amicable, perfect, etc. numbers

[mfgoode]

Originally Posted by R.D. Silverman

Allow me to point out that substantial computation has already been done.
Check section B4 of Richard Guy's "Unsolved Problems in Number Theory".
He gives a summary of what is known as well as extensive references.

Anyone who wants to work in computational number theory should have
a copy of this book. I would also recommend owing a copy of Knuth Vol 2.,
H. Cohens book "A Course in Computational Algebraic Number Theory",
Crandall & Pomerance's "Prime Numbers: A computational Perspective",
and either Reisel's or Bressoud's books on Factoring .

I'll pick up the tab from you Bob.
I have TAOCP by Knuth Vol2 and 'Contemporary Abstract Algebra' By Joseph A. Gallian both of which I recently bought. Also a 3 vol. work by Georges Ifrah on the 'History of Numbers' as a side line.
The book by Richard Guy was too expensive so I settled for 'Solved and Unsolved problems in Number Theory' by Shanks which is in the pipe line. I hope I have made a right choice in selecting these.
Of course now I have to get down and study them
Mally

[ET_]

Originally Posted by mfgoode

I'll pick up the tab from you Bob.
I have TAOCP by Knuth Vol2 and 'Contemporary Abstract Algebra' By Joseph A. Gallian both of which I recently bought. Also a 3 vol. work by Georges Ifrah on the 'History of Numbers' as a side line.
The book by Richard Guy was too expensive so I settled for 'Solved and Unsolved problems in Number Theory' by Shanks which is in the pipe line. I hope I have made a right choice in selecting these.
Of course now I have to get down and study them
Mally

And I have Crandall&Pomerance and Riesel books.
Would you like to make a distributed attack to the record together?

Luigi

[mfgoode]

Originally Posted by jasong

I am wondering if anybody would like to write a program to help discover what I like to call "Numerology" numbers. Numbers which may or may not be useful today, but had religious significance(I think) many, many years ago......

Would anyone like to try?

IMOH I would say that you are endeavouring to go up a road very well travelled by others. There are now Giants in this field already.
If you start with humble polygonal numbers there are over 100 numbers that fit the bill. If you want to make a break try some unusual sequences with outstanding properties which you could register in your name.
Numerology is an occult term starting with Pythagoras and is more mystical than mathematical.
Here the Sky is the limit!
As a start try fathoming out the well known mumber of the Beast-666- given in Revealtion13:18
"here is Wisdom. Reckon the number of the Beast which is the number of a man and his number is six hundred and three score and six"
Best of luck jasong.
Mally
Note: Easy reading: 'Mind Tools' by Rudy Rucker.

[mfgoode]

Originally Posted by ET_

And I have Crandall&Pomerance and Riesel books.
Would you like to make a distributed attack to the record together?

Luigi

Thanks Luigi. I think I have bitten more than I can chew.
For the time being I have to catch up with you and I hope to do it in a short time
Mally