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" Hay un concepto que es el corruptor y el desatinador de los otros. No hablo del Mal cuyo limitado imperio es la ética; hablo del infinito. Yo anhelé compilar alguna vez su móvil historia. La numerosa Hidra (monstruo palustre que viene a ser una prefiguración o un emblema de las progresiones geométricas) daría conveniente horror a su pórtico; la coronarían las sórdidas pesadillas de Kafka y sus capítulos centrales no desconocerían las conjeturas de ese remoto cardenal alemán—Nicolás de Krebs, Nicolás de Cusa—que en la circunferencia vio un polígono de un número infinito de ángulos y dejó escrito que una línea infinita sería una recta, sería un triángulo, sería un círculo y sería una esfera (De docta ignorantia, I, 13). Cinco, siete años de aprendizaje metafísico, teológico, matemático me capacitarían (tal vez) para planear decorosamente ese libro. Inútil agregar que la vida me prohibe esa esperanza, y aún ese adverbio..."

Jorge Luis Borges en Avatares de la Tortuga.


7h
awarded  Good Answer
11h
revised Upper bounds for the sum of primes <= n
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1d
comment Upper bounds for the sum of primes <= n
mathoverflow.net/a/203744/1593
1d
answered Uniform upper bound for the sum over primes $\sum_{p \leq x} p^{-1+\varepsilon}$
2d
comment X^2 + 4 = y^5 is there any solution to this
Yes. Left-hand side is $2,4,5,7,8$ or $9$ mod $11$ whereas right-hand side is $0$, $1$ or $-1$ mod $11$ (it is $0$ when $11|y$, $1$ when $y^{5}$ is a quadratic residue mod $11$ and $-1$ when $y^{5}$ is a quadratic non-residue mod $11$).
2d
comment X^2 + 4 = y^5 is there any solution to this
Did you try looking at it modulo $11$?
2d
revised Fermat numbers and the infinitude of primes
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2d
revised Character sums: reference request
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2d
awarded  Notable Question
2d
revised Fermat numbers and the infinitude of primes
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2d
revised Fermat numbers and the infinitude of primes
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revised Fermat numbers and the infinitude of primes
added update, improved formatting
2d
revised Fermat numbers and the infinitude of primes
added update, improved formatting
Apr
10
comment Fermat numbers and the infinitude of primes
BREAKING NEWS: A. Hurwitz's list of exercises in Number Theory was actually published in 1993! A PDF copy of the transcription of this document can be found here: goo.gl/vVGJPW Guess what... In the part where Hurwitz writes about the coprimality of any two distinct Fermat numbers, there appears no attribution whatsoever to G. Pólya. Hence, it seems that Prof. Narkiewicz is off the mark in at least two respects in that paragraph of his "The development of Prime Number Theory".
Feb
18
awarded  Good Question
Feb
18
revised A question regarding a claim of V. I. Arnold
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Feb
17
revised Favorite popular math book
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Nov
8
awarded  Yearling
Oct
31
reviewed Edit Estimate for Levy metric
Oct
31
revised Estimate for Levy metric
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