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

Author

Shyam Sunder Gupta, Sep 13 2013

Keywords

• nonn
• fini
• full
• base

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A222620, A050246.

Programs

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]