palindrome numberCan a number be palindrome in 4 consecutive number bases?Find the smaller palindrome that is...

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palindrome number


Can a number be palindrome in 4 consecutive number bases?Find the smaller palindrome that is divisible by $3,5,11$How to get palindrome of a number with specific baseExpanding PalindromesSquare of palindromic numberHow to calculate the palindrome of a given amount of characters?Palindrome multiple of primeHow to make a palindromic table where each row and column is a palindrome?Even number not the sum of two base $2$ palindromesPalindrome vs Level of Palindrome













-1












$begingroup$


How to find the $n$-th term of the series.



1



11



101



1001



10001



100001



1000001










share|cite|improve this question











$endgroup$








  • 3




    $begingroup$
    $10001$ is a palindrome as well
    $endgroup$
    – Peter
    2 days ago
















-1












$begingroup$


How to find the $n$-th term of the series.



1



11



101



1001



10001



100001



1000001










share|cite|improve this question











$endgroup$








  • 3




    $begingroup$
    $10001$ is a palindrome as well
    $endgroup$
    – Peter
    2 days ago














-1












-1








-1





$begingroup$


How to find the $n$-th term of the series.



1



11



101



1001



10001



100001



1000001










share|cite|improve this question











$endgroup$




How to find the $n$-th term of the series.



1



11



101



1001



10001



100001



1000001







palindrome






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 days ago







srox

















asked 2 days ago









sroxsrox

1




1








  • 3




    $begingroup$
    $10001$ is a palindrome as well
    $endgroup$
    – Peter
    2 days ago














  • 3




    $begingroup$
    $10001$ is a palindrome as well
    $endgroup$
    – Peter
    2 days ago








3




3




$begingroup$
$10001$ is a palindrome as well
$endgroup$
– Peter
2 days ago




$begingroup$
$10001$ is a palindrome as well
$endgroup$
– Peter
2 days ago










1 Answer
1






active

oldest

votes


















4












$begingroup$

The smallest $n$-digit palindrome is $$10^{n-1}+1: n>1$$






share|cite|improve this answer











$endgroup$









  • 3




    $begingroup$
    except when n=1 of course!
    $endgroup$
    – DCarter
    2 days ago










  • $begingroup$
    @DCarter Yes, then it is $1$ (or $0$) and not $2$
    $endgroup$
    – Peter
    2 days ago












  • $begingroup$
    I am not able to upvote.Pease help.
    $endgroup$
    – srox
    2 days ago










  • $begingroup$
    Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
    $endgroup$
    – Martin Hansen
    2 days ago










  • $begingroup$
    @MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
    $endgroup$
    – Peter
    2 days ago











Your Answer





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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









4












$begingroup$

The smallest $n$-digit palindrome is $$10^{n-1}+1: n>1$$






share|cite|improve this answer











$endgroup$









  • 3




    $begingroup$
    except when n=1 of course!
    $endgroup$
    – DCarter
    2 days ago










  • $begingroup$
    @DCarter Yes, then it is $1$ (or $0$) and not $2$
    $endgroup$
    – Peter
    2 days ago












  • $begingroup$
    I am not able to upvote.Pease help.
    $endgroup$
    – srox
    2 days ago










  • $begingroup$
    Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
    $endgroup$
    – Martin Hansen
    2 days ago










  • $begingroup$
    @MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
    $endgroup$
    – Peter
    2 days ago
















4












$begingroup$

The smallest $n$-digit palindrome is $$10^{n-1}+1: n>1$$






share|cite|improve this answer











$endgroup$









  • 3




    $begingroup$
    except when n=1 of course!
    $endgroup$
    – DCarter
    2 days ago










  • $begingroup$
    @DCarter Yes, then it is $1$ (or $0$) and not $2$
    $endgroup$
    – Peter
    2 days ago












  • $begingroup$
    I am not able to upvote.Pease help.
    $endgroup$
    – srox
    2 days ago










  • $begingroup$
    Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
    $endgroup$
    – Martin Hansen
    2 days ago










  • $begingroup$
    @MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
    $endgroup$
    – Peter
    2 days ago














4












4








4





$begingroup$

The smallest $n$-digit palindrome is $$10^{n-1}+1: n>1$$






share|cite|improve this answer











$endgroup$



The smallest $n$-digit palindrome is $$10^{n-1}+1: n>1$$







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited 2 days ago









postmortes

2,10031222




2,10031222










answered 2 days ago









PeterPeter

48.6k1139135




48.6k1139135








  • 3




    $begingroup$
    except when n=1 of course!
    $endgroup$
    – DCarter
    2 days ago










  • $begingroup$
    @DCarter Yes, then it is $1$ (or $0$) and not $2$
    $endgroup$
    – Peter
    2 days ago












  • $begingroup$
    I am not able to upvote.Pease help.
    $endgroup$
    – srox
    2 days ago










  • $begingroup$
    Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
    $endgroup$
    – Martin Hansen
    2 days ago










  • $begingroup$
    @MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
    $endgroup$
    – Peter
    2 days ago














  • 3




    $begingroup$
    except when n=1 of course!
    $endgroup$
    – DCarter
    2 days ago










  • $begingroup$
    @DCarter Yes, then it is $1$ (or $0$) and not $2$
    $endgroup$
    – Peter
    2 days ago












  • $begingroup$
    I am not able to upvote.Pease help.
    $endgroup$
    – srox
    2 days ago










  • $begingroup$
    Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
    $endgroup$
    – Martin Hansen
    2 days ago










  • $begingroup$
    @MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
    $endgroup$
    – Peter
    2 days ago








3




3




$begingroup$
except when n=1 of course!
$endgroup$
– DCarter
2 days ago




$begingroup$
except when n=1 of course!
$endgroup$
– DCarter
2 days ago












$begingroup$
@DCarter Yes, then it is $1$ (or $0$) and not $2$
$endgroup$
– Peter
2 days ago






$begingroup$
@DCarter Yes, then it is $1$ (or $0$) and not $2$
$endgroup$
– Peter
2 days ago














$begingroup$
I am not able to upvote.Pease help.
$endgroup$
– srox
2 days ago




$begingroup$
I am not able to upvote.Pease help.
$endgroup$
– srox
2 days ago












$begingroup$
Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
$endgroup$
– Martin Hansen
2 days ago




$begingroup$
Also not true when n=0 for those who like the initial term to be $P_0$. I've edited the answer to make it technically correct.
$endgroup$
– Martin Hansen
2 days ago












$begingroup$
@MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
$endgroup$
– Peter
2 days ago




$begingroup$
@MartinHansen A $0$-digit number makes no sense to my opinion. But the restriction to $n>1$ is a useful edit.
$endgroup$
– Peter
2 days ago


















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