A222724 -id:A222724 - cp's OEIS frontend

A043036 Base 10 palindromes that start with 1.

1, 11, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 10001, 10101, 10201, 10301, 10401, 10501, 10601, 10701, 10801, 10901, 11011, 11111, 11211, 11311, 11411, 11511, 11611, 11711, 11811, 11911

Offset: 1

Clark Kimberling

Union of A222723 (palindromic primes starting with a digit 1) and A222724 (palindromic nonprime numbers starting with a digit 1). - Jaroslav Krizek, Mar 03 2013

Harvey P. Dale and Jaroslav Krizek, Table of n, a(n) for n = 1..2222 (first 1000 terms from Harvey P. Dale)

Cf. A002113 (palindromes in base 10).

palQ[n_Integer, base_Integer] := Module[{idn = IntegerDigits[n, base]}, idn == Reverse[idn]]; Select[Range[0, 20000], IntegerDigits[#][[1]] == 1 && palQ[#, 10] &] (* T. D. Noe, Mar 12 2013 *)

A222723 Palindromic primes starting with a digit 1.

Original entry on oeis.org

11, 101, 131, 151, 181, 191, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741, 15451, 15551, 16061, 16361, 16561, 16661, 17471, 17971, 18181, 18481, 19391, 19891, 19991, 1003001, 1008001, 1022201, 1028201, 1035301, 1043401

Offset: 1

Jaroslav Krizek, Mar 03 2013

Subsequence of A002385 (palindromic primes) and A002113 (palindromic numbers). Complement of A222724 (palindromic nonprime numbers starting with a digit 1) with respect to A043036 (palindromic numbers starting with a digit 1).

Jaroslav Krizek, Table of n, a(n) for n = 1..1000

Cf. A002385, A002113, A222724, A043036.

Select[Prime[Range[85000]],PalindromeQ[#]&&IntegerDigits[#][[1]]==1&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 14 2018 *)

cp's OEIS Frontend

A043036 Base 10 palindromes that start with 1.

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