Welcome to JA and thanks for asking
Neutrophilia or high neutrophil count in the blood can have various reasons.
Commonly encountered causes are bacterial infections,certain inflammatory conditions,burns,some blood disorders,use of certain drugs,smoking,certain hematological malignancies and metabolic derangement. Now if you have a persistently high neutrophil count and you do not have any other symptoms and your peripheral blood film is also normal then it is not something to worry about. Sometime no cause for a high neutrophil count is found in which case it is called as chronic idiopathic neutrophilia. My advise would be to see your doctor for an examination to assess if you require any further investigation for the cause of high neutrophil count. If you don,t have any other symptom to suggest a reason for this than you have chronic idiopathic neutrophilia which is a benign condition and you need not to worry about it. Smoking is an important cause in otherwise healthy individuals
Here is a write up about this condition
Feel free to ask if you have any more question
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Ok now this significant if you have a high platelet count as well.A condition called primary polycythemia also leads to a high neutrophils and platelets.Essential thrombocytosis is another such condition
A normal peripheral blood film rules out leukemia in most of the cases but in some cases bone marrow is required. I would suggest to have an opinion from hematologist about this and then to go for further testing accordingly