Search: id:A096548
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%I A096548
%S A096548 7,289,7,33603,309403
%N A096548 Difference between the smallest 10^n-digit prime and 10^(10^n-1).
%C A096548 Daniel Heuer found a(5) in 2004 by sieving up to 2^33 and then checking 
               ~8000 candidates with pfgw-linux. Proving primality of 10^99999+309403 
               is beyond current (2004) technology.
%H A096548 Prime Curios, <a href="http://primes.utm.edu/curios/page.php?number_id=3454">
               10000...33603 (10000-digits).</a>
%H A096548 Chris K. Caldwell, <a href="http://primes.utm.edu/primes/lists/all.txt">
               The largest known primes.</a>
%H A096548 Daniel Heuer, <a href="http://groups.yahoo.com/group/primeform/message/
               4503">Smallest 100000-digit prime?</a> Discussion in the PrimeForm 
               user group.
%H A096548 Henri Lifchitz, Renaud Lifchitz, <a href="http://www.primenumbers.net/
               prptop/prptop.php">Probable Primes Top 10000.</a>
%e A096548 a(1)=7 because the smallest ten-digit prime is 1000000007.
%e A096548 a(2)=289 because the smallest 100-digit prime is 10^99+289.
%Y A096548 Cf. A033873.
%Y A096548 Sequence in context: A065581 A062646 A009503 this_sequence A160072 A137435 
               A041851
%Y A096548 Adjacent sequences: A096545 A096546 A096547 this_sequence A096549 A096550 
               A096551
%K A096548 hard,nonn
%O A096548 1,1
%A A096548 Hugo Pfoertner (hugo(AT)pfoertner.org), Jul 06 2004

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