आपका स्वागत हैp196.org!
Welcome to p196.org!
और अधिक लोगों को यदि 196 खोज पर काम कर रहे हैं, मैंने सोचा कि मैं किसी के लिए एक स्थान प्रदान करने के लिए आते हैं और नंबर है कि वे मिल गया है सत्यापित करेंगे. अगर तुम्हारा और मेरा मेल नहीं खाते, मुझे पता है!टैग: एरिक गोल्डस्टीन ने कहा है कि फ़ाइलों के कुछ डाटासेट की पहली यात्रा नहीं कर रहे हैं. (8/6/02 के लिए ब्लैकबोर्ड प्रविष्टि देखें) उदाहरण के लिए, 2000244 और 14000008 नीचे दिखाया फ़ाइलें वास्तव में हैं, प्रत्येक की दूसरी यात्रा. मैं मूल रूप से सोचा है कि इन फ़ाइलों के सभी पहले वर्णित अंक लंबाई होते चलना थे, लेकिन लगता है कि मैं नहीं... मैं अब भी विश्वास नहीं है कि वे दिए गए यात्रा के लिए सभी सही हैं! इसके अलावा टैग, Beth कूपर और चुन यी को स्प्रेडशीट कि मैं इस साइट पर कहीं उल्लेख किया है, कि मैं अपनी प्रगति की स्थिति पर नज़र रखने का उपयोग करें देखने के लिए कहा. मैं अगर किसी और रुचि रखता है पता नहीं है, और मैं भी मूल्य क्या है यह किसी को हो सकता है पता नहीं है, लेकिन यहाँ ज़िपित Excel में है फ़ाइल. शायद वहाँ भी 196 चलाकर एरिक गोल्डस्टीन, जो मेरे काम से कुछ की पुष्टि था जैसे लोगों के लिए मूल्य है. मैं इसे छोड़कर शायद शायद ही कभी अद्यतन इरादा नहीं है, लेकिन यह इस दोपहर (10/7/04) के रूप में वर्तमान है. वैसे भी..... यह वहाँ है कि अगर कोई यह चाहता है. यदि और कुछ नहीं, यह एक बहुत अच्छा कैसे मैं आगे चला गया है 'के समय रेखा "दिखाता है ! टैग पृष्ठ के नीचे की ओर, एक प्रोग्राम है कि आप डाउनलोड कर सकते हैं, कि बेन Despres द्वारा लिखा गया है. कुछ स्वरूपण के साथ, आप अपने कार्यक्रम में अपना नंबर लोड कर सकते हैं और सत्यापित करें कि किसी भी यात्रा पर हैं, तो आप सही जवाब दे रहा है . यहाँ हर डेटा फ़ाइल के पहले 25 अंक मुझे लगता है कि कर रहे हैं..... मुझे आशा है कि यह किसी के लिए उपयोगी है. :-) टैग नोट: के रूप में मैं पीछे अद्यतन में गिर गया है, इस पृष्ठ को अद्यतन रखने के भारी सा हो गया है. इसके अलावा, मैं वास्तव में हर मील का पत्थर डेटा जोड़ने के किसी काम का नहीं है किसी को भी, जब से मैं किसी का पता नहीं मेरा काम यह पता करना duplicating दूर नहीं लगता. एक परिणाम के रूप में, मैं यह पूरी तरह चालू रखने बंद है. अगर कोई फैसला किया है कि वे सच में एक डाटासेट के पहले 25 अंक सूचीबद्ध यहाँ नहीं पता है, मुझे पता है की जरूरत है, और मैं आपको जानकारी सीधे ईमेल करेंगे. मुझे यकीन है कि हर कोई समझता है .
