78487
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Lucky numbers that are both palindromic and prime.at n=12A031881
- Palindromic primes n such that the period of 1/n is a palindrome.at n=13A033938
- Palindromic prime lengths of factorials: see A035067.at n=30A035068
- Smallest palindromic prime with digit sum = n, or 0 if no such prime exists.at n=33A070245
- Palindromic primes with middle digit 4.at n=8A082440
- Palindromic prime units W appearing four times in second-order fractal palindromic primes WxWmWxW, where part WxW is also a palindromic prime.at n=30A082599
- a(n) = smallest palindromic prime that begins with A082768(n) and contains more than twice the number of digits in A082768(n), or 0 if no such number exists.at n=32A082770
- Palindromes of the form 3n + 1 where n is also a palindrome: palindromes arising in A083829.at n=28A083830
- Palindromes in A087386.at n=22A087387
- Palindromic primes that yield a prime when sandwiched between two 3's. (Prefixing and suffixing a -three' on both sides yields another pal prime).at n=31A088270
- Primes (up to the sign) which are values of the polynomial (n^5 - 133*n^4 + 6729*n^3 - 158379*n^2 + 1720294*n - 4*1733549)/4, in the order of increasing n.at n=17A177695
- Palindromic primes starting with a digit 7.at n=23A222727
- Palindromic prime numbers == 7 (mod 9).at n=15A229880
- Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.at n=17A252382
- Least prime p such that pi(p*n) = pi(q*n)^2 for some prime q, where pi(x) denotes the number of primes not exceeding x.at n=22A260140
- Numbers that are both lucky-indexed primes and prime-indexed lucky numbers.at n=17A307009
- Primes having only {4, 7, 8} as digits.at n=26A385795
- Prime numbersat n=7701