Search: id:A033873
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%I A033873
%S A033873 1,1,1,9,7,3,3,19,7,7,19,3,39,37,31,37,61,3,3,51,39,117,9,117,7,13,67,
%T A033873 103,331,319,57,33,49,61,193,69,67,43,133,3,121,109,63,57,31,9,121,33,
%U A033873 193,9,151,121,327,171,31,21,3,279,159,19,7,93,447,121,57,49,49,49,99,
               9
%N A033873 Difference between first prime > 10^n (A003617) and 10^n.
%H A033873 T. D. Noe, <a href="b033873.txt">Table of n, a(n) for n = 0..1000</a> 
               (yielding probable primes)
%H A033873 V. Danilov, <a href="http://www.fortunecity.com/skyscraper/epson/276/
               pr1_10k.htm">Table for large n</a>
%H A033873 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               NextPrime.html">Next Prime</a>
%e A033873 The 23rd term is 117 since 10^23 + 117 = 100000000000000000000117 is 
               prime and all of 100000000.., 100000....001, 1000...002 up through 
               1000...000116 are composite.
%p A033873 seq(nextprime(10^n)-10^n,n=0..70); - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Apr 20 2006
%t A033873 NextPrime[ n_Integer ] := (k = n + 1; While[ ! PrimeQ[ k ], k++ ]; Return[ 
               k ]); Table[ NextPrime[ 10^n ] - 10^n, {n, 0, 75} ]
%Y A033873 Cf. A003617.
%Y A033873 Sequence in context: A155792 A091558 A002205 this_sequence A135449 A060388 
               A081821
%Y A033873 Adjacent sequences: A033870 A033871 A033872 this_sequence A033874 A033875 
               A033876
%K A033873 nonn,nice
%O A033873 0,4
%A A033873 Vasiliy Danilov (danilovv(AT)usa.net)
%E A033873 More terms from Patrick De Geest (pdg(AT)worldofnumbers.com)

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