Factores primos de Gúgolplex + 10 con 32 dígitos
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Teoría de números
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Factores primos de Gúgolplex + 10 con 32 digitos
Esta es una lista de factores primos de
32 dígitos de gúgolplex + 10, es decir, 1010^100 + 10.
Estos números tienen la forma 1 + 2k ∏i piei,
donde pi es un factor primo de 10100 − 1
y ei es cero o uno.
La lista de factores primos de 10100 − 1 es: 3, 3, 11,
41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801,
18 2521213001, 1410 3673319201, 7887 5943472201 y 168058 8011350901.
En esta lista se pueden ver los factores primos, sus descubridores y los valores de k.
- 10 0032202051 5542261825 3205626009 (David Broadhurst, k=4)
- 10 0657205655 0966034915 1382194557 (Patrick Demichel, k=8126)
- 10 1612544671 2468176429 2232596569 (Phil Carmody, k=196)
- 10 2253497663 5810222817 1821790969 (Patrick Demichel, k=754036)
- 10 2361492984 4833702872 2472209899 (Phil Carmody, k=651)
- 10 2596692221 1353135303 2716839133 (David Broadhurst, k=2)
- 10 3099711084 4975524944 3828533731 (David Broadhurst, k=5)
- 10 3597293000 9369783669 5985612847 (David Broadhurst, k=1)
- 10 3742923638 9747355541 3176387477 (Norm Dresner, k=13346)
- 10 3904018176 5245262893 2527960287 (David Broadhurst, k=23)
- 10 4086149957 2029520284 7943370339 (David Broadhurst, k=1)
- 10 4243814025 1999561569 3498321813 (Norm Dresner, k=10374)
- 10 4681990843 5161125858 2162303343 (David Broadhurst, k=1)
- 10 6058408272 3354116686 5109285369 (David Broadhurst, k=4)
- 10 6582374685 0069570966 4021085121 (Patrick Demichel, k=1183840)
- 10 6648226865 4190367744 5828072047 (Phil Carmody, k=581)
- 10 6761458389 2550761403 1328255539 (David Broadhurst, k=29)
- 10 6770957759 6299167329 9047239093 (David Broadhurst, k=54)
- 10 6881477959 5930035552 1490399557 (David Broadhurst, k=2)
- 10 7752944713 2170419081 0106827407 (David Broadhurst, k=27)
- 10 7786346501 2462376387 7000338757 (David Broadhurst, k=2)
- 10 8288196367 6274944556 7986748201 (Phil Carmody, k=900)
- 10 8419819248 3576081059 5587248241 (Patrick Demichel, k=107880)
- 10 8526620189 6839284396 7576639041 (Patrick Demichel, k=346080)
- 10 8553043730 5620066905 1368068089 (Patrick Demichel, k=483236)
- 10 8627375838 6267763875 1633198287 (Patrick Demichel, k=6147)
- 10 8838291213 2770560422 0136982929 (Patrick Demichel, k=157528)
- 10 9754090120 8021296689 8465226383 (David Broadhurst, k=29)
- 10 9899934895 7184667905 1097215371 (David Broadhurst, k=65)
- 11 0353581145 2146489529 7325187973 (David Broadhurst, k=2)
- 11 0372808811 4387111139 7212572491 (Phil Carmody, k=205)
- 11 1203968638 8634121626 9113321317 (Phil Carmody, k=382)
- 11 1324439855 2139890368 8656881887 (Phil Carmody, k=931)
- 11 1874375426 4624846237 2750470823 (David Broadhurst, k=7)
- 11 2062434201 1359287419 7106447287 (David Broadhurst, k=1)
- 11 2435853830 7511222394 4702370259 (David Broadhurst, k=1)
- 11 2715902274 8255986060 2147431969 (David Broadhurst, k=16)
- 11 2936193265 0728112457 8187958809 (Patrick Demichel, k=45068)
- 11 3445155168 8055264048 7798473761 (Patrick Demichel, k=362320)
- 11 4195098464 6169474560 2345915317 (David Broadhurst, k=58)
