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  1. #11
    Join Date
    Jun 2007
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    Quote Originally Posted by RC Christian View Post
    "37 / 73 is the only palindromic pair of two digit primes..." ? We can say a little more than that, can't we? Maybe, 37 / 73 is the only pair of two or three digit "reflective anagrams" (not exactly mathematical nomenclature) that have the property...
    You are correct. "Palindromic" isn't the right word because it refers to a single string that reads the same forwards and backwards like abcba. The pair 37/73 are emirps or "reversible primes." The fact that they are primes is an "added bonus" - it is conceivable that they could have been some pair of composite numbers, and primes are special. Indeed, they are prime (as in premier) amongst the integers.
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  2. #12
    Join Date
    Nov 2011
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    Quote Originally Posted by RAM View Post
    You are correct. "Palindromic" isn't the right word because it refers to a single string that reads the same forwards and backwards like abcba. The pair 37/73 are emirps or "reversible primes." The fact that they are primes is an "added bonus" - it is conceivable that they could have been some pair of composite numbers, and primes are special. Indeed, they are prime (as in premier) amongst the integers.

    Premier primes...cool man
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    "It is only by the exercise of Reason, that man can discover God."
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