> Date: Sun, 15 Jun 2008 08:57:37 -0700 (PDT)
(Sorry not to respond promptly, but I wasn't doing anything with
primes for several months, until just the past few days.)
> From: JSH <jst...@[EMAIL PROTECTED]
>
> ... the simplest way to consider what my factoring research does
> is that while mathematicians have traditionally focused on one type
> of congruence I use two:
> 1. x^2 = y^2 mod S
> 2. z^2 = y^2 mod T
> where T is your target composite and S is what I call the surrogate,
> and the concept I call surrogate factoring.
So, like, have you achieved any success with this line of research
after the several years you've spent on it already? For example,
can you factor this number (given in base 36)?
JSHBHIH
It has exactly two prime factors. Can you find them using your method?
If you can, please post the two primes (base 36 or base 10
notation, doesn't matter to me, I can convert easily enough), after
of course multiplying them together to verify they really do
produce the number I asked you to factor. Then briefly explain how
your method achieved that factorization.
On the other hand, if your method can't factor such a small number,
why not, what's wrong with your method??
If you succeeded above, and you have some more time to demonstrate
your skill at using your "surrogate" method to factor numbers,
please also factor these numbers (again, each shown in base 36,
each a product of exactly two primes):
JSHKI22N
JSHRHLKCV
JSHM51GT0P
JSHZ9P0JRYZ
JSHAT5JGKZGZ
JSH5XF0E7WADT
JSHPJER3Z9UAYJ
JSHZS51NLM43RXV
JSHESO6WMQOG0WA1
JSHWZCLBOK5O1MJJT
JSHRGD26IKMPWMZ70P
JSHY5KTQB3SSCYTMFIP
JSHR7Y281PWTUZOPVR3D
JSHSRVJWDUHYPGO2SVEEJ
JSHZ92IZES503YAVCOMW4J
By the way, if any high school students are watching this thread,
here are some numbers that are trivial to factor (base 36 again):
JSH4966P
JSHEVRF41
JSH100TDVD
JSHP9PBIJE1
JSHYEPF7NEO1
JSH0CSPHXAKG1
JSHD9IMJPY0XG1
JSH3V44ZWWB6Q01
JSHHC6UIH35FGCLD
JSHHJQ9AL55CU5S8P
JSHZDV3KIH9P1LN1AP
JSH3W7OIKOP31C9LA5D
JSHZBPH5XROWDXCYW6A1
JSHXI879BQ73RRT9JU8BD
JSHQN3ZD2YB2E5XD8K40K1
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