what are the max eigrp routes that ASA 5520, 5540, 5580?
Great question but I think there's no official number.
Number of routes is dependent of memory and config size.
Do you have a concern about some sort of number being reached?
yes currently we have 13,000 routes (Internet 2 sites) and they are talking about supporting I1 routes down the road so it would be a total of 176,000 routes.
at what point on the asa processor and memory would I start to get concerned?
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