Boa tarde!
Consegui resolver esse tempo ocioso na minha Hp Prime hoje através deste site https://www.cemetech.net nele tem um jeito que funcionou. Você liga a calculadora na usb no computador abre o programa hp Connectivity kit e no menu dela Programas clique com o botão direito e crie um com o nome AutOff nesse momento abrirá um arquivo para inserir a programação ai é só colar o seguinte código:
EXPORT AutoOff()
// Program to read and change the
// auto-shut-off (minutes of inactivity)
//time value (in minutes) of your HP Prime
//NOTE: The factory default setting is 5 minutes
//NOTE2: This doesn't affect the plugged into
// USB never shut off state.
//This program works with version 2014 12 3 Rev 6975
//NOTE: I don't know if it works with earlier versions
//Written by Anthony Abrami (28 Apr 2015)
BEGIN
LOCAL OffMin, OldOffMin, InfoStr, A;
OldOffMin:=(TOff/(60*1000));
OffMin:=5; //pre-select calculator default setting for CHOOSE command
CHOOSE(OffMin,"Set auto-off from "+OldOffMin+" min to:",{"1 minute","2 minutes","3 minutes","4 minutes","5 minutes (HP Prime default)","6 minutes","7 minutes","8 minutes","9 minutes","10 minutes","15 minutes","20 minutes","30 minutes"});
InfoStr:= "Inactivity shutoff set from " + OldOffMin;
CASE
If OffMin==1 then TOff():=#EA60h; InfoStr := InfoStr + " to 1 min"; END
If OffMin==2 then TOff():=#1D4C0h; InfoStr := InfoStr + " to 2 min"; END
If OffMin==3 then TOff():=#2BF20h; InfoStr := InfoStr + " to 3 min"; END
If OffMin==4 then TOff():=#3A980h; InfoStr := InfoStr + " to 4 min"; END
If OffMin==5 then TOff():=#493E0h; InfoStr := InfoStr + " to 5 min"; END
If OffMin==6 then TOff():=#57E40h; InfoStr := InfoStr + " to 6 min"; END
If OffMin==7 then TOff():=#668A0h; InfoStr := InfoStr + " to 7 min"; END
If OffMin==8 then TOff():=#75300h; InfoStr := InfoStr + " to 8 min"; END
If OffMin==9 then TOff():=#83D60h; InfoStr := InfoStr + " to 9 min"; END
If OffMin==10 then TOff():=#927C0h; InfoStr := InfoStr + " to 10 min"; END
If OffMin==11 then TOff():=#DBBA0h; InfoStr := InfoStr + " to 15 min"; END
If OffMin==12 then TOff():=#124F80h; InfoStr := InfoStr + " to 20 min"; END
If OffMin==13 then TOff():=#1B7740h; InfoStr := InfoStr + " to 30 min"; END
END;
//check if ESC key was pressed
If OffMin == 0
then RETURN "Inactivity shutoff left at " + OldOffMin + " min"; //yes
else return InfoStr; //no
END;
END;