Geodesic
Arithmetic properties of Euler series
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 59-61

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The paper presents a lower bound valid for infinitely many primes $p$ of the $p$-adic valuation of the number $E_p = \sum_{n=1}^\infty n!\in\mathbb{Q}_p$ which is an Euler-type series. 
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     author = {V. G. Chirskii},
     title = {Arithmetic properties of {Euler} series},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a10/}
}
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V. G. Chirskii. Arithmetic properties of Euler series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 59-61. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a10/