I wanted to mention that the Pentium 4 (Prescott) that was marketed as the Centrino in laptops had 64bit capabilities, but it was described as 32bit extended mode. I remember buying a laptop in 2005(?) which I first ran with XP 32bit, and then downloading the wrong Ubuntu 64bit Dapper Drake image, and the 64bit kernel was running...and being super confused about it.

Also, for a long while, Intel rebranded the Pentium 4 as Intel Atom, which then usually got an iGPU on top with being a bit higher in clock rates. No idea if this is still the case (post Haswell changes) but I was astonished to buy a CPU 10 years later to have the same kind of oldskool cores in it, just with some modifications, and actually with worse L3 cache than the Centrino variants.

core2duo and core2quad were peak coreboot hacking for me, because at the time the intel ucode blob was still fairly simple and didn't contain all the quirks and errata fixes that more modern cpu generations have.

Centrino was Intel's brand for their wireless networking and laptops that had their wireless chipsets, the CPUs of which were all P6-derived (Pentium M, Core Duo).

Possibly you meant Celeron?

Also the Pentium 4 uarch (Netburst) is nothing like any of the Atoms (big for the time out-of-order core vs. a small in-order core).

Pentium 4 was never marketed as Centrino - that came in with the Pentium M, which was very definitely not 64-bit capable (and didn't even officially have PAE support to begin with). Atom was its own microarchitecture aimed at low power use cases, which Pentium 4 was definitely not.

In 2005 you could already buy Intel processors with AMD64. It just wasn't called AMD64 or Intel64; it was called EM64T. During that era running 64-bit Windows was rare but running 64-bit Linux was pretty commonplace, at least amongst my circle of friends. Some Linux distributions even had an installer that told the user they were about to install 32-bit Linux on a computer capable of running 64-bit Linux (perhaps YaST?).

Speaking of marketing, that era of Intel was very weird for consumers. In the 1990s, they had iconic ads and words like Pentium or MMX became powerful branding for Intel. In the 2000s I think it got very confused. Centrino? Ultrabook? Atom? Then for some time there was Core. But it became hard to know what to care about and what was bizarre corporate speak. That was a failure of marketing. But maybe it was also an indication of a cultural problem at Intel.

Are you referring to PAE? [1]

[1] https://en.wikipedia.org/wiki/Physical_Address_Extension