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Search: id:A099744
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| A099744 |
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Palindromes n such that 10n01 is a prime. |
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+0
3
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| 3, 5, 6, 222, 282, 353, 434, 555, 626, 656, 747, 828, 858, 929, 939, 10301, 10601, 11411, 11711, 12821, 12921, 13431, 13731, 14141, 14241, 14741, 15951, 16161, 17171, 17771, 18381, 18981, 19191, 19491, 19991, 20402, 20702, 22022, 22322
(list; graph; listen)
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OFFSET
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1,1
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MAPLE
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read transforms; pal:=[]; for n from 0 to 8000 do if digrev(n) = n then pal:=[op(pal), n]; fi; od:
t0:=[]; u0:=[]; for n from 1 to nops(pal) do m:=pal[n]; p0:="10"; p1:="01"; t1:=cat(p0, m, p1); t1:=convert(t1, decimal, 10); if isprime(t1) then t0:=[op(t0), m]; u0:=[op(u0), t1]; fi; od: t0; # u0 gives A099746.
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MATHEMATICA
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p = Select[ Range[ 22322], # == FromDigits[ Reverse[ IntegerDigits[ # ]]] &]; Select[p, PrimeQ[ FromDigits[ Join[{1, 0}, IntegerDigits[ # ], {0, 1}]]] &] (from Robert G. Wilson v Nov 20 2004)
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CROSSREFS
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Cf. A002113, A099746, A032672, A099720, A100026, A100027.
Sequence in context: A086189 A137082 A099414 this_sequence A024601 A085090 A084713
Adjacent sequences: A099741 A099742 A099743 this_sequence A099745 A099746 A099747
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KEYWORD
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nonn,easy,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 19 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 19 2004
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