Re: Surrogate factoring, top to bottom

The human species can rot and die before any of those people will lift
a finger to support any of my research as they rightly see it as an
issue of survival.

RSA Security has a long record of providing cash prizes for factoring
large composites.

http://www.rsa.com/rsalabs/node.asp?id=2093

There are prizes ranging from $30k for factoring a 704 bit number,
up to $200k for a 2048 bit number.

It's my guess that someone will successfully factor the 704 bit
number, using only crayons and paper and their brain, before JSH
manages to use surrogate factoring to factor 6.

Proposed algorithm for the crayon-and-paper method:

first_trial_divisor = floor(sqrt(i704_bit_number));
for (i = first_trial_divisor; ; i--) {
Try dividing i704_bit_number by i.
If it comes out without remainder, you've found a factor!
Otherwise, eat lunch, then try the next lower number.
}

.