A082769 -id:A082769 - cp's OEIS frontend

A083968 Duplicate of A082769.

11, 3, 7, 919, 101, 11, 12421, 131, 14341, 151, 16061, 17471, 181, 191, 30103, 313, 32323, 33533, 34543, 353, 36263, 373, 383, 39293, 70207, 71317, 727

Offset: 0

dead

A082768 Numbers that begin with 1, 3, 7 or 9.

Original entry on oeis.org

1, 3, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119

Offset: 1

Amarnath Murthy, Apr 18 2003

Cf. A082769, A082770, A045572 (Numbers that end with 1, 3, 7 or 9).

Cf. A082769, A082770, A089743.

isA082768 := proc(n)
    convert(n,base,10) ;
    if op(-1,%) in {1,3,7,9} then
        true;
    else
        false;
    end if;
end proc:
A082768 := proc(n)
    if n = 1 then
        1;
    else
        for a from procname(n-1)+ 1 do
            if isA082768(a) then
                return a;
            end if;
        end do:
    end if;
end proc:
seq(A082768(n),n=1..120) ; # R. J. Mathar, Aug 27 2025

Select[Range[119], MemberQ[{1, 3, 7, 9}, First[IntegerDigits[#]]] &] (* Jayanta Basu, Jun 24 2013 *)

More terms from David Wasserman, Jul 28 2005

Offset changed by Andrew Howroyd, Sep 29 2024

A082770 a(n) = smallest palindromic prime that begins with A082768(n) and contains more than twice the number of digits in A082768(n), or 0 if no such number exists.

Original entry on oeis.org

101, 313, 727, 919, 10301, 11311, 12421, 13331, 14341, 15451, 16061, 17471, 18181, 19391, 30103, 31013, 32323, 33533, 34543, 35053, 36263, 37273, 38083, 39293, 70207, 71317, 72227, 73037, 74047, 75557, 76367, 77377, 78487, 79397, 90709

Offset: 1

Amarnath Murthy, Apr 18 2003

Conjecture: no entry is zero. In most cases the number of digits required is 2k+1 where k is the number of digits in A082768(n). What is the first entry that requires more (than 2k+1) digits?

Answer to question: A082768(37) = 92, a(37) = 9200029. - David Wasserman, Jul 28 2005

Cf. A082768, A082769.

More terms from David Wasserman, Jul 28 2005

A089744 Least palindromic prime beginning with A089743(n).

Original entry on oeis.org

11, 2, 3, 5, 7, 919, 101, 11, 12421, 131, 14341, 151, 16061, 17471, 181, 191, 30103, 313, 32323, 33533, 34543, 353, 36263, 373, 383, 39293, 70207, 71317, 727, 73037, 74047, 757, 76367, 77377, 787, 797, 90709, 919, 929, 93139, 94049, 95959, 96269

Offset: 1

Amarnath Murthy, Nov 19 2003

Cf. A082769, A089743.

More terms from David Wasserman, Jul 28 2005

A088277 Let f(n) be the n-th palindrome in A089743. Then a(n) is the smallest palindromic prime that begins with f(n).

Original entry on oeis.org

11, 2, 3, 5, 7, 919, 11, 33533, 77377, 9902099, 101, 1114111, 1212121, 131, 1411141, 151, 1611161, 1712171, 181, 191, 303050303, 313, 32323, 3331333, 3439343, 353, 3635363, 373, 383, 3931393, 7073707, 7177717, 727, 737171737, 74747, 757

Offset: 1

Amarnath Murthy, Sep 29 2003

			f(7) = 33, the 7th palindrome that is the beginning of a palindromic prime, so a(7) = A109864(33) = 33533.

Cf. A082769, A089743, A109864.

Edited and extended by David Wasserman, Jul 28 2005

cp's OEIS Frontend

A083968 Duplicate of A082769.

Views

Author

Keywords

A082768 Numbers that begin with 1, 3, 7 or 9.

Views

Author

Keywords

Crossrefs

Programs

Maple

Mathematica

Extensions

A082770 a(n) = smallest palindromic prime that begins with A082768(n) and contains more than twice the number of digits in A082768(n), or 0 if no such number exists.

Views

Author

Keywords

Comments

Crossrefs

Extensions

A089744 Least palindromic prime beginning with A089743(n).

Views

Author

Keywords

Crossrefs

Extensions

A088277 Let f(n) be the n-th palindrome in A089743. Then a(n) is the smallest palindromic prime that begins with f(n).

Views

Author

Keywords

Examples

Crossrefs

Extensions