- 11 4653458969 7529319527 5219709091 (David Broadhurst, k=5)
- 11 4658318410 4639757255 4013747303 (David Broadhurst, k=9)
- 11 4673683734 8122106848 7111789463 (David Broadhurst, k=1)
- 11 4719499607 3366069389 7668660331 (David Broadhurst, k=5)
- 11 5206911046 0922584792 6219127637 (Phil Carmody, k=2318)
- 11 5217614858 3344306330 0373777249 (Phil Carmody, k=2416)
- 11 5480636767 4267477277 7277700543 (Phil Carmody, k=361)
- 11 6659996910 2774621569 8456908703 (David Broadhurst, k=1)
- 11 6960644316 7644291025 0683646721 (Patrick Demichel, k=110720)
- 11 6990770870 8790165511 0582699971 (Phil Carmody, k=2315)
- 11 7230345531 1755147792 7464838103 (Phil Carmody, k=889)
- 11 7396944273 0909090897 3512146637 (David Broadhurst, k=2)
- 11 8187534749 2045174985 3857640249 (David Broadhurst, k=68)
- 11 8433985179 8211448121 8257619601 (Phil Carmody, k=200)
- 11 8550136689 3757313508 2648255477 (David Broadhurst, k=2)
- 11 8570272036 1951107438 4399846099 (David Broadhurst, k=13)
- 11 9231198976 2924073520 2554145613 (David Broadhurst, k=34)
- 11 9670807845 8081180799 8410372967 (Norm Dresner, k=12607)
- 11 9917916058 1403737382 6019765877 (Phil Carmody, k=106)
- 12 0025986167 5964913657 6364520293 (David Broadhurst, k=2)
- 12 0832951841 7201280719 4982190277 (David Broadhurst, k=46)
- 12 0912165361 7144287872 1085310893 (Patrick Demichel, k=6986)
- 12 0939737076 9699786072 0440365303 (Phil Carmody, k=139)
- 12 1388952766 4646942928 1475811957 (Patrick Demichel, k=140786)
- 12 2293368157 6765302721 4818376317 (Phil Carmody, k=1062)
- 12 2774045225 4919681878 8785451453 (Patrick Demichel, k=2033446)
- 12 3071032612 4857982773 0109674081 (David Broadhurst, k=80)
- 12 3081941281 8075682807 5290966969 (David Broadhurst, k=4)
- 12 3180310074 7715069028 9384370927 (David Broadhurst, k=7)
- 12 3339773341 0376485644 5283446053 (Phil Carmody, k=442)
- 12 4651750463 3218091525 1463127543 (David Broadhurst, k=1)
- 12 5128560201 0698825569 4444863093 (Patrick Demichel, k=116854)
- 12 5255450865 9698227921 5182681051 (Phil Carmody, k=275)
- 12 5421093880 5682226289 9922245103 (Phil Carmody, k=1747)
- 12 5554905136 9486305136 9487560687 (David Broadhurst, k=1)
- 12 5561036790 7264877780 8837468783 (Patrick Demichel, k=1616249)
- 12 5762041999 5103218785 9276223397 (Patrick Demichel, k=2831622)
- 12 6037249530 2458625979 1371847211 (David Broadhurst, k=5)
- 12 6476592405 3149266180 5365138293 (Patrick Demichel, k=9194)
- 12 6525535368 3220223413 1139850063 (Phil Carmody, k=749)
- 12 6828481342 9624165034 1894085049 (David Broadhurst, k=4)
- 12 6852483937 3333333320 6480849397 (Patrick Demichel, k=27106)
- 12 7040825708 0177932487 6512279103 (David Broadhurst, k=1)
- 12 7632745454 5454545454 5455821783 (David Broadhurst, k=1)
- 12 8023694927 5016015357 0293623037 (David Broadhurst, k=46)
- 12 8844468132 9727965066 7700849689 (Phil Carmody, k=3508)
- 12 8917093995 9263607351 0346513369 (Paul Leyland, k=35316)
- 12 9098612779 1012330821 7483905063 (Phil Carmody, k=4349)
- 12 9212899429 7172086433 8814655099 (David Broadhurst, k=1)
- 12 9339186757 8675786757 8674493367 (Patrick Demichel, k=215561)
- 12 9429762644 6883585276 6166693933 (David Broadhurst, k=2)
