A023089 Numbers k such that k and 5*k are anagrams.

0, 142857, 148257, 174285, 174825, 1025748, 1028574, 1057428, 1057482, 1082574, 1085742, 1402857, 1408257, 1420857, 1425708, 1425789, 1425897, 1428057, 1428570, 1428579, 1428597, 1429785, 1429857, 1457028, 1457082, 1457829, 1458297, 1480257

Offset: 1

Author

David W. Wilson

Keywords

• nonn
• base

Comments

All terms are divisible by 9. - Eric M. Schmidt, Jul 12 2014

This is Schuh's (1968) "quintuples puzzle". - Petros Hadjicostas, Jul 28 2020

References

• Fred Schuh, The Master Book of Mathematical Recreations, Dover, New York, 1968, pp. 35-37.

Links

• David W. Wilson, Table of n, a(n) for n = 1..10001

Crossrefs

Cf. A023086, A023087, A023088, A023090, A023091, A023092, A023093.

Programs

Mathematica

si[n_] := Sort@ IntegerDigits@ n; Flatten@{0, Table[Select[Range[10^d + 8, 2 10^d - 1, 9], si[#] == si[5 #] &], {d, 0, 6}]} (* Giovanni Resta, Mar 20 2017 *)