It will be N4P or N5P, all of which are just extensions or ehancements of N5. N4, for what it's worth, is unlikely to be tangibly superior off the bat to N5 (and certainly not N5P) on power and frequency characteristics, for reasons I'll get to below.
I've seen the wishcasting caucus suggesting MediaTek's Dimensity 9000 SoC (on N4) has a process node advantage to the A15 (on N5P), for the most part this simply isn't the case any reasonable reading of TSMC's own documentation. N4 and the associated processes are an extension of N5 with similar design rules and N4 itself claims "possibly enhanced power via BEOL enhancement" and a 6% density improvement over N5, but 0 real power figures inherent to the transistors are disclosed compared to N5.
On the other hand, where N5P is concerned relative to N5: N5P is stated to generally exhibit a 7-10% frequency @ iso-power gain on N5, and a 15% power @ iso-performance gain on N5 (and plausibly more for Apple since they pushed the A15 so hard - e.g. at 2.7-3GHz on Avalanche, I imagine the A15's N5P really shines on power efficiency).
So N4 would likely prove to be a process downgrade from the A15's (likely) N5P process. No way it's N4, and then on top of that, Apple actually still have a process lead on MediaTek's Dimensity 9000 and/Or Qualcomm's Snapdragon 8 Gen 1+, which is said to be fabricated on N4. And N4P's characteristics? A good 6%+ frequency boost @ iso-power upon *N5P*. (Update: the figures are actually mixed on this note, but either way I'm confident N4P and N5P are probably superior to N4 on immediate power and frequency characteristics)
By the time the A16 comes out with N4P this fall — comparing it to said Qualcomm Snapdragon 8 Gen 1+ (plus variant on TSMC N4) or the Dimensity 9000 (N4) will by extension be incorporating a good *two* "enhanced" nodes (since even N5P is superior to N4) into the Apple performance figures which is going to be wildly annoying since everyone will miss that N4P is a successor to N5P which was already superior to N4, but whatever.
Hsinchu, Taiwan, R.O.C., Oct. 26, 2021 - TSMC (TWSE: 2330, NYSE: TSM) today introduced its N4P process, a performance-focused enhancement of the 5-nanometer technology platform.
pr.tsmc.com