Palindromic Primes: Find A from 1000-2000

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Discussion Overview

The discussion revolves around finding a palindromic number A that is the product of two palindromic primes B and C, with specific constraints on their values. The range for A is between 1000 and 2000, with B being a two-digit number and C a three-digit number.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant presents the problem of finding A as a product of B and C, specifying that A must be a palindrome and that B and C are both palindromic primes.
  • Another participant questions the premise by stating that if A is the product of B and C, it cannot be prime, but later clarifies that A is a palindrome and not a prime number.

Areas of Agreement / Disagreement

Participants have not reached a consensus, as there is a misunderstanding regarding the nature of A being prime versus palindromic.

Contextual Notes

The discussion does not clarify the definitions of palindromic primes or the methodology for identifying palindromic numbers within the specified range.

Albert1
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given : A=B$\times $C
with the following characters
(1) A,B,C $\in N$
(2)A is a palindrome
(3)B and C are all palindromic primes
(4) 1000<A<2000
(5) B is a 2-digit number
(6) C is a 3-digit number
find A
 
Last edited:
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Albert:

[sp]If A is the product of B and C how can A be prime?[/sp]
 
greg1313 said:
Albert:

[sp]If A is the product of B and C how can A be prime?[/sp]
sorry! A is a palindrome but not a prime
 
only 2 digit palinodromic prime is B = 11
A < 2000 and is of the form 1aa1
from this and C is palinodrom and prime we have C < 2000/11 and C >=100 hence C = 101 or 131 or 151 or 181
giving A = 1111, 1441, 1661, 1881

so we have following combinations (1111 = 1 1 * 101, 1441 = 11 * 131, 1661 = 11 * 151, 1991 = 11 * 181
 

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