Goldbach is most noted for his correspondence with Leibniz, Euler, and Bernoulli, especially in his 1742 letter to Euler stating his Goldbach's conjecture.
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After finishing his studies he went on long educational voyages from 1710 to 1724 through Europe, visiting other German states, England, Holland, Italy, and France, meeting with many famous mathematicians, such as Gottfried Leibniz, Leonhard Euler, and Nicholas I Bernoulli.
Achilles and the Tortoise are trying to remember the name of an amateur mathematician, Achilles (incorrectly) suggests "Kupfergödel" and "Silberescher", then Mr Tortoise recalls Goldbach". Half-translated from German, these names are "copper Gödel", "silver Escher" and "gold Bach", respectively.
The problem of extending the factorial to non-integer arguments was apparently first considered by Daniel Bernoulli and Christian Goldbach in the 1720s, and was solved at the end of the same decade by Leonhard Euler.
At this time, German mathematician Christian Goldbach was appointed tutor to the young Peter II to take over for the one appointed by Menshikov.
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Before the 20th century, definitions of primality were inconsistent, and significant mathematicians such as Goldbach, Lambert, Legendre, Cayley, and Kronecker wrote that 1 was prime.