A228133 Smaller of two consecutive fourth powers which are anagrams of each other.

256, 3801203878441216, 37676241378424125849856, 458674242952187370600625, 544126177359173833650625, 685460284523397245894656, 1608863370428370905668561, 3002790971698825459360000, 25230797696265342385603441, 287990971036503268357824016

Offset: 1

Author

Michel Lagneau, Aug 12 2013

Keywords

• nonn
• base

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.

Examples

			256 and 625 are two successive fourth powers.
		

Crossrefs

Cf. A000583, A227692.

Programs

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: