A074100 Cubes using only digits 1, 2, 3, 5 and 7.
1, 27, 125, 512, 1331, 3375, 753571, 2571353, 5177717, 17173512, 25153757, 72511713, 11512557512, 22211737731, 27135225125, 125375375125, 552377215125, 2252212155712, 3531251132352, 7127771131125, 23771111713777, 31122112521375, 37521355131352, 125112533753375
Offset: 1
Examples
137^3 = 2571353, smallest term using the five digits 1, 2, 3, 5 and 7. - _Bernard Schott_, Mar 18 2019 91^3 = 753571 as 753571 uses only digits from 1, 2, 3, 5 and 7. It's fine that 91 doesn't. - _David A. Corneth_, Mar 18 2019
Links
- David A. Corneth, Table of n, a(n) for n = 1..359 (Terms < 10^45; first 37 terms from Jayanta Basu)
Crossrefs
Cf. A079656.
Programs
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Mathematica
t1 = Prepend[Prime[Range[4]], 1]; Select[Range[35000]^3, Complement[IntegerDigits[#], t1] == {} &] (* Jayanta Basu, Jul 31 2013 *) -
Python
A074100_list = [n**3 for n in range(1,10**6) if set(str(n**3)) <= set('12357')] # Chai Wah Wu, Mar 16 2019
Extensions
More terms from Sascha Kurz, Jan 30 2003
Two more terms from Jayanta Basu, Jul 31 2013
Comments