17971

Properties

Appears in sequences

• Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=40A002385
• Palindromic and prime Fibonacci-lucky numbers.at n=18A039679
• Palindromic primes containing no pair of consecutive equal digits.at n=34A050784
• Primes of the form 30*p + 1 where p is also prime.at n=42A051646
• Palindromic primes whose sum of squared digits is also prime.at n=17A052035
• Palindromic primes of the form 'primemirp' resulting from A054217.at n=9A054218
• Palindromic primes with strictly increasing digits up to the middle and then strictly decreasing.at n=20A062351
• Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=50A063381
• Let p = abc..k be a prime in base 10. Define mirror(p) = abc...k...cba. Sequence gives primes of the form mirror(p) for some p.at n=10A068686
• Numbers n such that phi(n) + sigma(n) = n + reversal(n).at n=41A069217
• Primes > 1000 in which every substring of lengths 2 and 3 are also prime.at n=9A069490
• Smallest palindromic prime with digit sum = n, or 0 if no such prime exists.at n=24A070245
• Group the natural numbers such that the n-th group contains n terms and the group sum is the smallest possible prime: (2), (1, 4), (3, 5, 9), (6, 7, 8, 10), (11, 12, 13, 14, 17), (15, 16, 18, 19, 20, 21), ... Sequence gives group sums.at n=32A075345
• Palindromic primes with nonprime middle digit.at n=18A076613
• Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=24A078856
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,6,2).at n=4A078963
• Palindromic primes with middle digit 9.at n=3A082445
• Palindromic primes whose digit permutation yields at least one other palindromic prime.at n=3A082808
• a(n) is the odd-length palindrome whose digits up to the center are those of n and whose center digit is equal to the digital root of the product of the factorial of n and the reverse of n.at n=16A082941
• Primes in A083137.at n=40A083139