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A229107 Palindromic prime time display in hours, minutes, seconds on a six-digit 24-hour digital clock. 2

%I #11 Sep 13 2013 20:00:39

%S 2,3,5,7,11,101,131,151,313,353,727,757,919,929,10301,10501,10601,

%T 11311,11411,12421,12721,12821,13331,13831,13931,14341,14741,15451,

%U 15551,30103,30203,30403,30703,30803,31013,31513,32323,32423,33533,34543,34843,35053

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

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

%H Shyam Sunder Gupta, <a href="/A229107/b229107.txt">Table of n, a(n) for n = 1..69</a> (complete sequence)

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

%t 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]

%Y Cf. A222620, A050246.

%K nonn,fini,full,base

%O 1,1

%A _Shyam Sunder Gupta_, Sep 13 2013

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Last modified April 23 09:22 EDT 2024. Contains 371905 sequences. (Running on oeis4.)