| Digit Count | Iteration | First 25 Digits |
| 1,000,000 | 2,415,836 | 1321620866345900792403087 |
| 2,000,000 | 4,830,292 | 1771479103435526006981020 |
| 2,000,244 | 4,830,868 | 4966682241339127981797944 |
| 3,000,000 | 7,245,928 | 1572127370436337959801040 |
| 4,000,000 | 9,662,071 | 1189951505503730299942650 |
| 5,000,000 | 12,078,865 | 1786916673224171246235654 |
| 6,000,000 | 14,495,294 | 1717694931286918098671266 |
| 7,000,000 | 16,911,863 | 1370104827081045647878991 |
| 8,000,000 | 19,327,667 | 1019762622265770924957665 |
| 9,000,000 | 21,744,278 | 1877698672190182856774072 |
| 10,000,000 | 24,159,531 | 1570638871513424055539043 |
| 11,000,000 | 26,574,642 | 1552863515777339147880472 |
| 12,000,000 | 28,991,159 | 1094658057189398961997993 |
| 13,000,000 | 31,408,295 | 1570104209676429293120872 |
| 14,000,000 | 33,824,775 | 1760057992641613493083452 |
| 14,000,008 | 33,824,793 | 4479163772166847272965861 |
| 15,000,000 | 36,240,602 | 1031240279852766564723228 |
| 16,000,000 | 38,655,227 | 1765950614893173230506692 |
| 17,000,000 | 41,070,365 | 1326956429587373980563323 |
| 18,000,000 | 43,487,182 | 1023601015155152788222220 |
| 19,000,000 | 45,901,512 | 1061077962735256900716595 |
| 20,000,000 | 48,316,988 | 1055357468774267123532056 |
| 21,000,000 | 50,732,545 | 1366299557692634038868234 |
| 22,000,000 | 53,148,015 | 1618818677775920355359715 |
| 23,000,000 | 55,565,809 | 1314877753155237116425525 |
| 24,000,000 | 57,982,436 | 1011377187109780706245147 |
| 25,000,000 | 60,398,130 | 1090994049526433659630228 |
| 26,000,000 | 62,816,046 | 1117977825788778867038244 |
| 27,000,000 | 65,231,462 | 1076857885074947084574730 |
| 28,000,000 | 67,648,377 | 1823526487861564244724874 |
| 29,000,000 | 70,067,270 | 1751451457695893086640504 |
| 30,000,000 | 72,482,579 | 7983997334581381745393030 |
| 31,000,000 | 74,899,358 | 1782282447580070383893664 |
| 32,000,000 | 77,314,955 | 1758023338115480171010379 |
| 33,000,000 | 79,731,034 | 1191494564496990603108460 |
| 34,000,000 | 82,145,364 | 1776180000353277502063208 |
| 35,000,000 | 84,563,227 | 9667719580493752405737223 |
| 36,000,000 | 86,979,674 | 1260718990353737727166287 |
| 37,000,000 | 89,397,247 | 1713947301231045001039844 |
| 38,000,000 | 91,812,894 | 1083367793408406027652822 |
| 39,000,000 | 94,228,899 | 1723587855017460734098176 |
| 40,000,000 | 96,645,213 | 1796080271215504475068003 |
| 41,000,000 | 99,061,141 | 1312344045189134863351509 |
| 41,388,546 | 100,000,000 | 9974438904743885498437291 |
| 42,000,000 | 101,476,346 | 1323537379287526648818853 |
| 43,000,000 | 103,893,138 | 1435691352112910044161238 |
| 44,000,000 | 106,309,010 | 1782430225531195634814511 |
| 44,444,444 | 107,382,665 | 1834222638993065199417095 |
| 45,000,000 | 108,723,539 | 1754201184575564515873759 |
| 46,000,000 | 111,138,308 | 1031943459984297079060569 |
| 47,000,000 | 113,554,695 | 1714140231595266216147023 |
| 48,000,000 | 115,969,543 | 1027319277035757930071344 |
| 49,000,000 | 118,387,016 | 1682327227245818701228607 |
| 50,000,000 | 120,802,305 | 1132236530787968938016671 |
| 51,000,000 | 123,218,044 | 7189775322254585819022781 |
| 51,737,154 | 125,000,000 | 1407502882820027975246439 |
| 52,000,000 | 125,634,154 | 1328004039944465751897404 |
| 53,000,000 | 128,050,160 | 1359977662868610427305071 |
| 54,000,000 | 130,463,975 | 1881923366313273415179428 |
| 55,000,000 | 132,880,223 | 1033298508834332407949161 |
| 56,000,000 | 135,295,252 | 1753668819826260460568993 |
| 57,000,000 | 137,712,060 | 1618620689808652775577199 |
| 58,000,000 | 140,128,242 | 1775871269524132894299290 |
| 59,000,000 | 142,544,153 | 1609879637228067420870014 |
| 60,000,000 | 144,958,406 | 1960882487804145715718858 |
