139969
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- A variant of the cuban primes: primes p = (x^3 - y^3)/(x - y) where x = y + 2.at n=34A002648
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=32A005109
- Primes of form 1+(2^a)*(3^b), a>0, b>0.at n=26A058383
- Larger term of a pair of twin primes such that the prime factors of their average are only 2 and 3. Proper subset of A058383.at n=9A060211
- Smallest prime of the form k*n^n + 1.at n=5A070855
- Greater member p of a twin prime pair such that p-1 is 3-smooth.at n=10A078884
- Primes obtained as the product of successive terms of A084039 + 1, i.e., a(n) = A084039(n)*A084039(n+1) + 1.at n=17A084040
- Primes obtained as the ratio of successive terms of A084039 + 1; i.e., a(n) = max(A084039(n), A084039(n+1))/min(A084039(n), A084039(n+1)) + 1.at n=24A084041
- Numbers n such that sigma(n) = 2n - 3*phi(phi(n)).at n=27A110074
- Twin prime pairs that sum to a power.at n=35A119768
- Primes of the form a^a + b^b + c^c + d^d.at n=12A133664
- Primes of the form 2^i * 3^j + 1 with i + j = 13.at n=2A172488
- Primes of the form k*6^m +1 where k is a Mersenne prime (A000668) and m is an integer.at n=6A185167
- Primes of the form 3*6^k+1.at n=3A186105
- a(n) = 3*6^n+1.at n=6A199318
- Primes of the form 3n^3+1.at n=7A201112
- Generalized cuban primes (A007645) which are also Class 1- (or Pierpont) primes (A005109).at n=27A217035
- Lesser of two consecutive primes, p < q, such that p*q + p - q and p*q - p + q are also consecutive primes.at n=35A225726
- Primes of form 3*k^k + 1.at n=2A301644
- Primes p such that there exists a cyclic permutation of the nonzero residues modulo p such that v^2 - 4*u*w == 0 (mod p) for any three consecutive residues u,v,w.at n=15A376008