Geodesic
A variant of the Euclid-Mullin sequence containing every prime
Journal of integer sequences, Tome 19 (2016) no. 6
We consider a generalization of Euclid's proof of the infinitude of primes and show that it leads to variants of the Euclid-Mullin sequence that provably contain every prime number.
Classification : 11A41, 11B83
Keywords: prime number, euclid-Mullin sequence 
@article{JIS_2016__19_6_a7,
     author = {Booker,  Andrew R.},
     title = {A variant of the {Euclid-Mullin} sequence containing every prime},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {6},
     zbl = {1357.11008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_6_a7/}
}
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Booker,  Andrew R. A variant of the Euclid-Mullin sequence containing every prime. Journal of integer sequences, Tome 19 (2016) no. 6. http://geodesic.mathdoc.fr/item/JIS_2016__19_6_a7/