| 61,000,000 | 147,375,122 | 1727971809395357592464645 |
| 62,000,000 | 149,790,895 | 1715004244814853908992584 |
| 62,086,375 | 150,000,000 | 1642624515892626147533628 |
| 63,000,000 | 152,207,835 | 1776989222706458077880113 |
| 64,000,000 | 154,623,289 | 1051257477717223642530126 |
| 65,000,000 | 157,038,002 | 1780395318130583334332747 |
| 66,000,000 | 159,455,103 | 1511850227165859502646376 |
| 67,000,000 | 161,871,411 | 1595889760479982515515654 |
| 68,000,000 | 164,287,044 | 1771960332000080473579801 |
| 69,000,000 | 166,704,687 | 1757016083265992389585326 |
| 70,000,000 | 169,121,766 | 1315049565144120454520311 |
| 71,000,000 | 171,538,507 | 1809597642702333754908891 |
| 72,000,000 | 173,953,453 | 1015802779684755714656655 |
| 72,433,237 | 175,000,000 | 1316559584457038932346512 |
| 73,000,000 | 176,368,856 | 1632106585426253096555012 |
| 74,000,000 | 178,784,747 | 1986111000106825979146786 |
| 75,000,000 | 181,199,797 | 1008705138345884691746272 |
| 76,000,000 | 183,616,094 | 1198699207272219566300138 |
| 77,000,000 | 186,032,643 | 1352672193204568014634580 |
| 78,000,000 | 188,447,228 | 1776756206228864215556798 |
| 79,000,000 | 190,862,368 | 1721124162365259992368277 |
| 80,000,000 | 193,277,613 | 1276307469099717799141965 |
| 81,000,000 | 195,693,825 | 1808312984821215632848674 |
| 82,000,000 | 198,109,015 | 1012480217638681141201751 |
| 83,000,000 | 200,524,477 | 1319596114795897939644010 |
| 84,000,000 | 202,939,323 | 1475989142103872062172123 |
| 85,000,000 | 205,355,672 | 1751939135396043222508585 |
| 86,000,000 | 207,771,197 | 1838830663332309393661252 |
| 87,000,000 | 210,186,316 | 1776793449035037308767206 |
| 88,000,000 | 212,602,940 | 1763659752403662711071184 |
| 89,000,000 | 215,018,872 | 1175499636497806735606789 |
| 90,000,000 | 217,433,686 | 1315668188291812932328716 |
| 91,000,000 | 219,850,418 | 1818340855113748165713548 |
| 92,000,000 | 222,266,315 | 1028371706886347137074883 |
| 93,000,000 | 224,680,750 | 1440330481696796849948050 |
| 94,000,000 | 227,095,084 | 1046866858222464987946767 |
| 95,000,000 | 229,512,704 | 1766913757711631595955714 |
| 96,000,000 | 231,928,518 | 1368479950294739386391187 |
| 97,000,000 | 234,344,371 | 1362828111646940179935559 |
| 98,000,000 | 236,759,404 | 1881507588454484016602013 |
| 99,000,000 | 239,175,318 | 1032406741781114441023479 |
| 100,000,000 | 241,590,277 | 1768299281546132721740051 |
| 101,000,000 | 244,006,839 | 1592228315604702996112807 |
| 102,000,000 | 246,423,282 | 1032307672289521340027980 |
| 103,000,000 | 248,840,359 | 1728363664385978446379558 |
| 104,000,000 | 251,254,880 | 1371628576057332728611441 |
| 105,000,000 | 253,670,404 | 1408171282423797037195446 |
| 106,000,000 | 256,084,270 | 1010961355482533511759009 |
| 107,000,000 | 258,498,530 | 1775655571279791294879229 |
| 108,000,000 | 260,914,435 | 1034968781871203163914679 |
| 109,000,000 | 263,328,945 | 1834854968067461127800545 |
| 110,000,000 | 265,745,475 | 1276319349159512469971672 |
| 111,000,000 | 268,160,697 | 1636030357158473358172278 |
| 112,000,000 | 270,575,863 | 1778781020534052343845183 |
| 113,000,000 | 272,991,794 | 1776694520310345481883637 |
| 114,000,000 | 275,405,890 | 1838339385684762471833877 |
| 115,000,000 | 277,820,730 | 1062513163198909662417864 |
| 116,000,000 | 280,236,256 | 1342599540844045251109166 |
| 117,000,000 | 282,651,618 | 1726560261621573127603656 |
| 118,000,000 | 285,066,604 | 1065645149596777550426168 |
| 119,000,000 | 287,481,429 | 1369987370648582204968231 |
| 120,000,000 | 289,896,907 | 1364754677893412956617791 |
| 121,000,000 | 292,311,641 | 1077725969274592498575304 |
| 122,000,000 | 294,727,521 | 1021367585335991684990409 |
| 123,000,000 | 297,143,533 | 1357593504958409900797997 |
