77711
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 1 and 7 only.at n=19A020455
- Primes in which each digit occurs in runs of at least 2.at n=12A034873
- Prime numbers with odd digits in descending order.at n=43A061245
- Smallest prime beginning with exactly n 7's.at n=3A065590
- Numbers k such that the "inventory" A063850 of k is a perfect square.at n=29A079465
- If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=26A083983
- Smallest member of a pair of consecutive twin prime pairs that have exactly n primes between them.at n=33A089637
- "Lucas-digits": start with "13", append sum of first 2 digits to the preceding number, drop first digit.at n=21A093100
- k-th lower twin prime, where k is the n-th Fibonacci number.at n=15A093306
- Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=32A108388
- Smallest prime of the form: all sevens followed by prime(n); a(n) > prime(n); or 0 if no such prime exists.at n=4A113889
- Home primes whose homeliness is greater than 5.at n=27A133965
- Home primes whose homeliness is greater than 6.at n=10A133967
- Home primes whose homeliness is 7.at n=7A133968
- Primes containing 777 as a substring.at n=21A167282
- Duplicate of A089637.at n=33A181981
- Primes having only {0, 1, 7} as digits.at n=43A199327
- Smallest of four consecutive primes whose sum is a triangular number.at n=21A226154
- Primes formed by inserting a semiprime between the semiprime's ordered factors.at n=13A229480
- Prime numbersat n=7637