A227410 Palindromic prime numbers representing a date in "condensed American notation" MMDDYY.

10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 30103, 30203, 30403, 30703, 30803, 31013, 31513, 32323, 32423, 70207, 70507, 70607, 71317, 71917, 72227, 72727, 73037, 90709, 91019

Offset

1,1

Comments

For February, the number of days will be 28 only, as the year cannot be a leap year if MMDDYY is to be a prime number.

The sequence is finite, with 27 terms. The largest term is a(27)=91019.

Links

Table of n, a(n) for n=1..27.

Example

a(1)=10301 is palindromic prime and represents a date in MMDDYY format as 010301.

Mathematica

palindromicQ[n_] := TrueQ[IntegerDigits[n] == Reverse[IntegerDigits[n]]]; t = {}; Do[If[m < 8, If[OddQ[m], b = 31, If[m == 2, b = 28, b = 30]], If[OddQ[m], b = 30, b = 31]]; Do[a = 100 d + y + 10000 m; If[PrimeQ[a] && palindromicQ[a], AppendTo[t, a]], {d, 1, b}], {m, 1,
   12}, {y, 1, 99}]; Union[t]

Crossrefs

Cf. A213184, A227409, A227411.

Sequence in context: A241788 A187937 A154089 * A227411 A100502 A099746

Adjacent sequences: A227407 A227408 A227409 * A227411 A227412 A227413

Keyword

nonn,base,fini,full,less

Author

Shyam Sunder Gupta, Sep 22 2013

Status

approved