The HP specs do not include the Wolfdale core that you have picked out on Newegg.
Supports the following processors:
Intel Core Duo E6x00 with Dual Core technology (Conroe core)
Pentium D 9x0 series Dual Core (Presler)
Pentium D 8xx series (Smithfield)
Pentium 4 6x1 series (Cedar Mill core)
Pentium 4 6xx series (Prescott core)
Pentium 4 5xx series (Prescott core)
Pentium 4 LGA-775 HT (Prescott core)
The fastest Prescott I could find is: http://www.newegg.com/Product/Product.aspx...6-099-_-Product
You may also want to check your amount of memory and your free space on your hard drive.
I will caution you that it is not guaranteed that your board will support every
5xx series Prescott core Pentium 4 processor. You may need to upgrade your bios on your motherboard before trying the installation of any other processor than what came with your HP computer.
Hope this helps,