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 A262637 Minimal nested palindromic base-4 primes with seed 2; see Comments. 3
 2, 323, 3332333, 333323333, 33333233333, 103333323333301, 1210333332333330121, 100212103333323333301212001, 3310021210333332333330121200133, 3303310021210333332333330121200133033, 11330331002121033333233333012120013303311 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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 palindromic base-4 primes with seed s. LINKS Clark Kimberling, Table of n, a(n) for n = 1..300 EXAMPLE a(3) = 3332333 is the least base-4 prime having a(2) = 323 in its middle. Triangular format: 2 323 3332333 333323333 33333233333 103333323333301 1210333332333330121 MATHEMATICA s = {2}; 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 (* A262637 *) Map[FromDigits[ToString[#], base] &, s] (* A262638 *) (* Peter J. C. Moses, Sep 01 2015 *) CROSSREFS Cf. A261881 (base 10), A262638, A262627. Sequence in context: A089775 A094402 A332132 * A028483 A006475 A282430 Adjacent sequences: A262634 A262635 A262636 * A262638 A262639 A262640 KEYWORD nonn,easy,base AUTHOR Clark Kimberling, Oct 24 2015 STATUS approved

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Last modified May 28 04:05 EDT 2023. Contains 362992 sequences. (Running on oeis4.)