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Search: id:A114755
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| A114755 |
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Smallest prime of the form: n successive positive integers in ascending order followed by a 3. a(3k) = 0 as no such prime exists. |
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+0
8
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| 13, 233, 0, 12343, 345673, 0, 5678910113, 54555657585960613, 0, 373839404142434445463, 17181920212223242526273, 0, 2345678910111213143, 23242526272829303132333435363, 0, 8910111213141516171819202122233
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(4) = 12343, four successive positive integers 1,2,3,4 in ascending order followed by a 3.
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MATHEMATICA
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a[n_]:=If[Mod[n, 3]==0, 0, (For[m=1, (v={}; Do[v=Join[v, IntegerDigits[k]], {k, m, m+n-1}]); !PrimeQ[10FromDigits[v]+3], m++ ]; 10FromDigits[v]+3)]; Table[a[n], {n, 17}] - Farideh Firoozbakht
f[n_] := Block[{t = Range@n}, If[ Mod[n, 3] == 0, 0, While[p = FromDigits@Flatten@IntegerDigits@Join[t, {3}]; !PrimeQ@p, t++ ]; p]]; Array[f, 20] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A114754, A114756, A114757, A114758, A114759, A112716, A108145.
Sequence in context: A068120 A083081 A083306 this_sequence A142610 A134493 A051689
Adjacent sequences: A114752 A114753 A114754 this_sequence A114756 A114757 A114758
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 01 2006
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EXTENSIONS
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Extended by Robert G. Wilson v (rgwv(at)rgwv.com), Ray Chandler (rayjchandler(AT)sbcglobal.net) and Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Jan 02 2006
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