100030001

Properties

Appears in sequences

• Palindromes of form n^2 + 3*n + 1.at n=20A028349
• Smallest palindromic prime with 2n-1 digits.at n=4A028989
• Smallest palindromic prime using n digits, or 0 if no such number exists.at n=8A056732
• Numbers k such that k^2 contains only digits {0,1,6}, not ending with zero.at n=8A058417
• Palindromic primes with digit sum 5.at n=4A070247
• Palindromic primes with successive increasing difference: a(k)-a(k-1) < a(k+1)- a(k).at n=14A078790
• a(1) = 1, then the smallest palindromic prime obtained by inserting digits anywhere in a(n-1).at n=5A082620
• a(1) = 3, a(n) = smallest palindromic prime obtained by inserting two paired digits anywhere in a(n-1).at n=4A082622
• Smallest palindromic prime containing exactly n zeros.at n=5A083981
• Primes arising as the successive difference of terms of A088052. a(n) = A088052(n+1)-A088052(n).at n=35A088053
• Related to diagonals of Pascal's triangle.at n=4A096885
• Smallest (2n+1)-digit palindromic prime of the form 10...0M0...01 (thus M is a palindrome with <= 2n-1 digits).at n=3A100027
• Least (2n-1)-digit palindromic prime == 1 (mod n), or 0 if no such prime exists.at n=4A113575
• a(n) is the least prime whose representation contains a palindromic substring of length n.at n=8A115941
• Numbers k such that k and k^2 use only the digits 0, 1, 3 and 6.at n=27A136847
• 1+3*10^n+100^n.at n=4A171375
• Palindromic primes of the form (q//R(q))/11 where q is an emirp, R() denotes digit-reversal and // concatenation.at n=15A178654
• "1-ply" palindromic primes; see Comments.at n=4A208361
• Palindromic primes whose sum of digits is also a palindromic prime.at n=24A222116
• Palindromic primes with exactly three nonzero digits.at n=32A273049