A225404 10-adic integer x such that x^3 == 3 mod 10^n for all n.

7, 8, 5, 4, 3, 1, 5, 9, 8, 7, 8, 0, 0, 5, 8, 3, 2, 4, 0, 6, 1, 5, 6, 6, 2, 9, 4, 8, 1, 3, 0, 3, 6, 1, 8, 4, 8, 4, 6, 1, 9, 2, 2, 1, 3, 3, 8, 6, 8, 7, 8, 8, 9, 0, 6, 5, 9, 6, 3, 5, 3, 0, 2, 4, 2, 3, 0, 9, 0, 5, 2, 1, 6, 0, 7, 0, 1, 9, 9, 4, 7, 5, 7, 9, 3, 4, 8, 6, 6, 3, 3, 1, 1, 4, 3, 3, 6, 6, 2, 4

Offset: 1

Author

Aswini Vaidyanathan, May 07 2013

Keywords

• nonn
• base

Examples

			7^3 == 3 (mod 10).
87^3 == 3 (mod 100).
587^3 == 3 (mod 1000).
4587^3 == 3 (mod 10000).
34587^3 == 3 (mod 100000).
134587^3 == 3 (mod 1000000).
		

Links

• Kenny Lau, Table of n, a(n) for n = 1..10000

Programs

PARI

n=0; for(i=1, 100, m=3; for(x=0, 9, if(((n+(x*10^(i-1)))^3)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))

Python

n=7;p=1;i=1;exec("print(i,n//p);i+=1;p*=10;n+=n**3//p*7%10*p;"*10000) # Kenny Lau, Jun 07 2018