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A233451 Numbers k such that k^5 starts with k itself (in base 10). 7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
EXAMPLE
18^5 = 1889568 begins with 18, so 18 is in the sequence.
MATHEMATICA
kmax=10^6; Select[Range[0, kmax], FromDigits[Drop[IntegerDigits[#^5], -(IntegerLength[#^5]-IntegerLength[#])]]==# &] (* Stefano Spezia, Aug 27 2023 *)
PROG
(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, ", ")));
CROSSREFS
Sequence in context: A198309 A167342 A288781 * A177172 A358985 A171767
KEYWORD
nonn,base,easy
AUTHOR
EXTENSIONS
0 inserted by Juhani Heino, Aug 31 2015
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)