In linux procps, the column labeled "PRI" in ps -l is -o opri. Examining output.c shows half a dozen different priority output types:
// "priority" (was -20..20, now -100..39)
// "intpri" and "opri" (was 39..79, now -40..99)
// "pri_foo" -- match up w/ nice values of sleeping processes (-120..19)
// "pri_bar" -- makes RT pri show as negative (-99..40)
// "pri_baz" -- the kernel's ->prio value, as of Linux 2.6.8 (1..140)
// "pri" (was 20..60, now 0..139)
// "pri_api" -- match up w/ RT API (-40..99)
Show all of them with:
ps -o pid,priority,opri,pri_foo,pri_bar,pri_baz,pri,pri_api,comm
PID PRI PRI FOO BAR BAZ PRI API COMMAND
2201 20 80 0 21 120 19 -21 zsh
2762 30 90 10 31 130 9 -31 cat
2826 20 80 0 21 120 19 -21 ps
(cat is nice cat /dev/zero > /dev/null)
The -o pri value is not suitable for the UNIX standard's "PRI" column, since higher numbers must mean lower priority, so it is not used. I believe these two columns are copied from solaris. The -o pri column is used internally for the "PRI" column of ps -lc.