23497
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Cuban primes: primes which are the difference of two consecutive cubes.at n=37A002407
- a(n) = a(n-1)+ a(round(2*(n-1)/3)) +a(round((n-1)/3)) starting a(1)=1.at n=36A033498
- Gaps of 10 in sequence A038593 (lower terms).at n=14A038659
- Least prime in A031930 (lesser of 12-twins) whose distance to the next 12-twin is 2*n.at n=36A052355
- Numbers k such that 281*2^k + 1 is prime.at n=23A053357
- Smallest prime divisor of Kummer numbers ( = primorials - 1), or 1 if no such prime exists.at n=40A057713
- Integer part of Product_{j=1..n-1} (n-j)^(1 + log(1+j)).at n=6A062496
- Nearest integer to (Product((n - i)^(1 + log(1 + i)), {i, 1, n - 1})).at n=6A062497
- Let a(1) = 1, a(2) = 2, a(3) = 7, a(4) = 15 and for n >= 5 set a(n) = (n*b(n) - b(n-2)) / 2, where b(n) = 4*b(n-2) - b(n-4) for n >= 5 and b(1) = 1, b(2) = 2, b(3) = 5, b(4) = 8.at n=12A093652
- Smallest prime p such that p divides m^(m+1)+1, where m = (p-2n-1)/(2n).at n=43A123571
- Hex (or centered hexagonal) numbers that are prime powers of the form (6n+1)^k.at n=38A133323
- Primes with a prime number of partitions into prime parts.at n=28A146949
- Primes of form 3*p*(p-1)+1 with p also a prime.at n=11A165683
- First prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=37A238673
- Primes p such that 2*p^2 + 3 and 2*p^2 + 5 are also primes.at n=23A247197
- Primes of form n^2 + 1296.at n=16A256834
- Primes prime(k) such that (prime(k)*prime(k+1)+1)/2 is prime.at n=38A266163
- Number of partitions of n*(n-1)/2 into at most three parts.at n=32A274233
- Standard Jacobi primes.at n=13A275878
- Yarborough primes that remain Yarborough primes when each of their digits are replaced by their cubes.at n=35A296563