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A262641
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Minimal nested palindromic base-5 primes with seed 1; see Comments.
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3
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1, 111, 41114, 1411141, 20141114102, 12120141114102121, 24012120141114102121042, 142401212014111410212104241, 41424012120141114102121042414, 314142401212014111410212104241413, 4131414240121201411141021210424141314, 30413141424012120141114102121042414131403
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OFFSET
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1,2
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COMMENTS
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Using only base-5 digits 0,1,2,3,4, let s be a palindrome and put a(1) = s. Let a(2) be the least palindromic prime having s in the middle; for n > 2, let a(n) be the least palindromic prime have a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic base-5 primes with seed s.
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LINKS
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EXAMPLE
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a(3) = 41114 is the least base-5 prime having a(2) = 111 in its middle.
Triangular format:
1
111
41114
1411141
20141114102
12120141114102121
24012120141114102121042
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MATHEMATICA
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s = {1}; base = 5; z = 20; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s]], Reverse[#]] &[IntegerDigits[#, base]], base]] &];
AppendTo[s, FromDigits[IntegerDigits[tmp, base]]], {z}]; s (* A262641 *)
Map[FromDigits[ToString[#], base] &, s] (* A262642 *)
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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STATUS
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approved
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