Editing Mathematical proof (section)

===Statistical proofs in pure mathematics===
{{Main| Statistical proof}}
The expression "statistical proof" may be used technically or colloquially in areas of [[pure mathematics]], such as involving [[cryptography]], [[chaotic series]], and [[probabilistic|probabilistic number theory]] or [[analytic number theory]].<ref>"in number theory and commutative algebra... in particular the statistical proof of the lemma." [https://www.jstor.org/pss/2686395]</ref><ref>"Whether constant π (i.e., pi) is normal is a confusing problem without any strict theoretical demonstration except for some ''statistical'' proof"" (Derogatory use.)[https://doi.org/10.1007%2F978-3-540-74282-1_78]</ref><ref>"these observations suggest a statistical proof of Goldbach's conjecture with very quickly vanishing probability of failure for large E" [http://people.web.psi.ch/gassmann/eneseminare/abstracts/Goldbach1.pdf]</ref> It is less commonly used to refer to a mathematical proof in the branch of mathematics known as [[mathematical statistics]].  See also the "[[#Colloquial use, Statistical proof using data|Statistical proof using data]]" section below.