| 124,000,000 | 299,557,657 | 1764378472069655752133500 |
| 125,000,000 | 301,974,027 | 1884349195617554876361307 |
| 126,000,000 | 304,389,137 | 1814691856257280526407595 |
| 127,000,000 | 306,805,299 | 1309531209941831133045217 |
| 128,000,000 | 309,221,256 | 1189989613884366553921768 |
| 129,000,000 | 311,637,141 | 1395051195770820383642774 |
| 130,000,000 | 314,052,527 | 1771135333660318106892108 |
| 131,000,000 | 316,468,413 | 1778391702927079758653571 |
| 132,000,000 | 318,884,030 | 1012725947322424967634762 |
| 133,000,000 | 321,299,093 | 1121041007140108077870210 |
| 134,000,000 | 323,715,600 | 1847779323392555637004235 |
| 135,000,000 | 326,131,076 | 1280083196671448796316209 |
| 136,000,000 | 328,547,998 | 1729238936136697427548393 |
| 137,000,000 | 330,963,887 | 1597118719384752284695424 |
| 138,000,000 | 333,379,370 | 1774619990337551728717581 |
| 139,000,000 | 335,795,486 | 1617678254614088001034677 |
| 140,000,000 | 338,210,775 | 1644699407125444079404186 |
| 141,000,000 | 340,626,948 | 1327486016146262830536853 |
| 142,000,000 | 343,043,659 | 1327710752846177644901575 |
| 143,000,000 | 345,459,815 | 1596411840598771306167516 |
| 144,000,000 | 347,875,673 | 1730214275086980347571340 |
| 145,000,000 | 350,292,487 | 1718265558795616271668352 |
| 146,000,000 | 352,708,290 | 1312106668717122045265595 |
| 147,000,000 | 355,125,177 | 1767142633789771140100238 |
| 148,000,000 | 357,540,909 | 1600598556023084120548792 |
| 149,000,000 | 359,956,876 | 1642997003809356893180691 |
| 150,000,000 | 362,372,813 | 1314637152473183654990226 |
| 151,000,000 | 364,788,891 | 1188332537874075530304529 |
| 152,000,000 | 367,204,161 | 1073006369604535918485472 |
| 153,000,000 | 369,619,640 | 1859555702340902960335797 |
| 154,000,000 | 372,035,743 | 1760875634779847532377788 |
| 155,000,000 | 374,450,389 | 1771357398392101622859349 |
| 156,000,000 | 376,866,208 | 1023524464013606297309847 |
| 157,000,000 | 379,281,305 | 1142611035475515082947139 |
| 158,000,000 | 381,697,126 | 1638277710993139992025743 |
| 159,000,000 | 384,113,355 | 1142471351629698087522809 |
| 160,000,000 | 386,529,610 | 1681205753431630755947393 |
| 161,000,000 | 388,944,754 | 1025169762868649578809387 |
| 162,000,000 | 391,360,944 | 1056390811637837662190790 |
| 163,000,000 | 393,776,305 | 1818281510468184428404022 |
| 164,000,000 | 396,192,233 | 1017374370556308805985779 |
| 165,000,000 | 398,607,648 | 1992009903767606779381369 |
| 166,000,000 | 401,023,403 | 1329054188054981518112269 |
| 167,000,000 | 403,439,651 | 1316910951280828179910916 |
| 168,000,000 | 405,856,956 | 1327045841005308772401100 |
| 169,000,000 | 408,272,435 | 1076970507213999804808448 |
| 170,000,000 | 410,688,792 | 1321151759791130796049814 |
| 171,000,000 | 413,104,065 | 1198549725898726826143301 |
| 172,000,000 | 415,517,439 | 1325272168128847516405635 |
| 173,000,000 | 417,933,403 | 1589743019357954569195326 |
| 174,000,000 | 420,349,873 | 1790003513535215165183808 |
| 175,000,000 | 422,765,244 | 1312399913323475917294279 |
| 176,000,000 | 425,181,055 | 1769432898013976506388766 |
| 177,000,000 | 427,599,027 | 1818626607326632254471135 |
| 178,000,000 | 430,016,536 | 1326521712418739845238528 |
| 179,000,000 | 432,433,414 | 1756008571102755130842700 |
| 180,000,000 | 434,849,911 | 1080033386138916259428564 |
| 181,000,000 | 437,267,293 | 1329090739338784333341325 |
| 182,000,000 | 439,682,132 | 1133666960819913715481109 |
| 183,000,000 | 442,097,346 | 1387429023786513990346910 |
| 184,000,000 | 444,512,168 | 1321031053840463298205400 |
| 185,000,000 | 446,927,453 | 1841359440807157555745530 |
| 186,000,000 | 449,343,164 | 1436621873243350049254447 |
| 187,000,000 | 449,343,164 | 1760077886420128171435125 |
