|
The first known type amicable pair
Author(s):
Mariano
Garcia.
Journal:
Math. Comp.
72
(2003),
939-940.
MSC (2000):
Primary 11A25
Posted:
May 15, 2002
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
Amicable pairs of type have been the object of special search partly because they breed other amicable pairs. Examples exist for and 6. In this paper we exhibit the first known type pair.
References:
-
- 1.
- W. Borho and H. Hoffmann, Breeding amicable numbers in abundance, Math. Comp. 46 (1986), 281-293. MR 87c:11003
- 2.
- P. Costello, Amicable pairs of the form
, Math. Comp. 56 (1991), 859-865. MR 91k:11009 - 3.
- E. B. Escott, Amicable numbers, Scripta Math. 12 (1946), 61-72. MR 8:135a
- 4.
- L. Euler, De numeris amicabilibus, Opuscula varii argumenti (1750), 23-107.
- 5.
- E. J. Lee and J. S. Madachy, The history and discovery of amicable numbers, J. Recr. Math. 5 (1972), Part 1, 77-93, Part 2, 153-173, Part 3, 231-249. MR 56:5165a; MR 56:5165b; MR 56:5165c; errata MR 56:5165d; errata MR 56:5165e
- 6.
- H. J. J. te Riele, On generating new amicable pairs from given amicable pairs, Math. Comp. 42 (1984), 219-223. MR 85d:11107
- 7.
- J. Pedersen, Various amicable pair lists and statistics, http://www.vejlehs.dk/staff/ jmp/aliquot/apstat.htm.
Similar Articles:
Retrieve articles in Mathematics of Computation
with MSC
(2000):
11A25
Retrieve articles in all Journals with MSC
(2000):
11A25
Additional Information:
Mariano
Garcia
Affiliation:
Department of Mathematics, Touro College, 27 West 23rd Street, New York, New York 10010
DOI:
10.1090/S0025-5718-02-01450-3
PII:
S 0025-5718(02)01450-3
Keywords:
Amicable pairs
Received by editor(s):
May 21, 2001
Posted:
May 15, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
|