- 12 9553069605 3729345028 9126770487 (Patrick Demichel, k=1674297)
- 13 0217309373 3345833126 3128523767 (David Broadhurst, k=1)
- 13 0391578873 9276415433 3835331623 (Patrick Demichel, k=7039)
- 13 0593851325 1445621392 4124198967 (David Broadhurst, k=1)
- 13 0679511415 5852400619 3291701099 (Patrick Demichel, k=89423)
- 13 1003745159 2166278461 6829976367 (Phil Carmody, k=297)
- 13 1179031508 1982281303 5448291117 (David Broadhurst, k=2)
- 13 1357210349 1390803138 7851600247 (Phil Carmody, k=431)
- 13 1384370448 8690137123 3233470727 (David Broadhurst, k=1)
- 13 2637168415 0182603851 7545435451 (Phil Carmody, k=1075)
- 13 3012169935 0161915930 9073211161 (David Broadhurst, k=20)
- 13 3549804271 8650693346 1796384623 (David Broadhurst, k=1)
- 13 3638735245 4846469642 0113042451 (Patrick Demichel, k=2146825)
- 13 3803620326 3187777318 9384157007 (Phil Carmody, k=311)
- 13 5106636388 9650957702 1871054001 (Patrick Demichel, k=63000)
- 13 5120323383 6164130819 3000461361 (Norm Dresner, k=10360)
- 13 5766014981 0079109242 6392302197 (Patrick Demichel, k=76702)
- 13 6962458080 3895395723 2873142207 (David Broadhurst, k=1)
- 13 7460541253 4125341253 4123966649 (Patrick Demichel, k=44908)
- 13 8792888880 8830989129 3156729783 (David Broadhurst, k=67)
- 13 8841835944 8303871841 5528118939 (David Broadhurst, k=29)
- 13 8953671279 3273128862 6355605579 (David Broadhurst, k=1)
- 13 8970056330 5003693122 6033636807 (Patrick Demichel, k=211587)
- 13 9074137761 0574386198 0462252969 (Patrick Demichel, k=2187996)
- 13 9604646235 4604266179 6603686607 (David Broadhurst, k=1)
- 13 9636910781 8096060514 5983902223 (Patrick Demichel, k=592859)
- 14 0082728998 1920804962 7901108413 (David Broadhurst, k=2)
- 14 0650447504 5524254755 3825297727 (Phil Carmody, k=667)
- 14 0651131527 6356849335 4992017281 (Norm Dresner, k=11840)
- 14 2222045250 8155297710 6947121179 (Patrick Demichel, k=26383)
- 14 2341867567 9872462057 5834450849 (David Broadhurst, k=16)
- 14 3013026975 8721009232 7409351329 (Patrick Demichel, k=474096)
- 14 3340244835 9227947443 5517826847 (Phil Carmody, k=257)
- +14346353391098975362754290118329
(k=8823095566481534663440522828)
- 14 3496090826 3955679686 4618004717 (David Broadhurst, k=2)
- 14 4762378163 3994580658 7638705121 (Patrick Demichel, k=211760)
- 14 4992052874 5585323076 5856515647 (Patrick Demichel, k=6151)
- 14 5083810127 7427138617 1508969579 (David Broadhurst, k=1)
- 14 5905185699 6216328878 5205413223 (David Broadhurst, k=1)
- 14 6137814891 8056830058 6374460727 (David Broadhurst, k=1)
- 14 6654556916 3145750965 9594802663 (David Broadhurst, k=1)
- 14 6688226147 7552626970 0086553779 (David Broadhurst, k=81)
- 14 7083105303 0364825792 9218735557 (Patrick Demichel, k=244406)
- 14 7107192404 2830448749 5613547223 (David Broadhurst, k=9)
- 14 7974764732 1478829736 0405976841 (Phil Carmody, k=140)
- 14 8310572722 8986610387 1694638133 (David Broadhurst, k=2)
- 14 8320586777 6642004032 6201780459 (Phil Carmody, k=511)
- 14 8699771231 6915257886 5839249047 (David Broadhurst, k=1)
- 14 8862838518 7802027693 3788001939 (Patrick Demichel, k=22411)
- 14 9767758111 3829707926 8984853653 (David Broadhurst, k=2)
