login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A076442
Odd-digit perfect powers.
2
1, 9, 1331, 3375, 35937, 59319, 357911, 753571, 759375, 5177717, 5359375, 5735339, 9393931, 17373979, 37595375, 39135393, 37159393753, 99317171591, 175333911173, 397551775977, 1913551573375, 9735913353977, 11997979755957, 17171515157399, 335571975137771
OFFSET
1,2
COMMENTS
a(19) > 1.3*10^11. - Robert G. Wilson v, Dec 17 2002
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..566 (terms < 10^57)
MATHEMATICA
NextOddNbr[n_] := Block[{d = If[ EvenQ[n], IntegerDigits[n + 1], IntegerDigits[n + 2]], l}, l = Length[d]; While[l != 1, If[ EvenQ[ d[[l]]], d[[l]]++ ]; If[d[[l]] > 9, d[[l - 1]]++; d[[l]] = 1]; l-- ]; If[ EvenQ[ d[[1]]], d[[1]]++ ]; If[ d[[1]] > 9, d[[1]] = 11]; FromDigits[d]] k = 1; Do[ If[ !PrimeQ[k] && Apply[GCD, Last[ Transpose[ FactorInteger[k]]]] > 1, Print[k]]; k = NextOddNbr[k], {n, 1, 10^8}]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
EXTENSIONS
Extended by Robert G. Wilson v, Dec 17 2002
Terms a(19) and beyond from Giovanni Resta, Mar 13 2020
STATUS
approved