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A309607 Exponents k for which reversal(2^k-1) is prime. 0

%I #32 Sep 02 2019 15:04:03

%S 2,3,5,53,189,293,1107,2181,2695,2871,7667,19999,27471,44537,62323,

%T 134367,174295

%N Exponents k for which reversal(2^k-1) is prime.

%C According to the statements in the first link given below, the terms for k <= 7667, the primes of the form reversal(2^k-1) are certified and for k >= 19999 they are probable primes.

%H Carlos Rivera, <a href="https://www.primepuzzles.net/puzzles/puzz_417.htm">Puzzle 417</a>.

%H Chris K. Caldwell and G. L. Honaker, <a href="https://primes.utm.edu/curios/page.php?number_id=7267&amp;submitter=Rivera">Prime Curio for 1990474529917009</a>.

%e 5 is included because for n=5, reversal(2^5-1)=13 is prime.

%t Select[Range[7667], PrimeQ[IntegerReverse[2^# - 1]] &]

%o (PARI) isok(k) = isprime(fromdigits(Vecrev(digits(2^k-1)))); \\ _Michel Marcus_, Aug 10 2019

%Y Cf. A000225, A000668, A001348, A000079, A000043, A057708, A134037, A134038, A134039.

%K nonn,base,more

%O 1,1

%A _Metin Sariyar_, Aug 09 2019

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