Windows 10: WINDOWS 11 Upgrade - unsupported Intel CPU i5 7500

HiI have an HP EliteOne 800 desktop with an Intel i5 7500 CPU.Windows upgrade app says the CPU fitted is incompatible with W11.I have started looking at changing the CPU to say an i7 - one that will accommodate W11 BUT I became lost very quickly!!My mother board is type HP 829B KBC v06.29.My question - can any one who knows the detail suggest an i5 or an i7 CPU that is compatible with the MB stated on a budget of around £250 if that is possible. I would like a very latest Intel CPU as possible and the desktop is not used for gaming or complex processing.Many thanks for your advice and help in

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Upgrading from i5-7500 to i7-7700

I have an ASUS Prime Z270M-Plus motherboard with an Intel i5-7500 Processor and 16GB DDR-4 RAM, I would like to upgrade to an Intel i7700 Processor. Will there be any necessity to rebuild my hard drive or will the system automatically adjust for the new
CPU in the same way it does for additional memory?

 

Unsupported Hardware

This reply is not helpful. My computer was built for me. It has 32 gig ram, 64 bit operating system, and an Intel Core i5-7500 CPU. I have windows 7 and have a constant "unsupported hardware" message that I want gone. How can I get rid of it?

 

I thought my computer has unsupported CPU for Windows 11 installation?

Update: I went to https://docs.microsoft.com/en-us/windows-hardware/design/minimum/supported/windows-11-supported-intel-processors
And there's no Intel Core i5-4590 and i don't think my computer doesn't run Windows 11