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A233451
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Numbers k such that k^5 starts with k itself (in base 10).
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7
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0, 1, 10, 18, 100, 178, 1000, 10000, 17783, 31623, 100000, 177828, 316228, 1000000, 10000000, 100000000, 1000000000, 5623413252, 10000000000, 100000000000, 177827941004, 316227766017, 1000000000000, 1778279410039, 10000000000000, 31622776601684
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OFFSET
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1,3
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LINKS
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EXAMPLE
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18^5 = 1889568 begins with 18, so 18 is in the sequence.
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MATHEMATICA
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kmax=10^6; Select[Range[0, kmax], FromDigits[Drop[IntegerDigits[#^5], -(IntegerLength[#^5]-IntegerLength[#])]]==# &] (* Stefano Spezia, Aug 27 2023 *)
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PROG
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(PARI) r=54; print1(1, ", "); e=5; for(n=2, r, p=round((10^(1/(e-1)))^n); f=p^e; b=10^(#Str(f)-#Str(p)); if((f-lift(Mod(f, b)))/b==p, print1(p, ", ")));
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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