77977
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 7 and 9 only.at n=7A020471
- Palindromic primes that are "near miss circular primes" (all cyclic shifts except one are primes).at n=11A045978
- Palindromic primes containing at least one pair of consecutive equal digits.at n=13A050786
- Palindromic primes whose sum of squared digits is also prime.at n=28A052035
- Primes p from A031924 such that A052180(primepi(p)) = 29.at n=26A052236
- Palindromic primes with just two distinct digits.at n=32A056730
- Palindromes n such that n and n^2 have same digit sum.at n=20A058852
- Smallest palindromic prime with digit sum = n, or 0 if no such prime exists.at n=36A070245
- Palindromic wing primes (a.k.a. near-repdigit palindromic primes) of the general form r*(10^d - 1)/9 + (m-r)*10^floor(d/2) where d is the number of digits (an odd number > 1), r is the repeated digit, and m (different from r) is the middle digit.at n=20A077798
- Palindromic primes with middle digit 9.at n=6A082445
- Palindromic primes p with property that another palindromic prime with as many digits can be obtained by using all the digits of p with a different frequency >=1 (every digit is used at least once).at n=33A082807
- Smallest palindromic prime having a sum of digits = prime(n), or 0 if no such number exists.at n=11A083184
- Palindromic primes with nondecreasing digits up to the middle and then nonincreasing.at n=31A084836
- Palindromic primes that yield a prime when sandwiched between two 9's.at n=18A088272
- Palindromic primes in which a single digit is sandwiched between strings of 7's.at n=6A088283
- Palindromic primes using at most two distinct digits.at n=37A088562
- Primes of the form 6*k^2 + 1.at n=28A090687
- Smallest palindromic prime p, larger than previous term, such that concatenation of n and p is a prime.at n=9A103836
- Near-repdigit primes with 7 as repeated digit.at n=28A105977
- Primes with minimal digit = 7.at n=18A106107