| 188,000,000 | 454,174,655 | 1645558013977187718195235 |
| 189,000,000 | 456,588,593 | 1634325347132490436204748 |
| 190,000,000 | 459,004,983 | 1343550229273330059631588 |
| 191,000,000 | 461,419,218 | 1059776527743508311624176 |
| 192,000,000 | 463,835,090 | 1050534741172605814636542 |
| 193,000,000 | 466,250,388 | 1029883359151196593470782 |
| 194,000,000 | 468,667,675 | 1778455050891958552858248 |
| 195,000,000 | 471,085,391 | 1099325204644556770554785 |
| 196,000,000 | 473,503,339 | 1153735022700273560598532 |
| 197,000,000 | 475,919,151 | 1724946300386006686906998 |
| 198,000,000 | 478,335,425 | 1714396635836795679955072 |
| 199,000,000 | 480,750,860 | 1331657446855898449041806 |
| 200,000,000 | 483,166,859 | 1799071225594998429967931 |
| 201,000,000 | 485,581,911 | 1108284260244640194542287 |
| 202,000,000 | 487,996,904 | 1196020372202958470929067 |
| 203,000,000 | 490,413,021 | 1046351701504472273576819 |
| 204,000,000 | 492,829,843 | 1644462350518600021444956 |
| 205,000,000 | 495,245,922 | 1646167982208731045769174 |
| 206,000,000 | 497,662,056 | 1877755165049243939821476 |
| 206,967,875 | 500,000,000 | 8918589423163331686495122 |
| 207,000,000 | 500,077,852 | 1797488733775233079132274 |
| 208,000,000 | 502,495,484 | 1744941635998996581169339 |
| 209,000,000 | 504,913,664 | 1792907222802001951438933 |
| 210,000,000 | 507,329,950 | 1771175645046732089097139 |
| 211,000,000 | 509,745,400 | 1843704293845284058481146 |
| 212,000,000 | 512,162,233 | 1982904778200990006745751 |
| 213,000,000 | 514,577,796 | 1846165739251682244770519 |
| 214,000,000 | 516,992,665 | 1512971247633930532350888 |
| 215,000,000 | 519,408,582 | 1725317666128036787316284 |
| 216,000,000 | 521,825,691 | 1360831732483998591800659 |
| 217,000,000 | 524,242,175 | 1816927139005667363497058 |
| 218,000,000 | 526,658,409 | 1561620443180033117533292 |
| 219,000,000 | 529,075,350 | 1319808959325670088638232 |
| 220,000,000 | 531,491,865 | 1634273529758445307189566 |
| 221,000,000 | 533,907,350 | 1110877014860707713184428 |
| 222,000,000 | 536,322,341 | 1135599357769221630012377 |
| 223,000,000 | 538,737,263 | 1314487905309579712064310 |
| 224,000,000 | 541,153,446 | 1776752824611635706720478 |
| 225,000,000 | 543,569,184 | 1386065459714198997653566 |
| 226,000,000 | 545,986,095 | 1752395420852108596738179 |
| 227,000,000 | 548,402,519 | 1014834823371790173254625 |
| 228,000,000 | 550,818,415 | 1016277544726554817059913 |
| 229,000,000 | 553,233,019 | 1019406864798804620082115 |
| 230,000,000 | 555,650,203 | 1706148909500958140200122 |
| 231,000,000 | 558,065,511 | 1844448649515508246479390 |
| 232,000,000 | 560,480,471 | 1192405340671479434412558 |
| 233,000,000 | 562,896,706 | 1778095873670909753059975 |
| 234,000,000 | 565,311,914 | 1370675801717563608722225 |
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CHECKER APPLICATION FROM BEN DESPRES
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The file that you can download HERE is a program that Ben Despres wrote. It runs under windows. When it starts, it will display a file select window, where you can choose which file it is, that you want to check. It's easy enough, even for me.... :-)
He has included a text file with the zip, that goes into some detail of how his program works. I think the descriptions below are a faithful paraphrase of his text file, but if anyone finds a discrepancy between what is here, and what is on the text file with the program, trust the text file, NOT my writeup!! :-)
It works with numbers other than 196. I have tested it on my 879, 1997, 7059, 10553, 10563, 32419, 36973, 43844 files. Turns out that my five million digit 7059 file is wrong. :-( O well......
