A271443
Earliest start of a run of n numbers divisible by a cube larger than one.
Original entry on oeis.org
8, 80, 1375, 22624, 18035622, 4379776620, 1204244328624, 2604639091138248, 2604639091138248
Offset: 1
a(9) = 2604639091138248 and the following 8 numbers are divisible by 2^3, 11^3, 5^3, 17^3, 7^3, 13^3, 3^3, 19^3, and 2^4, respectively.
A330480
Earliest start of a run of n numbers divisible by a fourth power larger than one.
Original entry on oeis.org
16, 80, 33614, 202099373, 40280549372, 430995495889374, 77405340617896874
Offset: 1
33614 is divisible by 7^4, 33615 is divisible by 3^4, and 33616 is divisible by 2^4. This is the smallest number with this property, so a(3)=33614.
- J.-M. De Koninck, Those Fascinating Numbers, Entry 242, p. 63, Amer. Math. Soc., 2009.
A330481
Earliest start of a run of n numbers divisible by a fifth power larger than one.
Original entry on oeis.org
32, 1215, 2590623, 2146909373, 105636978090621, 3269698976575137500
Offset: 1
1215 is divisible by 3^5 and 1216 is divisible by 2^5. This is the smallest number with this property, so a(2)=1215.
- J.-M. De Koninck, Those Fascinating Numbers, Entry 242, p. 63, Amer. Math. Soc., 2009.
A330484
Earliest start of a run of n numbers divisible by a ninth power larger than one.
Original entry on oeis.org
512, 3995648, 2889212890624, 18705093636361328125, 19810215665260426138787109374
Offset: 1
2889212890624 is divisible by 2^9, 2889212890625 is divisible by 5^9, and 2889212890626 is divisible by 3^9. This is the smallest number with this property, so a(3)=2889212890624.
A330485
Earliest start of a run of n numbers divisible by a tenth power larger than one.
Original entry on oeis.org
1024, 24151040, 61938212890624, 9226967798833574218749, 13279660499584033124533574218748
Offset: 1
61938212890624 is divisible by 2^10, 61938212890625 is divisible by 5^10, and 61938212890626 is divisible by 3^10. This is the smallest number with this property, so a(3)=61938212890624.
A088080
Start of n successive numbers divisible by n-th powers.
Original entry on oeis.org
1, 8, 1375, 202099373, 105636978090621, 283435321166212288109372
Offset: 1
a(3)=1375 because 1375=5^3*11, 1376=2^3*172, 1377=3^3*51; all multiples of cubes.
Corrected and extended by
Don Reble, Sep 27 2003
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