23167
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=27A052234
- Primes of form Sum_{k=1..n} (prime(k)+1).at n=36A062736
- n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=23A067861
- a(n) = floor((1+sqrt(3))^n).at n=10A080041
- Primes p having exactly one partition into distinct divisors of p+1.at n=39A085499
- Primes p such that p-1 and p+1 are both divisible by fourth powers.at n=15A086709
- Primes that are a concatenation of 2, 3 and a prime.at n=8A101218
- Largest prime <= 2^((n+1)/2).at n=27A133225
- Home primes whose homeliness is greater than 3.at n=36A133961
- Home primes whose homeliness is greater than 4.at n=11A133963
- Home primes whose homeliness is 5.at n=8A133964
- a(n) = 15*n^2 + 9*n + 1.at n=39A134153
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=29A137474
- Primes of the form 88x^2+32xy+127y^2.at n=35A140630
- 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, 0, 1), (-1, 1, 1), (0, 1, -1), (1, -1, 1), (1, 1, 0)}.at n=8A149493
- Primes p such that p*floor(p/2)-2 and p*floor(p/2)+2 are also prime numbers.at n=29A164621
- Primes with eight embedded primes.at n=13A179916
- Sequence of primes separated by [sequence of prime] elements. 2, [find 2nd prime after 2 = ] 5, [find 3rd prime after 5 =] 13, [find 5th prime after 13 =] 61, ..., etc.at n=37A180302
- The primes created by concatenation of anti-divisors in A191647.at n=11A191859
- Partial sums of A193911.at n=18A193912