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A262647
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Minimal nested palindromic base-6 primes with seed 1; see Comments.
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3
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1, 111, 1111111, 14111111141, 111411111114111, 103111411111114111301, 5510311141111111411130155, 10551031114111111141113015501, 501055103111411111114111301550105, 102501055103111411111114111301550105201, 5110250105510311141111111411130155010520115
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OFFSET
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1,2
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COMMENTS
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Using only base-6 digits 0,1,2,3,4,5, 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-6 primes with seed s.
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LINKS
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EXAMPLE
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a(3) = 1111111 is the least base-6 prime having a(2) = 111 in its middle. Triangular format:
1
111
1111111
14111111141
111411111114111
103111411111114111301
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MATHEMATICA
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s = {1}; base = 6; 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 (* A262647 *)
Map[FromDigits[ToString[#], base] &, s] (* A262648 *)
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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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