23971
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 88 ones.at n=33A031856
- Euclid-Mullin sequence (A000945) with initial value a(1)=47 instead of a(1)=2.at n=5A051319
- a(n) = prime(2*n*(n+1)+1).at n=36A078746
- a(1) = 1; then primes associated with A091850.at n=39A091851
- a(n) is the 6th term in Euclid-Mullin (EM) prime sequence initiated with n-th prime.at n=14A094462
- Primes that are a concatenation of 2, 3 and a prime.at n=32A101218
- Home primes whose homeliness is greater than 4.at n=19A133963
- Home primes whose homeliness is 5.at n=13A133964
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 0, -1), (1, 0, 0), (1, 1, 1)}.at n=8A150349
- Numbers with d digits (d>0) which have at least 2d distinct primes as substrings.at n=26A168167
- Primes such that applying "reverse and add" twice produces two more primes.at n=7A174402
- (1, 3, 5, 7, 9, ...) convolved with (1, 0, 3, 5, 7, 9, ...).at n=33A179903
- Primes with nine embedded primes.at n=10A179917
- a(n) = 25*n^2 + 15*n + 1021.at n=30A214732
- Primes of the form 2*n^2 + 10*n + 3.at n=14A221902
- Primes p such that floor(log(p)) + p^2 is prime.at n=29A225626
- Primes of the form 7*k^2 + 7*k + 17.at n=45A256374
- Denominators of upper primes-only best approximates (POBAs) to sqrt(3); see Comments.at n=17A265781
- Start with k=2*n, and until k+1 is prime, apply the map k -> k*(least prime factor of (k+1)); then a(n) = k+1, or 0 if k+1 never reaches a prime.at n=46A288212
- Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3.at n=28A385188