

A229107


Palindromic prime time display in hours, minutes, seconds on a sixdigit 24hour digital clock.


2



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
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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



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



KEYWORD

nonn,fini,full,base


AUTHOR



STATUS

approved



