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A038804 Difference between largest n-digit prime and smallest (n+1)-digit prime. 9

%I #57 Mar 15 2020 13:35:59

%S 4,4,12,34,12,20,28,18,70,52,26,50,66,58,48,124,6,14,90,50,218,36,140,

%T 264,136,208,202,540,346,68,60,70,70,604,92,226,124,192,60,138,228,

%U 146,138,84,18,154,74,226,66,208,444,558,348,322,132,596,372,308,160,168

%N Difference between largest n-digit prime and smallest (n+1)-digit prime.

%C Records: 4, 12, 34, 70, 124, 218, 264, 540, 604, 670, 754, 1182, ..., . - _Robert G. Wilson v_, Jan 23 2020

%H Giovanni Resta, <a href="/A038804/b038804.txt">Table of n, a(n) for n = 1..8000</a> (terms 1..1000 from Pierre CAMI, terms 1001..4000 from Robert G. Wilson v)

%H Pierre CAMI, <a href="/A038804/a038804.txt">PFGW script</a>

%H Vasiliy Danilov, <a href="http://web.archive.org/web/20080517213817/http://www.fortunecity.com/skyscraper/epson/276/pr1_10k.htm">Smallest & largest n-digit primes</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NextPrime.html">Next Prime</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PreviousPrime.html">Previous Prime</a>.

%F a(n) = A033873(n) + A033874(n). - _Zak Seidov_, Sep 13 2016

%e 7 = greatest prime with 1 digit, 11 next smallest prime with 2 digits so a(1)=4.

%e 97 = greatest prime with 2 digits, 101 next smallest prime with 3 digits so a(2)=4.

%t (NextPrime[#]-NextPrime[#,-1])&/@(10^Range[100]) (* _Harvey P. Dale_, Mar 23 2011 *)

%Y Cf. A033873, A033874, A003617, A003618, A058249.

%K nonn,base

%O 1,1

%A _Jeff Burch_

%E Corrected and edited by _Patrick De Geest_, Nov 06 2004

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Last modified April 23 15:04 EDT 2024. Contains 371914 sequences. (Running on oeis4.)