32341
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=43A033316
- Primes obtained as a right concatenation of more than one consecutive even numbers and 1.at n=3A068706
- Largest of six consecutive primes the sum of the digits of each of which is prime.at n=21A106720
- Primes of the form k# + (k+1)# +- 1, where k# = A002110(k) = primorial(k).at n=6A125191
- Primes of the form 256 k + 85.at n=28A127593
- Primes p such that (p+18), (p+36) and (p+72) are also prime.at n=34A175158
- Triangle, read by rows, T(n, k) = (2*n)!/((n-k)! * k!)^2 - (2*n)!/(n!)^2 + 1.at n=22A176078
- Triangle, read by rows, T(n, k) = (2*n)!/((n-k)! * k!)^2 - (2*n)!/(n!)^2 + 1.at n=26A176078
- Sums of 3 distinct primorials.at n=30A177697
- Larger of emirp pairs whose digital sums are also emirps (A178091).at n=41A178093
- Primes p of the form 420k + 1 for some k.at n=31A217587
- Primes p such that q=2*p^2-1, r=2*p*q-1 and 2*p*r-1 are also prime.at n=1A224991
- Numbers n such that the sum of the prime factors (including repeats) of prime(n)-1 and prime(n+1)-1 are the same.at n=18A259564
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.at n=36A269912
- Hyperartiads.at n=33A270798
- Centered 21-gonal primes.at n=12A276261
- Primes equal to a pentagonal number plus 1.at n=28A285789
- Numbers k such that psi(phi(k))/k > psi(phi(m))/m for all m < k, where phi is Euler's totient function (A000010) and psi is the Dedekind psi function (A001615).at n=20A293712
- Numbers n such that both n-1 and n are nonsquares and the least positive solutions to the Pell equations x1^2 - n*y1^2 =1 and x0^2-(n-1)*y0^2 = 1 have a record for rho(n)=log(x1)/log(x0).at n=23A303604
- Emirp-indexed emirps: emirps with emirp subscripts.at n=32A326442