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Old 2011-01-17, 16:16   #1
kurtulmehtap
 
Sep 2009

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Default Sum of prime divisors for Mersenne Numbers?

I've seen some papers on the sum of prime divisors of any Number.
Are there any papers on sum of prime divisors of Mersenne Numbers?
At least we know that the Sum is equal to
k2q + z where z is the number of prime factors. Do we know anything else?
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Old 2011-01-17, 19:29   #2
R.D. Silverman
 
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Quote:
Originally Posted by kurtulmehtap View Post
I've seen some papers on the sum of prime divisors of any Number.
Are there any papers on sum of prime divisors of Mersenne Numbers?
At least we know that the Sum is equal to
k2q + z where z is the number of prime factors. Do we know anything else?
Not AFAIK.
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Old 2011-01-19, 14:59   #3
davar55
 
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I did post some puzzles involving sums of Mersenne Prime Exponents
(MPEs) that were worked on by this forum. You might look for those
threads in the Puzzle sub-forum.
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Old 2011-01-19, 18:48   #4
science_man_88
 
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Quote:
Originally Posted by davar55 View Post
I did post some puzzles involving sums of Mersenne Prime Exponents
(MPEs) that were worked on by this forum. You might look for those
threads in the Puzzle sub-forum.
I don't know if that's relevant at this time davar55. The thread here is about sums of the numbers themselves not exponents and not just for primes according to the title. But if you want I'll look for them as I've actually thought about this myself I even had a script in PARI to do some work.
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