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Dear Prime community,
please be aware of the following:
2^2-1 = 3 (Mersenne prime)
2^3-1 = 7 (Mersenne prime)
2^7-1 = 127 (Mersenne prime)
2^127-1 = ca. 2.3E+18 (Mersenne
prime)
2^ca. 2.3E+18 -1 =
probably a further Mersenne prime
My hypothesis: Starting with one-digit primes, you
can use a Mersenne prime as Mersenne exponent to yield a further Mersenne
prime.
Because today we cannot proove the primarity of
2^ca. 2.3E+18 -1 let me suggest to investigate 2^31-1 as a Mersenne
exponent:
2^5-1 = 31 (Mersenne prime)
2^31-1 = 2 147 483 647 (Mersenne
prime)
2^2147483647-1 = Next Mersenne prime ?
Using a single PC it would take me about 600 years
to check this. Using the GIMPS project it should be feasible.
What do you think about that?
Best regards, Dr. Roland Linder
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