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Search: id:A008853
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| A008853 |
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Numbers n such that n^2 and n have same last 3 digits. |
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+0
1
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| 0, 1, 376, 625, 1000, 1001, 1376, 1625, 2000, 2001, 2376, 2625, 3000, 3001, 3376, 3625, 4000, 4001, 4376, 4625, 5000, 5001, 5376, 5625, 6000, 6001, 6376, 6625, 7000, 7001, 7376, 7625, 8000, 8001, 8376, 8625, 9000, 9001, 9376, 9625, 10000
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 1, p. 459.
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FORMULA
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a(4n)=1000n, a(4n+1)=1000n+1, a(4n+2)=1000n+376, a(4n+3)=1000n+625. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 13 2006
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MAPLE
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for n to 10000 do if n^2 - n mod 1000 = 0 then print(n); fi; od;
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CROSSREFS
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Adjacent sequences: A008850 A008851 A008852 this_sequence A008854 A008855 A008856
Sequence in context: A045284 A093237 A045200 this_sequence A105717 A003918 A045197
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KEYWORD
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nonn,easy,base
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AUTHOR
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njas
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