19973
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Fibonacci sequence beginning 2, 19.at n=16A022119
- Zeroless primes that remain prime if any digit is deleted.at n=24A034302
- Denominators of continued fraction convergents to sqrt(816).at n=10A042575
- Primes remaining prime if any digit is deleted (zeros allowed).at n=32A051362
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=24A051962
- Primes with 4 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d.at n=4A057880
- Primes with all odd digits such that the next three primes also contain all odd digits.at n=19A068831
- Primes with all odd digits such that the next four primes also contain all odd digits.at n=6A068832
- Primes p such that p's set of distinct digits is {1,3,7,9}.at n=17A108386
- Sums of p-th to the q-th prime where p and q are twin primes.at n=33A114379
- Primes congruent to 31 mod 59.at n=37A142758
- Primes congruent to 26 mod 61.at n=31A142824
- Emirps using each of the digits 1, 3, 7, 9 at least once, but no others.at n=7A158917
- a(n) = ((2+sqrt(5))*(4+sqrt(5))^n + (2-sqrt(5))*(4-sqrt(5))^n)/2.at n=5A162772
- Numbers with d digits (d>0) which have at least 2d distinct primes as substrings.at n=12A168167
- Primes with nine embedded primes.at n=2A179917
- Prime numbers > 10000 such that all the substrings of length >= 4 are primes (substrings with leading '0' are considered to be nonprime).at n=33A211686
- The least prime that has at least n embedded primes, reading forward and backward.at n=14A229908
- Primes of the form n^2 + phi(n).at n=23A264771
- Irregular triangular array read by rows. T(n,k) is the number of unlabeled forests of distinct trees on n nodes containing exactly k trees.at n=70A336096