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Hermann-SW/M500000500001.gp

Created December 23, 2024 14:24
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PARI/GP proof that Mersenne exponent 500000500001 does not give Mersenne prime (291.0g resident memory needed)
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M500000500001.gp
m=2^500000500001-1;
##
d=2 * 1663403835355 * 500000500001 + 1;
##
m%d
##
#binary(d)
##
@Hermann-SW
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Script above is useless, can be computed in 3ms on slow Raspberry computer with not much RAM:

pi@raspberrypi5:~ $ gp -q
?
? d=2 * 1663403835355 * 500000500001 + 1;
? Mod(2,d)^500000500001 - 1
Mod(0, 1663405498762162162670711)
? ##
  ***   last result: cpu time 0 ms, real time 3 ms.
?

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