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A090268
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Smallest prime obtained by sandwiching prime(n) between identical digits, except that a(5) = 0.
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2
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727, 131, 151, 373, 0, 331333, 1171, 9199, 1231, 1291, 3313, 3373, 3413, 3433, 1471, 1531, 3593, 3613, 3673, 7717, 3733, 3793, 1831, 1111891111, 11197111, 31013, 31033, 11071, 91099, 11131, 3312733, 11311, 111137111, 31393, 11491, 31513
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OFFSET
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1,1
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LINKS
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MAPLE
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isA010785 := proc(n) convert(convert(n, base, 10), set) ; if nops(%) = 1 then true ; else false ; fi ; end: A055642 := proc(n) ilog10(n)+ 1; end: A090268 := proc(n) local kern, k, p ; if n = 5 then RETURN(0) ; fi ; kern := ithprime(n) ; k := 1 ; while true do if isA010785(k) then p := k+10^A055642(k)*kern+k*10^(A055642(k)+A055642(kern)) ; if isprime(p) then RETURN(p) ; fi ; fi ; k := k+1 ; od ; end: seq(A090268(n), n=1..40); # R. J. Mathar, Jul 20 2007
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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