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 A100580 Palindromic primes containing digits 0 and 1 only. (Palindromic terms in A020449.) 4
 11, 101, 100111001, 110111011, 111010111, 1100011100011, 1100101010011, 1101010101011, 1110110110111, 1110111110111, 100110101011001, 101000010000101, 101011000110101, 101110000011101, 110011101110011 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Jon E. Schoenfield, Table of n, a(n) for n = 1..15185 (all terms < 10^38; terms 1..200 from T. D. Noe, 201..2385 from Chai Wah Wu) EXAMPLE a(3) = 100111001 because 100111001 is the third palindromic prime composed only of 1's and 0's. MATHEMATICA PalQ[n_]:=FromDigits[Reverse@IntegerDigits[n]]==n; DeleteDuplicates[Flatten[Table[Select[FromDigits /@ Tuples[{0, 1}, n], PrimeQ[#]&&PalQ[#] &], {n, 15}]]] (* Jayanta Basu, May 11 2013 *) Select[FromDigits/@Tuples[{0, 1}, 15], PalindromeQ[#]&&PrimeQ[#]&] (* Harvey P. Dale, Jan 18 2023 *) PROG (Python) from sympy import isprime A100580_list = [11] for i in range(2, 2**16): ....s = format(i, 'b') ....x = int(s+s[-2::-1]) ....if isprime(x): ........A100580_list.append(x) # Chai Wah Wu, Jan 06 2015 CROSSREFS Cf. A020449, A002385, A000040, A002113. Sequence in context: A358198 A247863 A180280 * A253631 A087744 A054421 Adjacent sequences: A100577 A100578 A100579 * A100581 A100582 A100583 KEYWORD base,nonn AUTHOR Chuck Seggelin (seqfan(AT)plastereddragon.com), Nov 29 2004 STATUS approved

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Last modified June 3 12:17 EDT 2023. Contains 363110 sequences. (Running on oeis4.)