A TrieIntField field can never contain a value greater then java's 
Integer.MAX_VALUE -- it doesn't matter what settings you use.

If you want to store larger values, you need to use a TrieLongField and 
re-index.

https://lucene.apache.org/solr/4_6_0/solr-core/org/apache/solr/schema/TrieIntField.html
https://lucene.apache.org/solr/4_6_0/solr-core/org/apache/solr/schema/TrieLongField.html

: Do I have to increase precisionStep=8? because an error occured when trying

precisionStep has nothing to do with the max/min values that can be 
indexed.  precisionStep controls the amount of precision used when 
encoding additional terms to speed up range queries...

https://lucene.apache.org/solr/4_6_0/solr-core/org/apache/solr/schema/TrieField.html
https://lucene.apache.org/core/4_6_0/core/org/apache/lucene/search/NumericRangeQuery.html?is-external=true


-Hoss
http://www.lucidworks.com/

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