- 15 0272657338 8868141249 6713988237 (Phil Carmody, k=282)
- 15 1290004883 1006510149 2095600493 (David Broadhurst, k=2)
- 15 2100414599 5435709867 8074332437 (David Broadhurst, k=2)
- 15 2137455267 4676389355 9796542917 (Phil Carmody, k=442)
- 15 2799596945 5555555540 2755958611 (David Broadhurst, k=5)
- 15 3138592269 9528213749 2989759623 (David Broadhurst, k=1)
- 15 3144311089 8633731776 5489420703 (David Broadhurst, k=37)
- 15 3604150769 4535560253 4579334943 (Patrick Demichel, k=53439)
- 15 3678358395 0527773792 9544100757 (Phil Carmody, k=122)
- 15 3900227405 3790940416 5851887379 (Patrick Demichel, k=93743)
- 15 4074361700 5456549588 3548724567 (David Broadhurst, k=1)
- 15 4518143354 5168562836 5897944251 (Patrick Demichel, k=2564875)
- 15 4536365843 2612085254 0730336767 (David Broadhurst, k=1)
- 15 4783824535 5291709953 3862342649 (David Broadhurst, k=4)
- 15 4898000420 2641436912 2243633211 (David Broadhurst, k=85)
- 15 5007521477 8513161484 1009170099 (Phil Carmody, k=313)
- 15 5048450064 4734512137 1075947477 (David Broadhurst, k=86)
- 15 6855431293 3676421674 0340255739 (Norm Dresner, k=10801)
- 15 7004029005 0707070691 3703041703 (David Broadhurst, k=1)
- 15 7027254545 4545454545 4547024819 (David Broadhurst, k=1)
- 15 7183847359 8052180699 3686326819 (David Broadhurst, k=19)
- 15 7192655865 0305237532 4888916053 (David Broadhurst, k=2)
- 15 7660174678 2532174678 2533751281 (Phil Carmody, k=440)
- 15 7876054763 3802162273 1090581091 (David Broadhurst, k=5)
- 15 8287399329 7375714379 5529998207 (David Broadhurst, k=1)
- 15 8656029910 2248066544 0268067761 (Patrick Demichel, k=5320)
- 16 0458681686 5320493941 4220824357 (David Broadhurst, k=22)
- 16 0619312482 5192939877 9967496331 (David Broadhurst, k=5)
- 16 1019233288 7814119907 3199521663 (David Broadhurst, k=29)
- 16 1024961640 6863819808 0172202967 (David Broadhurst, k=1)
- 16 1897429351 6856838170 1245732463 (David Broadhurst, k=19)
- 16 1989918788 3587408433 9736325899 (David Broadhurst, k=31)
- 16 2292281394 8788162880 9466178533 (David Broadhurst, k=22)
- 16 2388450345 3594600907 2873037293 (David Broadhurst, k=34)
- 16 2448399999 9999999999 9998375517 (Patrick Demichel, k=8042)
- 16 2965097355 5384939006 9883445957 (Phil Carmody, k=178)
- 16 3171704375 1704655048 9721069503 (David Broadhurst, k=39)
- 16 3913927323 8742568028 6853492459 (David Broadhurst, k=1)
- 16 5366078780 0482272048 2739371397 (David Broadhurst, k=82)
- 16 6121623866 9519857959 2111105397 (David Broadhurst, k=2)
- 16 6401033880 0367584069 2800853007 (David Broadhurst, k=1)
- 16 6445726978 6451975692 5360849783 (Patrick Demichel, k=7429)
- 16 6561495835 9333347485 9618102517 (Patrick Demichel, k=44386)
- 16 6686671908 5878643985 7486183329 (Patrick Demichel, k=228208)
- 16 7019317918 9836834304 3213556007 (Patrick Demichel, k=2751281)
- 16 7531481145 7408532311 5740579721 (Phil Carmody, k=140)
- 16 8732775849 7382962404 5748993489 (David Broadhurst, k=8)
- 16 9058113427 1853813051 9994231131 (David Broadhurst, k=5)
- 16 9333464872 1141619757 1378985703 (David Broadhurst, k=1)
- 16 9334123861 6257739477 6289482731 (Patrick Demichel, k=153435)
- 16 9911922924 8857466505 2144701413 (David Broadhurst, k=14)
