You are using SQL Server Business Intelligence Development Studio to deploy a report project to a SQL Server Reporting Server in SharePoint Integrated Mode
You are attempting to use the SharePoint Server address with "/reportserver/" or the Report Library address.
Note: BIDS asks for this format which may not work: "http://<servername>/reportserver"
Issue
You repeatedly receive "Reporting Services Login" authentication prompts when attempting to deploy and eventually fail to deploy
Resolution
Use "http://servername/" or "/_layouts/ReportServer" in the TargetServerURL path in the project properties
Ex: "http://intranet.company.com/" or "http://intranet.company.com/_layouts/ReportServer"
If you use the server name, make sure to include the trailing forward slash
Use the Report Library/Folder location in the Target*****Folder settings
Note: You can use folder paths if your library contains folders.
Ex: ".../Reports/Folder1/Folder2"
Here's an example of the settings (Right Click the project and select properties)
Motivation:
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