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Johann Martin Zacharias Dase (June 23, 1824, Hamburg – September 11, 1861, Hamburg) was a German mental calculator. He attended schools in Hamburg from a very early age, but later admitted that his instruction had little influence on him. He used to spend a lot of time playing dominoes, and suggested that this played a significant role in developing his calculating skills. Dase had epilepsy from early childhood throughout his life. In 1844, Dase calculated π to 200 decimal places over the course of approximately two months, a record for the time, from the Machin-like formula:

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  • Zacharias Dase (ca)
  • Zacharias Dase (de)
  • Johann Zacharias Dase (es)
  • Zacharias Dase (it)
  • Zacharias Dase (fr)
  • Zacharias Dase (pt)
  • Zacharias Dase (sv)
  • Дазе, Иоганн Мартин (ru)
  • Zacharias Dase (en)
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  • Johann Martin Zacharias Dase (1824-1861) va ser un hàbil calculador mental alemany. (ca)
  • Johann Martin Zacharias Dase (* 23. Juni 1824 in Hamburg; † 11. September 1861 ebenda) war ein deutscher Schnellrechner und Rechenkünstler. Er war im 19. Jahrhundert so berühmt, dass zeitweise die Redewendung „nach Zacharias Dase“ synonym zu „nach Adam Riese“ gebräuchlich war. (de)
  • Johann Martin Zacharias Dase (23 de junio de 1824 - 11 de septiembre de 1861) fue un calculista mental y matemático alemán.​ (es)
  • Johann Martin Zacharias Dase est un calculateur prodige allemand, né le 23 juin 1824 à Hambourg et mort le 11 septembre 1861 à Hambourg. (fr)
  • Johann Martin Zacharias Dase (Amburgo, 23 giugno 1824 – Amburgo, 11 settembre 1861) è stato un matematico tedesco, noto come uno dei più grandi calcolatori prodigio della storia. (it)
  • Johann Martin Zacharias Dase, född den 23 juni 1824 i Hamburg, död där den 11 september 1861, var en tysk räknekonstnär. Redan vid 15 års ålder uppträdde Dase offentligt och väckte uppmärksamhet genom sin ovanliga förmåga att behärska vidlyftiga aritmetiska uppgifter. Dase beräknade och utgav åtskilliga nyttiga tabellverk, varibland märks en tabell över faktorerna till de första nio miljonerna heltal. Wikimedia Commons har media relaterad till Zacharias Dase. (sv)
  • Иоганн Мартин Захариас Дазе (нем. Johann Martin Zacharias Dase, 23 июня 1824, Гамбург — 11 сентября 1861, Гамбург) — немецкий ментальный калькулятор. (ru)
  • Johann Martin Zacharias Dase (June 23, 1824, Hamburg – September 11, 1861, Hamburg) was a German mental calculator. He attended schools in Hamburg from a very early age, but later admitted that his instruction had little influence on him. He used to spend a lot of time playing dominoes, and suggested that this played a significant role in developing his calculating skills. Dase had epilepsy from early childhood throughout his life. In 1844, Dase calculated π to 200 decimal places over the course of approximately two months, a record for the time, from the Machin-like formula: (en)
  • Johann Martin Zacharias Dase (Hamburgo, 23 de junho de 1824 – Hamburgo, 11 de setembro de 1861) foi um prodígio em cálculos alemão. Desde tenra idade frequentou a escola em Hamburgo, e mais tarde admitiu que sua instrução tinha pouca influência sobre si. Usou bastante de seu tempo jogando dominó, e sugeriu que isto teve um grande significado no desenvolvimento de suas faculdades calculadoras. Dase sofreu de epilepsia desdde a infância durante toda sua vida. Em 1844 Dase calculou π com 200 dígitos decimais durante aproximadamente dois meses, um recorde na época, usando a fórmula de Machin: (pt)
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  • Johann Martin Zacharias Dase (1824-1861) va ser un hàbil calculador mental alemany. (ca)
  • Johann Martin Zacharias Dase (* 23. Juni 1824 in Hamburg; † 11. September 1861 ebenda) war ein deutscher Schnellrechner und Rechenkünstler. Er war im 19. Jahrhundert so berühmt, dass zeitweise die Redewendung „nach Zacharias Dase“ synonym zu „nach Adam Riese“ gebräuchlich war. (de)
  • Johann Martin Zacharias Dase (23 de junio de 1824 - 11 de septiembre de 1861) fue un calculista mental y matemático alemán.​ (es)
  • Johann Martin Zacharias Dase est un calculateur prodige allemand, né le 23 juin 1824 à Hambourg et mort le 11 septembre 1861 à Hambourg. (fr)
