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Search: id:A068842
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| A068842 |
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Smallest prime larger than 2^n whose digits begin with those of 2^n. |
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+0
2
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| 11, 23, 41, 83, 163, 3203, 641, 1283, 25601, 51203, 10243, 20483, 40961, 81929, 163841, 327689, 6553621, 1310723, 2621447, 5242883, 10485767, 20971529, 41943049, 838860817, 167772161, 335544323, 6710886407, 1342177283
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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a(5) = 3203 with leading digits 32 = 2^5.
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MATHEMATICA
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f[n_] := For[x=10, True, x*=10, For[y=0, y<x, y++, If[PrimeQ[x*n+y], Return[x*n+y]]]]; a[n_] := f[2^n]
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CROSSREFS
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Cf. A068841.
Sequence in context: A060915 A052034 A077041 this_sequence A146451 A029468 A068231
Adjacent sequences: A068839 A068840 A068841 this_sequence A068843 A068844 A068845
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 10 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Jun 09 2002
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