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A228133
Smaller of two consecutive fourth powers which are anagrams of each other.
1
256, 3801203878441216, 37676241378424125849856, 458674242952187370600625, 544126177359173833650625, 685460284523397245894656, 1608863370428370905668561, 3002790971698825459360000, 25230797696265342385603441, 287990971036503268357824016
OFFSET
1,1
COMMENTS
Given the n-th fourth power, it is occasionally possible to form the (n+1)-th fourth power using the same digits in a different order.
"Anagram" means that both fourth powers must not only use the same digits but must use each digit the same number of times.
EXAMPLE
256 and 625 are two successive fourth powers.
MAPLE
with(numtheory):for n from 1 to 2000000 do:p1:=n^4:p2:= (n+1)^4:pp1:=convert(p1, base, 10): pp2:=convert(p2, base, 10):n1:=sort(pp1):n2:=sort(pp2): if n1=n2 then printf(`%d, `, p1):else fi:od:
CROSSREFS
Sequence in context: A245490 A185981 A255321 * A139304 A018859 A180699
KEYWORD
nonn,base
AUTHOR
Michel Lagneau, Aug 12 2013
STATUS
approved