deleted 1 character in body

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edited Sep 25 at 19:58

34.3k
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152

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\notin \{(B \times 11^n \bmod A) \bmod 11 \mathrel: n \in \mathbb N \} = \{ 1,2,3,\dots,10c\} \text{?}$$0\notin \{(B \times 11^n \bmod A) \bmod 11 \mathrel: n \in \mathbb N \} = \{ 1,2,3,\dots,10\} \text{?}$

Is there a more general property behind it?

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\notin \{(B \times 11^n \bmod A) \bmod 11 \mathrel: n \in \mathbb N \} = \{ 1,2,3,\dots,10c\} \text{?}$

Is there a more general property behind it?

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\notin \{(B \times 11^n \bmod A) \bmod 11 \mathrel: n \in \mathbb N \} = \{ 1,2,3,\dots,10\} \text{?}$

Is there a more general property behind it?

Typo

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edited Sep 25 at 15:11

LSpice

12.9k
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A strange proprietyproperty about modulus

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\not\in \{(B \times 11^n \bmod A) \bmod 11 \text{ : } n \in \mathbb N \} = \{ 1,2,3,\ldots,10\} \text{?}$$0\notin \{(B \times 11^n \bmod A) \bmod 11 \mathrel: n \in \mathbb N \} = \{ 1,2,3,\dots,10c\} \text{?}$

Is there a more general property behind it?

A strange propriety about modulus

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\not\in \{(B \times 11^n \bmod A) \bmod 11 \text{ : } n \in \mathbb N \} = \{ 1,2,3,\ldots,10\} \text{?}$

Is there a more general property behind it?

A strange property about modulus

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\notin \{(B \times 11^n \bmod A) \bmod 11 \mathrel: n \in \mathbb N \} = \{ 1,2,3,\dots,10c\} \text{?}$

Is there a more general property behind it?

added 5 characters in body

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edited Sep 25 at 13:58

Max Alekseyev

34.3k
5
74
152

I came across this strange property :

$A=1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200$ $\\\\$ $B=1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611$

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\not\in \{(B \times 11^n \bmod A) \bmod 11 \text{ : } n \in \mathbb N \} = \{ 1,2,3,\ldots,10\} \text{?}$

Is there a more general property behind it?

I came across this strange property :

$A=1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200$ $\\\\$ $B=1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611$

Why $0\not\in \{(B \times 11^n \bmod A) \bmod 11 \text{ : } n \in \mathbb N \} = \{ 1,2,3,\ldots,10\} \text{?}$

Is there a more general property behind it?

I came across this strange property :

A = 1365636947370912401969102170896050049833536043036222945024106106365095957448673476595717951882200
B = 1353221295111631852153727244194823890765967481385223615864962219103729677003203245224034685374611

Why $0\not\in \{(B \times 11^n \bmod A) \bmod 11 \text{ : } n \in \mathbb N \} = \{ 1,2,3,\ldots,10\} \text{?}$

Is there a more general property behind it?