His MOD-9 discovery is something like this:
I discovered a really neat fact about the checksums of the digits generated by flip-and-add... At any given step, the checksum of the result will equal twice the checksum of the last result minus a multiple of nine (that multiple just happens to equal the number of carries). At first I thought this may lead to a "proof" of Lychrelness, but I have given up that idea for now. *BUT*, it *does* lead to a really simple check of whether or not a given number could have resulted on a given iteration, including in some cases whether or not a number could ever have resulted from a given starting number.
Basically, if Cx equals the MOD-9 sum at iteration X, with C0 meaning the same for the starting value:
Actually, three distinct cycles exist, with only the longest using MOD 6... {0}, {3,6}, and {1,2,4,8,7,5}. 196 itself has the longest of those cycles (and no, unfortunately I could not find any patterns between cycle and converging-vs-conconverging).
So, although the CRC will only detect *new* errors, the MOD-9 checksum will (possibly) detect errors that have already occurred.
A couple of notes:
His application is written to look at a file which has been formatted in what has become known as "Istvan-Standard Formatting". :-) Anyway, the file should be in a format that looks like this:
Automatic save #12345 (CRC, optional, but there must be a number on position 17)
Initial value: 196 (number must begin on position 19)
Iteration: 2415836 (number must begin on position 19)
Number of digits: 1000000 (number must begin on position 19)
1321620866345900792403087149937072597108944871590062627103371677853101
0218789552032457507537977475995640190839955855884253327321850902244094
0920987126363322689017611006006500875888569961960897043759484747753087
......
The automatic save line: If I understand correctly, there MUST be a number on that line, starting on position 17. My thanks to Eric Goldstein for figuring this out. His app was generating the correct numbers, but his files were failing Ben's Checker program. This was why...
The initial value line is obviously just that. What number did you start with? 196, 879, 1997 etc. This will be used by the program for it's calculations. The number MUST begin on position 19.
The Iteration and Digits line are also used by the program to test the data. The number MUST begin on position 19.
The data itself is 70 characters wide, followed by an End of Line. This makes the file much nicer to look at, even if it adds little or no value. It was what Istvan decided on, and Ben's program used Istvan's formatting. (Hence the name "Istvan-Standard Formatting".) :-) He's pretty sure that nothing bad will happen to the file if you do not format it like the one above, but he is sure that it will crash in an interesting, unexpected way. My opinion is to watch out, and test a backup copy of the file!!
So far, the worst thing I have seen is a message that says the number generated is not correct, even though it is.
Any file not generated by Ben's program, (which is just about anything anyone else has!!) will always get a message that reads something like this:
In Ben's own words: I use a non-mirrored, non-reflected, 0XFFFF-in with no XOR-out, standard CRC-16 with a generator polynomial of 0x1021, in case anyone really needs to duplicate my numbers. That's part of his internal checking for the files written by his application. It's O.K. if this warning appears. In fact, you should expect it.
Then it will report on the actual length compared to reported length. (These two numbers should match!! :-) )
Then, if all is good, you will get a message that reads:
If not, it will read something like what I saw with some of my own previous files:
Ben's app will also display a "waterfall" image of the number, as well as some interesting statistic information about the number. I'm not going to go into it all here. Grab his file if you're interested.