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A178496 The smallest palindromic prime which contains the decimal expansion of 11^n in its decimal representation. 0

%I #4 Jan 04 2011 16:06:30

%S 11,11,1212121,133111331,361464163,31501610513,916517717715619,

%T 1017178491948717101,111888534121435888111,1967497532357947691,

%U 11064247395259374246011,142853116706111607611358241

%N The smallest palindromic prime which contains the decimal expansion of 11^n in its decimal representation.

%C The entries have two possible formats: a//11^n ( = 11^n//b), where the double-slash denotes concatenation, or c//11^n//d.

%C By definition, the concatenation has to be a palindromic prime, A002385.

%e a(0) = 11^0//1 = 1//1 = palprime(5).

%e a(1) = 11^1 = 11.

%e a(2) = 1212//11^2 = 1212//121 = palprime(151).

%e a(3) = 13311//11^3 = 13311//1331 = palprime(1270).

%e a(4) = 36//11^4//63 = 36//14641//63 = palprime(3035).

%e a(5) = 3150//11^5//3 = 3150//161051//3 = palprime(18465).

%e a(6) = 9165177//11^6//9 = 9165177//1771561//9.

%e a(7) = 101717849//11^7//01 = 101717849//19487171//01.

%e a(8) = 1118885341//11^8//11 = 1118885341//214358881//11.

%e a(9) = 196749753//11^9 = 196749753//2357947691.

%e a(10) = 11064247395//11^10//1 = 11064247395//25937424601//1.

%e a(11) = 14//11^11//1607611358241 = 14//285311670611//1607611358241.

%e a(12) = 111276738248//11^12//11 = 111276738248//3138428376721//11.

%Y Cf. A002385, A001020, A177678

%K base,nonn

%O 0,1

%A Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 28 2010

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Last modified June 8 12:22 EDT 2024. Contains 373217 sequences. (Running on oeis4.)