  • Johann Martin Zacharias Dase (June 23, 1824, Hamburg – September 11, 1861, Hamburg) was a German mental calculator. He attended schools in Hamburg from a very early age, but later admitted that his instruction had little influence on him. He used to spend a lot of time playing dominoes, and suggested that this played a significant role in developing his calculating skills. Dase had epilepsy from early childhood throughout his life. At age 15 he began to travel extensively, giving exhibitions in Germany, Austria and England. Among his most impressive feats, he multiplied 79532853 × 93758479 in 54 seconds. He multiplied two 20-digit numbers in 6 minutes; two 40-digit numbers in 40 minutes; and two 100-digit numbers in 8 hours 45 minutes. The famous mathematician Carl Friedrich Gauss commented that someone skilled in calculation could have done the 100-digit calculation in about half that time with pencil and paper. These exhibitions however did not earn him enough money, so he tried to find other employments. In 1844 he obtained a position in the Railway Department of Vienna, but this didn't last long since in 1845 he was reported in Mannheim and in 1846 in Berlin. In 1844, Dase calculated π to 200 decimal places over the course of approximately two months, a record for the time, from the Machin-like formula: He also calculated a 7-digit logarithm table and extended a table of integer factorizations from 6,000,000 to 9,000,000. Dase had very little knowledge of mathematical theory. The mathematician Julius Petersen tried to teach him some of Euclid's theorems, but gave up the task once he realized that their comprehension was beyond Dase's capabilities.Gauss however was very impressed with his calculating skill, and he recommended that the Hamburg Academy of Sciences should allow Dase to do mathematical work on a full-time basis, but Dase died shortly thereafter. The book "Gödel, Escher, Bach" by Douglas Hofstadter mentions his calculating abilities. "... he also had an uncanny sense of quantity. That is, he could just 'tell', without counting, how many sheep were in a field, or words in a sentence, and so forth, up to about 30." (en)
  • Johann Martin Zacharias Dase (Amburgo, 23 giugno 1824 – Amburgo, 11 settembre 1861) è stato un matematico tedesco, noto come uno dei più grandi calcolatori prodigio della storia. (it)
  • Johann Martin Zacharias Dase, född den 23 juni 1824 i Hamburg, död där den 11 september 1861, var en tysk räknekonstnär. Redan vid 15 års ålder uppträdde Dase offentligt och väckte uppmärksamhet genom sin ovanliga förmåga att behärska vidlyftiga aritmetiska uppgifter. Dase beräknade och utgav åtskilliga nyttiga tabellverk, varibland märks en tabell över faktorerna till de första nio miljonerna heltal. Wikimedia Commons har media relaterad till Zacharias Dase. (sv)
  • Johann Martin Zacharias Dase (Hamburgo, 23 de junho de 1824 – Hamburgo, 11 de setembro de 1861) foi um prodígio em cálculos alemão. Desde tenra idade frequentou a escola em Hamburgo, e mais tarde admitiu que sua instrução tinha pouca influência sobre si. Usou bastante de seu tempo jogando dominó, e sugeriu que isto teve um grande significado no desenvolvimento de suas faculdades calculadoras. Dase sofreu de epilepsia desdde a infância durante toda sua vida. Com 15 anos de idade começou a viajar extensivamente, apresentando-se na Alemanha, Áustria e Inglaterra. Entre seus feitos mais impressionantes, operou 79532853 × 93758479 em 54 segundos. Multiplicou dois números de 20 dígitos em 6 minutos; dois números de 40 dígitos em 40 minutos; e dois números de 100 dígitos em 8 horas e 45 minutos. O matemático Carl Friedrich Gauss comentou que alguém qualificado poderia ter feito o cálculo de 100 dígitos em cerca de metade deste tempo com lápis e papel. Estes "espetáculos" não lhe rendiam dinheiro suficiente, o que o levou a procurar outras fontes de renda. Em 1844 trabalhou do Departamento Ferroviário de Viena, mas não permaneceu no cargo por muito tempo, pois em 1845 é relatado estar fixado em Mannheim e em 1846 em Berlim. Em 1844 Dase calculou π com 200 dígitos decimais durante aproximadamente dois meses, um recorde na época, usando a fórmula de Machin: Também calculou uma tabela de logaritmos com 7 dígitos e estendeu uma tabela de fatoração de inteiros de 7.000.000 a 10.000.000. Dase tinha poucos conhecimentos sobre a teoria matemática. O matemático Julius Petersen tentou ensinar-lhe alguns dos teoremas de Euclides, mas desistiu de seu intento ao constatar que sua compreensão estava além da capacidade de Dase.Gauss contudo ficou positivamente impressionado com sua capacidade de cálculo, recomendando à Academia de Ciências de Hamburgo admitir Dase realizar trabalho matemático em tempo integral, mas Dase morreu pouco tempo depois. O livro "Gödel, Escher, Bach" de Douglas Hofstadter menciona suas habilidades de calculador. "... he also had an uncanny sense of quantity. That is, he could just 'tell', without counting, how many sheep were in a field, or words in a sentence, and so forth, up to about 30." (pt)
  • Иоганн Мартин Захариас Дазе (нем. Johann Martin Zacharias Dase, 23 июня 1824, Гамбург — 11 сентября 1861, Гамбург) — немецкий ментальный калькулятор. (ru)
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