for __ in $$; do 

        perl -Mbignum -le  'print    7 ** 127  %    524287 '

        perl -Mbignum -le  'print ( 7 ** 127 ) % ( 524287 )' 

        echo ' ( 7 ^ 127 ) % 524287 ' | bc 

done | gcat -b


     1    102010

     2    212545092456801670844330383105896224333193816736399849985499
+757869483902203328714236393937418376186556719543

     3    102010

[download]
How come adding parenthesis screws up the calculation here ? The middle one simply outputted 7 ** 127 without modulating it down

The equation being tested is Mersenne Primes 

    ( M3 ** M7 ) mod M19
Thanks. 
perl -V
Summary of my perl5 (revision 5 version 36 subversion 1) configuration
+:
   
  Platform:
    osname=darwin
    osvers=22.4.0
    archname=darwin-thread-multi-2level
    uname='darwin ventura-arm64.local 22.4.0 darwin kernel version 22.
+4.0: mon mar 6 20:55:35 pst 2023; root:xnu-8796.101.5~3release_arm64_
+vmapple arm64 '

[download]

In reply to bignum and parenthesis by Anonymous Monk

Title:
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