A229107 Palindromic prime time display in hours, minutes, seconds on a six-digit 24-hour digital clock.

2, 3, 5, 7, 11, 101, 131, 151, 313, 353, 727, 757, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741, 15451, 15551, 30103, 30203, 30403, 30703, 30803, 31013, 31513, 32323, 32423, 33533, 34543, 34843, 35053

Offset

1,1

Comments

Leading zeros are ignored, so the term a(7) = 131, for example, corresponds to the display 00:01:31. Sequence has 69 entries.

Links

Shyam Sunder Gupta, Table of n, a(n) for n = 1..69 (complete sequence)

Example

151 is in the sequence because it is palindromic prime and displays the time as 00:01:51.

Mathematica

palindromicQ[n_] := TrueQ[IntegerDigits[n] == Reverse[IntegerDigits[n]]]; Select[Select[Table[10000 hr + 100 mnt + sec, {hr, 0, 23}, {mnt, 0, 59}, {sec, 0, 59}] // Flatten, palindromicQ@# &], PrimeQ]

Crossrefs

Cf. A222620, A050246.

Sequence in context: A082806 A157868 A222116 * A109574 A084837 A062352

Adjacent sequences: A229104 A229105 A229106 * A229108 A229109 A229110

Keyword

nonn,fini,full,base

Author

Shyam Sunder Gupta, Sep 13 2013

Status

approved