Search: id:A033874
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%I A033874
%S A033874 3,3,3,27,9,17,9,11,63,33,23,11,29,27,11,63,3,11,39,11,101,27,23,257,
%T A033874 123,141,99,209,27,11,27,21,9,411,23,159,81,59,57,17,119,83,81,53,9,33,
%U A033874 41,33,57,57,323,231,177,291,111,593,93,149,141,161,39,83,123,51,269
%N A033874 Difference between the largest prime < 10^n (A003618) and 10^n.
%D A033874 Knuth, Art of Computer Programming, volume 2, pages 13 and 390.
%D A033874 Journal of Recreational Mathematics, volume 14 number 4 page 285.
%D A033874 Journal of Recreational Mathematics, volume 20 number 3 page 209-210.
%D A033874 Journal of Recreational Mathematics, volume 22 number 4 page 278.
%H A033874 T. D. Noe, Table of n, a(n) for n = 1..1000
(yielding probable primes)
%H A033874 V. Danilov, Table for large n
%H A033874 Eric Weisstein's World of Mathematics, Previous Prime
%e A033874 a(4) = 27 because 10^4 - 9973 = 27. The 21-th term is 101 since 10^21
- 101 = 999999999999999999899 is prime.
%p A033874 seq(10^n-prevprime(10^n),n=1..65); - Emeric Deutsch (deutsch(AT)duke.poly.edu),
Apr 20 2006
%t A033874 PrevPrime[ n_Integer ] := Module[ {k}, k = n - 1; While[ ! PrimeQ[ k
], k-- ]; k ]; Table[ 10^n - PrevPrime[ 10^n ], {n, 1, 75} ]
%Y A033874 Cf. A003618.
%Y A033874 Sequence in context: A127014 A073748 A131445 this_sequence A122092 A025549
A135584
%Y A033874 Adjacent sequences: A033871 A033872 A033873 this_sequence A033875 A033876
A033877
%K A033874 nonn,nice
%O A033874 1,1
%A A033874 Vasiliy Danilov (danilovv(AT)usa.net)
%E A033874 More terms from Patrick De Geest (pdg(AT)worldofnumbers.com)
%E A033874 Additional comments from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 09
2000
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