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More about 1729 (Posted on 2012-01-04) Difficulty: 3 of 5
Much was said about 1729 a.k.a. Ramanujan number.or a taxicab number.
1729 is also a Carmichael number and the first absolute Euler pseudoprime, a sphenic number, a Zeisel number etc etc

  Please note the following (and solve):
  1. 1729 is one of four positive integers (with the others being A, B and the trivial case 1) which, when its digits are added together, produces a sum which, when multiplied by its reversal, yields the original number:
1 + 7 + 2 + 9 = 19 ; 19*91 = 1729
Find A and B.

2. 1729= xyz, where x,y and z are integer members of an arithmetic progression.
Find these members.

3. 1729 can be expressed (in more than one way) as a sum of distinct Fibonacci numbers
List all the expressions.
 

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncorrect a typoAdy TZIDON2017-06-21 09:48:38
Some Thoughtsre 2.broll2012-01-05 02:16:11
SolutionAnswersMath Man2012-01-04 21:52:14
re(3): computer solutionCharlie2012-01-04 15:03:09
re(2): computer solutionDaniel2012-01-04 14:31:42
re: computer solutionJer2012-01-04 13:43:55
Solutioncomputer solutionCharlie2012-01-04 13:09:53
SolutionsJer2012-01-04 11:27:31
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