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Search: id:A114754
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| A114754 |
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Smallest prime of the form: n successive positive integers in ascending order followed by a 1. |
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+0
9
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| 11, 10111, 1231, 67891, 9101112131, 3456781, 91011121314151, 45678910111, 1234567891, 303132333435363738391, 12345678910111, 939495969798991001011021031041, 91011121314151617181920211
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(2) = 10111= 10 followed by 11 followed by 1.
a(3) = 1231, three successive positive integers 1,2,3 in ascending order followed by a 1.
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MATHEMATICA
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a[n_]:=(For[m=1, (v={}; Do[v=Join[v, IntegerDigits[k]], {k, m, m+n-1}]); !PrimeQ[10FromDigits[v]+1], m++ ]; 10FromDigits[v]+1); Table[a[n], {n, 14}] - Farideh Firoozbakht
f[n_] := Block[{t = Range@n}, While[p = FromDigits@Flatten@IntegerDigits@Join[t, {1}]; !PrimeQ@p, t++ ]; p]; Array[f, 13] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A113513, A114755, A114756, A114757, A114758, A114759, A112716, A108145.
Sequence in context: A099806 A050647 A082265 this_sequence A121520 A083442 A114120
Adjacent sequences: A114751 A114752 A114753 this_sequence A114755 A114756 A114757
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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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