Problems & Puzzles: Puzzles

 

 

Problems & Puzzles: Puzzles

Puzzle 1264 A follow up to Puzzle 973

In 2009, J. K. Andersen got the following twin & empirps:

10^499+X+/-1 for X=174295123052

10^499+174295123052 +1 is prime
10^499+174295123052 -1 is prime

Rev(10^499+174295123052 +1) is prime
Rev(10^499+174295123052 -1) is prime

(The four 500 digits primes verified by CR using ECM)


Perhaps it's time to get something larger than this.

Q.  Find larger examples of these kind







From April 4-11, 2026, contributions came from Simon Cavegn

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Simon wrote:

182348281 * 10^1000 + 775222951
182348281 * 10^1000 + 775222951 + 2
RevDigits(182348281 * 10^1000 + 775222951, 10)
RevDigits(182348281 * 10^1000 + 775222951 + 2, 10)


1009 digits primes.

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