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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