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A262633
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Minimal nested base-4 palindromic primes with seed 0.
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3
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0, 101, 31013, 3310133, 1023310133201, 3331023310133201333, 3223331023310133201333223, 1133223331023310133201333223311, 100311332233310233101332013332233113001, 10231003113322333102331013320133322331130013201
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OFFSET
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1,2
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COMMENTS
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Using only base-4 digits 0,1,2,3, 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 base-4 palindromic primes with seed s.
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LINKS
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EXAMPLE
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a(3) = 31013 is the least base-4 prime having a(2) = 101 in its middle. Triangular format:
0
101
31013
3310133
1023310133201
3331023310133201333,
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MATHEMATICA
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s = {0}; base = 4; 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 (* A262633 *)
Map[FromDigits[ToString[#], base] &, s] (* A262634 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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