- 17 0173185786 7188323397 6280881769 (Norm Dresner, k=10228)
- 17 0804128579 9328537090 0776425223 (Patrick Demichel, k=8479)
- 17 1220670720 4331589588 5087133281 (Patrick Demichel, k=66960)
- 17 1742917616 3206309134 4050427139 (David Broadhurst, k=1)
- 17 1905354238 8984938398 5170313407 (David Broadhurst, k=1)
- 17 2199728914 1885131103 5343602769 (John Gamble, k=14616)
- 17 2808271711 4414591903 9214200739 (Patrick Demichel, k=9119)
- 17 3143556467 5946473444 8485727647 (Patrick Demichel, k=2671091)
- 17 3980113289 2548549097 7817235601 (Phil Carmody, k=200)
- 17 4116460914 6918978186 0054426327 (David Broadhurst, k=43)
- 17 4173811447 6807981061 0080396853 (Patrick Demichel, k=23974)
- 17 4265244647 7695966776 4035548527 (David Broadhurst, k=7)
- 17 4326620090 8159935452 5656443453 (Phil Carmody, k=254)
- 17 4460641250 5203252015 0742610783 (Patrick Demichel, k=99257)
- 17 4680767878 4240391262 5523285287 (Phil Carmody, k=19933)
- 17 5301815724 5471337943 1348749451 (Phil Carmody, k=275)
- 17 6166871106 4769139192 5412621647 (David Broadhurst, k=1)
- 17 6471132879 2247082151 4785850281 (Phil Carmody, k=1060)
- 17 6770908336 5248031696 4427785727 (Patrick Demichel, k=111567)
- 17 6887323841 0183083631 3295759809 (Patrick Demichel, k=180448)
- 17 7399690255 4035743882 8501866743 (Phil Carmody, k=4711)
- 17 8246169736 5669278397 3760413407 (David Broadhurst, k=91)
- 17 8350726141 1018850714 0720988889 (David Broadhurst, k=68)
- 17 8887333009 4308943071 5421610081 (David Broadhurst, k=80)
- 17 8909549832 4504091322 2188723943 (Phil Carmody, k=617)
- 17 9218650365 9606415557 6229349369 (Patrick Demichel, k=22756)
- 17 9542910139 3712826988 8987840419 (David Broadhurst, k=1)
- 17 9572207064 4587422346 6306657053 (Patrick Demichel, k=73394)
- 17 9909653171 5090452621 7445382281 (Patrick Demichel, k=8260)
- 18 0080135791 5706417718 0577082837 (David Broadhurst, k=2)
- 18 0540733386 2903602635 3906890449 (Phil Carmody, k=1976)
- 18 0575754593 7826061784 4362411247 (David Broadhurst, k=11)
- 18 0685555074 8878301064 8192746009 (Patrick Demichel, k=28356)
- 18 1669001583 0995916926 5961107207 (Phil Carmody, k=851)
- 18 3252971796 6762851684 3784438499 (David Broadhurst, k=1)
- 18 3307790562 6202702116 4053140773 (David Broadhurst, k=2)
- 18 3579166573 8254755324 0067588009 (David Broadhurst, k=4)
- 18 4551724138 2233047672 3297409773 (Patrick Demichel, k=9354)
- 18 4752474178 3612708835 8860234677 (Phil Carmody, k=2218)
- 18 4998664601 7226242925 1645402533 (Phil Carmody, k=5034)
- 18 5076574321 2742626935 6378923921 (David Broadhurst, k=40)
- 18 5342515334 8466515334 8468368761 (Patrick Demichel, k=82580)
- 18 5923044361 8295177244 6483567413 (David Broadhurst, k=2)
- 18 6260221436 1738028856 3876253167 (David Broadhurst, k=23)
- 18 6456273845 2213122112 5756848287 (Patrick Demichel, k=673227)
- 18 6470079818 2524545675 5789004143 (Phil Carmody, k=109)
- 18 7215519297 0124447618 7274926647 (Phil Carmody, k=1081)
- 18 7215563771 8372370819 9467095877 (Phil Carmody, k=2842)
- 18 7709614013 4424689682 6715075689 (David Broadhurst, k=36)
- 18 8400047842 3444376948 4061889299 (David Broadhurst, k=1)
