George wrote:
>There are several GIMPSers that are against any monetary awards.
>People should search for primes for love of math not the love of
>money.
That would be me. But I don't like the money because I think it
opens a can of worms. ('can of worms' -- what do you say in
Russian or Japanese or Flemish?) I happen to like money (you
can buy beer with it and cover green fees).
Primenet is a lot more powerful than just managing exponents
for GIMPS. And e-cash is in the near future. Eventually,
PrimeNet should be able to move small (and large) amounts
of money around the world with ease.
We want to encourge:
[a] factoring
[b] double checking
[c] orderly progression of first LL (discourage jumping to the
decamega range)
[d] Cunningham factoring
[e] algorithm improvements !!!
[f] ?
There's an idiom in English "Do not count your chickens before
they hatch". But let's assume that GIMPS is someday awarded the
US$100,ooo. So let's put that money in the PrimeNet bank account
and start distributing it.
For every factor [a], credit $A, for residue [b] credit $B and
residue [c] credit $C. If a residue is later shown to be incorrect,
then debit the $B or $C (discourage reckless overclocking). I don't
know if PrimeNet should handle [d].
Note that $C is awarded regardless of the size of Mp, so checking
orderly checking of smaller p is encouraged. On the other hand,
it will be years before GIMPS reaches the decamega range and unknown
'others' may be looking before us.
"Trivial" factors for "large" p should be excluded from consideration.
PrimeNet can 'redirect' each account's earnings to a charity or
fund.
We really do need a formula for [e]. Set aside $25,000 and each
x% improvement in GIMPS throughput wins x% of the $25,000? (what
do we do if there are multiple improvements?)
Award $10,ooo for each new Mp, regardless of size. Suppose M(7777777)
is prime. The finder is credited $10,ooo (to be awarded when GIMPS
finds a decamega prime). The decamega finder also gets $10,ooo.
Is $10,ooo about right? I've lived in different countries, and I
lived around the USA. In Silicon Valley, $10K will barely pay 6 months
rent, but in Leblon I could live quite nicely (qual e', malandro? :-)
For the near future, $10,ooo should cover the cost of a *nice* PC,
with money to spare.
I Scott, but nothing about his finances. If PrimeNet is 'brokering',
should PrimeNet get a 'brokerage fee'? Some percentage? Maybe it
could be voluntary. Maybe *I* could send half of my earnings to a
Balkan orphanage and half back to PrimeNet itself to help defray
Scott's expenses. *You* could send all of your earnings to UNESCO.
One of you smart guys can figure out reasonable values for A, B, and C.
I suppose it will boil down to paying per P90-year.
Another thought..... we cannot allow people to started hoarding
their residues in hopes of being paid tomorrow for today's computations.
Perhaps this should be made retro-active --- pick a date -- retro-
active to the date/time when Nayan's machine reported M38?
--Luke, who knows that 7777777 is composite
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