In order to make the other mathematicians to pay their attention at
these theorems , our group has decided to give a
certain prize to the first one (and only the first
one) who is able to disprove any of them . This prize is
999.00 $ (Nine Hundred And Ninety Nine U.S. Dollars) .
Although every theorem is accompanied with a Mathematica program ,
we know that , it is very difficult to believe at some of them ,
since they are involving irrational OR
transcendent numbers in NUMBERS THEORY . If any of the mathematicians oppose to
any one of them , we strongly encourage
to do this NOW. Before doing such an
attempt (he or she) should better construct
original programs at some other language or mathematica .
In constructing original programs , please keep in mind that
some of the theorems are accuracy sensitive ; that is, you should
give enough accuracy in your computations to reach correct results (Such theorems are stated in their mathematica programs
test sheets).
The prize will be give under the following terms or premises:
2- Minor computation and printing mistakes are not counted .
3- The occurrance of Carmichael
numbers are not counted as a disproval
. since
nobody yet knows the smallest
Carmichael number or if there exist any Carmichael
number in these strange systems at
all.
4- The presence of mistakes due to the inadequacy
of your computer is not either
counted . You should use
suitable computers to give enough accuracy
for big
numbers or
primes .
5- The detection
of the presence of any of the
theorems in other literatures
WILL NOT be
counted as an eligibility to
obtain any prize , since
at the
beginning
of front page we have stated
that we don't know any
information
relating the
presence of these theorems in
any other book or literature. In
case of such
cross presence please inform us
by any means . so that we
can WITHDRAW the cross existing name and the
theorem .
The one who forwards the first disproove should publish it publicly in a web page, web site or appropriate listserv . The disproove will be discussed by the whole mathematical community and if found correct , one has to wait till these theorems are published in the periodical.Then we'll pay him or her the sum.