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A340902 Distance from the largest prime with less than 10^n decimal digits to 10^(10^n-1).

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%I A340902 #5 Jan 26 2021 08:05:22
%S A340902 63,621,6101,11333,59511,172473
%N A340902 Distance from the largest prime with less than 10^n decimal digits to 10^(10^n-1).
%C A340902 The prime number related to a(n) is the prime immediately preceding the prime related to A096548(n).
%C A340902 a(5) and a(6) appear to have been first found by Patrick De Geest.
%H A340902 factordb.com, <a href="http://factordb.com/index.php?id=1100000000212915894">10^999 - 6101</a>, contains primality certificate related to a(3).
%H A340902 factordb.com, <a href="http://factordb.com/index.php?id=1100000000605958068">10^9999 - 11333</a>, contains primality certificate related to a(4).
%H A340902 Henri Lifchitz, Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=10%5E99999-59511">10^99999 - 59511</a>, related to a(5).
%H A340902 Henri Lifchitz, Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=10%5E999999-172473">10^999999 - 172473</a>, related to a(6).
%H A340902 Wikipedia, <a href="https://de.wikipedia.org/wiki/Titanische_Primzahl">Titanische Primzahl</a>, in German.
%F A340902 a(n) = 10^(10^n-1) - precprime(10^(10^n-1)) = A064722(10^A002283(n)).
%e A340902 a(4) = 11333 because 10^9999 - 11333 is the largest prime not exceeding 10^9999.
%e A340902 a(5) = 59511 because 10^99999 - 59511 is the largest prime not exceeding 10^99999.
%Y A340902 Cf. A033874, A096548.
%K A340902 nonn,base,more,hard
%O A340902 1,1
%A A340902 _Jeppe Stig Nielsen_, Jan 26 2021