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Old 2023-05-24, 13:01   #1277
charybdis
 
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Apr 2020

22·3·5·17 Posts
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Quote:
Originally Posted by kriesel View Post
ICYMI, the jokes are:
1) misplaced pedantry
2) large scale of first task set for the reader
3) use of the cliche phrase "left as an exercise to the reader"
4) extra credit task is Sisyphean at best, with each "boulder" (large Mersenne number) a bit larger than the one before
"Humor can be dissected, as a frog can, but the thing dies in the process and the innards are discouraging to any but the purely scientific mind." -- E.B. White and Katharine S. White (often misattributed to Mark Twain)

this is of limited relevance here: describing the quoted post as humor is a stretch

Last fiddled with by charybdis on 2023-05-24 at 13:08
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Old 2023-05-25, 02:32   #1278
MPrimeFinder
 
"Anonymous"
Sep 2022
finding m52

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Quote:
Originally Posted by kriesel View Post
M52 is composite; trivially, since no composite exponent produces a mersenne prime; or empirically, via https://www.alpertron.com.ar/ECM.HTM:
2^52-1 = 4503 599627 370495 = 3 × 5 × 53 × 157 × 1613 × 2731 × 8191

Showing Mp#52 = 2^x-1 is prime, for prime x > 82589933, is left as an exercise to the reader. (Note, requires showing no Mp have been missed below Mp#51*)
For extra credit, find all the Mersenne primes.

ICYMI, the jokes are:
1) misplaced pedantry
2) large scale of first task set for the reader
3) use of the cliche phrase "left as an exercise to the reader"
4) extra credit task is Sisyphean at best, with each "boulder" (large Mersenne number) a bit larger than the one before
m52 = 52nd mersenne prime
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Old 2023-05-25, 05:22   #1279
kriesel
 
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"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

11110000110002 Posts
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Quote:
Originally Posted by MPrimeFinder View Post
m52 = 52nd mersenne prime
See the relevant portion of https://www.mersenneforum.org/showpo...67&postcount=4 and https://en.wikipedia.org/wiki/Mersenne_prime.
And analogously, F33 is not the 33rd Fermat prime, it's 2^2^33 +1.
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