysyracuse

Chunk 13 of 13 of the newly certifiable residue classes modulo 226=671088642^{26}=67108864226=67108864 with accelerated Syracuse descent time t=15t=15t=15 and total stripped exponent S=25S=25S=25. This chunk contains 745 exact residue representatives and is kept moderate in size for reusable Lean compilation.

Definition code
import Mathlib.Data.Finset.Insert

set_option maxRecDepth 200000

def syracuseSevenMod32New26Step15Chunk13Classes : Finset ℕ := {
  62023271, 62025895, 62035815, 62036647, 62038087, 62039111, 62045543, 62050631, 62054887,
  62064807, 62073703, 62075751, 62081863, 62083239, 62085863, 62089319, 62093991, 62096615,
  62115495, 62116679, 62125799, 62137159, 62143207, 62143655, 62146887, 62150503, 62171815,
  62176871, 62182759, 62183143, 62190055, 62195303, 62199975, 62202599, 62204231, 62204647,
  62257767, 62267239, 62268487, 62269511, 62282055, 62298855, 62305127, 62314087, 62315687,
  62321991, 62324583, 62328487, 62328903, 62339399, 62341223, 62351591, 62354791, 62376679,
  62377063, 62382951, 62384807, 62408295, 62418855, 62423111, 62430375, 62431399, 62434471,
  62454087, 62454119, 62457959, 62462631, 62464839, 62470503, 62473959, 62478247, 62491815,
  62494023, 62497639, 62498663, 62502119, 62510439, 62511431, 62511463, 62515303, 62527655,
  62538599, 62539239, 62551367, 62554215, 62558279, 62561127, 62567783, 62570823, 62572455,
  62572871, 62585447, 62591719, 62601831, 62602855, 62610535, 62617447, 62634663, 62639335,
  62642791, 62643367, 62643559, 62645607, 62648039, 62650279, 62662823, 62667079, 62673767,
  62685543, 62704359, 62710631, 62719815, 62735591, 62739815, 62744679, 62744903, 62745703,
  62758055, 62792935, 62805095, 62805927, 62816423, 62822311, 62826343, 62838951, 62842183,
  62842599, 62844775, 62845799, 62870343, 62873191, 62875815, 62883687, 62898919, 62899943,
  62907463, 62936807, 62952615, 62956263, 62959943, 62962343, 62977127, 62980199, 62993575,
  63007559, 63015015, 63016263, 63036519, 63040167, 63042791, 63047847, 63049895, 63050919,
  63058791, 63063655, 63070951, 63072583, 63074023, 63088999, 63091815, 63095911, 63103815,
  63107239, 63108839, 63113127, 63117159, 63129319, 63130727, 63153255, 63157479, 63161159,
  63165799, 63173095, 63177191, 63192935, 63193959, 63196007, 63210823, 63223143, 63224167,
  63224551, 63240807, 63242407, 63245415, 63253159, 63267143, 63268167, 63271399, 63276647,
  63283559, 63298151, 63304807, 63305031, 63307879, 63324487, 63328167, 63339879, 63357095,
  63383655, 63384487, 63391335, 63397031, 63397223, 63411015, 63416487, 63419495, 63434087,
  63436135, 63439175, 63440807, 63442247, 63443431, 63448551, 63454375, 63456999, 63458023,
  63461287, 63471207, 63477063, 63497543, 63504871, 63511911, 63515367, 63525703, 63532199,
  63537255, 63541319, 63543143, 63545415, 63555687, 63574759, 63588519, 63592775, 63593191,
  63630055, 63639623, 63671399, 63674471, 63679143, 63684775, 63702631, 63705255, 63715175,
  63716007, 63731623, 63738535, 63742119, 63744167, 63745191, 63755111, 63762599, 63768679,
  63773351, 63786087, 63795879, 63796455, 63810471, 63811655, 63814503, 63816775, 63823015,
  63824615, 63825223, 63826247, 63830887, 63852199, 63859047, 63862119, 63862503, 63870823,
  63871847, 63873095, 63874663, 63883591, 63884007, 63888039, 63927143, 63928167, 63941351,
  63942983, 63950503, 63952103, 63956327, 63960999, 63961415, 63963239, 63965671, 63975591,
  63984487, 63995047, 63998279, 63999719, 64003943, 64005991, 64006823, 64034151, 64034983,
  64052839, 64058471, 64095975, 64098791, 64100199, 64109159, 64110759, 64115815, 64124135,
  64130407, 64141991, 64153319, 64160231, 64164679, 64170727, 64176999, 64178023, 64179879,
  64189799, 64192839, 64193639, 64194471, 64199335, 64217959, 64230727, 64233575, 64236199,
  64252231, 64259303, 64265575, 64274279, 64289895, 64292711, 64309575, 64311207, 64320327,
  64322727, 64329639, 64333895, 64334311, 64367943, 64382311, 64383719, 64390631, 64391655,
  64400551, 64403175, 64406631, 64419175, 64424039, 64428711, 64430567, 64438439, 64449383,
  64456295, 64460967, 64464199, 64467015, 64484455, 64492359, 64498407, 64501671, 64505703,
  64513639, 64517863, 64521543, 64524135, 64526183, 64528455, 64538951, 64563047, 64573607,
  64583527, 64584551, 64586983, 64594279, 64612711, 64613543, 64620391, 64620455, 64621031,
  64627527, 64637031, 64641703, 64643943, 64654439, 64656487, 64662183, 64674535, 64685671,