- 18 8953100329 8304539957 0276557293 (Patrick Demichel, k=579482)
- 18 9496268947 2525252506 3028983579 (Phil Carmody, k=289)
- 19 2203380397 9829494861 7355096967 (Phil Carmody, k=403)
- 19 2303937240 1504652544 0508753371 (Phil Carmody, k=615)
- 19 2556333052 8270642852 8668529613 (David Broadhurst, k=2)
- 19 2725764788 3133452552 1918560419 (David Broadhurst, k=29)
- 19 2836724169 1169985841 8333261693 (Patrick Demichel, k=199974)
- 19 3197145017 4157115873 4227409453 (David Broadhurst, k=2)
- 19 3584654533 8610358916 3313489983 (Phil Carmody, k=129)
- 19 3655556861 2496391105 2029870197 (David Broadhurst, k=2)
- 19 3739338864 7027492868 6816316807 (Norm Dresner, k=12147)
- 19 3739449976 2618537878 9602471731 (David Broadhurst, k=5)
- 19 4519872089 0431896647 7380536299 (David Broadhurst, k=1)
- 19 5102367148 8643300993 0770222453 (David Broadhurst, k=2)
- 19 5195430367 3373110333 1431459281 (Phil Carmody, k=360)
- 19 5439099710 1805669596 4573412493 (Phil Carmody, k=194)
- 19 6655872298 3329915431 1276882823 (David Broadhurst, k=1)
- 19 7419785862 7957804273 1502393321 (Norm Dresner, k=10220)
- 19 7716428024 9469421767 3786807129 (Norm Dresner, k=12508)
- 19 9183207754 2561754912 1181866583 (David Broadhurst, k=9)
- 20 0432996337 9749292154 0504414649 (David Broadhurst, k=4)
- 20 1077020063 1319886126 6480489847 (Phil Carmody, k=973)
- 20 1148636882 6493622852 3872891761 (Patrick Demichel, k=109960)
- 20 1543064020 5644608144 3923438927 (David Broadhurst, k=13)
- 20 1824360090 1549393615 1635299437 (Phil Carmody, k=2086)
- 20 2591604485 2074087693 4969411451 (Patrick Demichel, k=312025)
- 20 2831380345 0804193300 8687649567 (Patrick Demichel, k=394861)
- 20 3039001626 0162601626 0160571237 (Patrick Demichel, k=45226)
- 20 3218182763 4949468519 9987330247 (Patrick Demichel, k=92997)
- 20 3312526941 3055425346 1331624689 (Patrick Demichel, k=40616)
- 20 3468996602 7217778872 8101103293 (David Broadhurst, k=2)
- 20 4441044586 7773190460 6292786367 (David Broadhurst, k=1)
- 20 4608382792 9516932710 5789612127 (Phil Carmody, k=1211)
- 20 6328880448 6894552185 2231112801 (Patrick Demichel, k=2223600)
- 20 6423215638 7806954368 8192309813 (Patrick Demichel, k=9062)
- 20 7476782807 7935480343 0458697557 (Patrick Demichel, k=88526)
- 20 7764141052 7426134961 9667642053 (Norm Dresner, k=10882)
- 20 8631980107 4482266584 5042605053 (David Broadhurst, k=2)
- 20 9645318060 5739518957 5834675157 (David Broadhurst, k=2)
- 20 9763849295 9789616118 6190692007 (Patrick Demichel, k=1680101)
- 21 0813276774 7074369302 3428653499 (Patrick Demichel, k=1268683)
- 21 0869972939 0224862584 6769334007 (Phil Carmody, k=211)
- 21 1105947279 4380841762 1224223503 (Phil Carmody, k=1117)
- 21 2228584875 3324453677 3321550173 (Patrick Demichel, k=1071586)
- 21 2389774786 5427620913 8131314169 (David Broadhurst, k=4)
- 21 2884903623 5194302902 2011367087 (Phil Carmody, k=567)
- 21 3539076471 1621466502 2709208567 (Paul Leyland, k=34167)
- 21 3703303464 4747033404 4498801693 (David Broadhurst, k=2)
- 21 3849759850 1773352664 0078351379 (Patrick Demichel, k=70583)
- 21 4049651580 5416385607 6420236729 (David Broadhurst, k=4)
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