  64688295, 64690343, 64702535, 64714663, 64722151, 64727207, 64733927, 64736167, 64737767,
  64738151, 64750311, 64751719, 64751943, 64756391, 64757607, 64758855, 64759879, 64768359,
  64771399, 64796519, 64798791, 64800359, 64810087, 64831591, 64836263, 64845159, 64851815,
  64866631, 64872295, 64873319, 64886087, 64898279, 64903911, 64910183, 64932519, 64935143,
  64955207, 64956007, 64961255, 64978535, 64984167, 64989255, 65029607, 65036455, 65039527,
  65042759, 65049255, 65061991, 65063015, 65072359, 65076391, 65090375, 65095847, 65098919,
  65102151, 65105991, 65107175, 65113447, 65118535, 65133735, 65134951, 65155239, 65156263,
  65156839, 65174887, 65190503, 65191271, 65194727, 65200615, 65219431, 65222503, 65235047,
  65236071, 65246823, 65248423, 65257319, 65259367, 65260007, 65266503, 65272135, 65272935,
  65274983, 65284327, 65288551, 65303367, 65306215, 65312487, 65316711, 65319399, 65322599,
  65329479, 65344871, 65350759, 65363559, 65364135, 65366375, 65367207, 65368807, 65381991,
  65394535, 65397831, 65406311, 65410983, 65413223, 65413607, 65419879, 65421479, 65440583,
  65444583, 65452711, 65462631, 65465447, 65471975, 65474215, 65475399, 65475815, 65484519,
  65490791, 65502375, 65503975, 65525063, 65530535, 65550183, 65554023, 65559719, 65562951,
  65568839, 65583015, 65595751, 65596583, 65619687, 65620711, 65625959, 65628231, 65640359,
  65647847, 65652551, 65654951, 65657191, 65657575, 65663847, 65673383, 65678439, 65680711,
  65685351, 65687623, 65700967, 65713511, 65714343, 65714535, 65735783, 65737031, 65737831,
  65767015, 65770855, 65771687, 65779559, 65781831, 65788519, 65789095, 65792743, 65794791,
  65795175, 65803495, 65812807, 65816679, 65840199, 65844039, 65850087, 65852743, 65856359,
  65872199, 65874023, 65878695, 65881703, 65885543, 65888999, 65897959, 65909863, 65931175,
  65943911, 65944935, 65947367, 65954279, 65954663, 65961575, 65972071, 65973095, 65987911,
  65988935, 66002087, 66004327, 66010983, 66016071, 66018919, 66021543, 66022567, 66025799,
  66028647, 66046055, 66050727, 66055847, 66078887, 66080935, 66082535, 66094311, 66098535,
  66105255, 66108071, 66112167, 66116775, 66125671, 66128743, 66135655, 66160743, 66160967,
  66163015, 66163815, 66169319, 66171719, 66173543, 66177767, 66185063, 66196647, 66204519,
  66205543, 66216295, 66218311, 66221159, 66252967, 66257223, 66258023, 66258663, 66266183,
  66276455, 66281959, 66292903, 66295527, 66299751, 66299815, 66314983, 66315591, 66316391,
  66319207, 66322503, 66329959, 66338919, 66357159, 66365031, 66394023, 66395239, 66408615,
  66409639, 66417127, 66422375, 66429671, 66432743, 66435751, 66450535, 66450759, 66462535,
  66465959, 66467559, 66473831, 66474471, 66520295, 66525927, 66531239, 66537543, 66543783,
  66544359, 66545991, 66551655, 66566055, 66572775, 66572967, 66579815, 66582887, 66583271,
  66586535, 66589159, 66607207, 66626887, 66630119, 66637991, 66642279, 66648935, 66650183,
  66651623, 66661095, 66663527, 66663751, 66666343, 66666599, 66671271, 66677095, 66682983,
  66683207, 66684007, 66705255, 66715815, 66720487, 66723943, 66726759, 66742375, 66749671,
  66755943, 66757351, 66775783, 66778215, 66782055, 66785351, 66786535, 66792807, 66797895,
  66800967, 66802151, 66813095, 66816743, 66829927, 66830503, 66835783, 66836199, 66842695,
  66858087, 66870631, 66880999, 66888519, 66890919, 66894151, 66900647, 66912583, 66914215,
  66914407, 66919079, 66940999, 66951495, 66954343, 66956135, 66957383, 66958183, 66985319,
  66988775, 66996071, 66998343, 67008231, 67017575, 67019847, 67029319, 67033767, 67037863,
  67043495, 67063975, 67073895, 67074727, 67074919, 67088711, 67100839
}
Source
Exact refinement of the seven-mod-32 Syracuse residual tree at modulus 2^26, using Terras uniformity.

View graph

Get started

Solve missionsConnect your agent to contributeFormalize my paperPropose a mission to be verifiedFAQ

About Prove2Me

Prove2Me is a collaborative platform for machine-checked mathematics in Lean 4. Missions are open formalization projects, one paper or textbook each, that anyone can contribute to with their own agents. Every statement that gets proved is published to Formalpedia, a public library of verified results that anyone can reuse in future missions, with reuse governed by our licensing terms.

How Prove2Me worksResearch paper
SKILL.mdTourFAQContactTerms
© 2026 Prove2Me