472393

Properties

Appears in sequences

• Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=36A005109
• Primes that remain prime through 4 iterations of the function f(x) = 3x + 4.at n=20A023308
• Primes of form 1+(2^a)*(3^b), a>0, b>0.at n=30A058383
• 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=10A060211
• Greater member p of a twin prime pair such that p-1 is 3-smooth.at n=11A078884
• Primes obtained as the product of successive terms of A084039 + 1, i.e., a(n) = A084039(n)*A084039(n+1) + 1.at n=21A084040
• Primes of the form 8*k^2 + 1.at n=28A090685
• Numbers n such that sigma(n) = 2n - 3*phi(phi(n)).at n=31A110074
• Larger member of twin prime pairs whose sum is a square.at n=23A118593
• Least prime p of the form c*3^n+1 with c not divisible by 3.at n=10A137990
• Primes of the form 2^i * 3^j + 1 with i + j = 13.at n=4A172488
• a(n) = 8*3^n + 1.at n=10A199111
• a(n) = 8*9^n+1.at n=5A199677
• Primes of the form 3n^3+1.at n=10A201112
• Generalized cuban primes (A007645) which are also Class 1- (or Pierpont) primes (A005109).at n=31A217035
• Numbers k such that 2^(3^j) == 1 (mod k) for some j.at n=19A318688
• a(n) = [x^n] ((x - 1)*(x + 1)*(2*x^2 - 1))/(2*x^4 + 4*x^3 - x^2 - 3*x + 1).at n=13A327993
• a(n) is the smallest prime p such that the number of distinct values of the ratio (number of nonnegative m < p such that m^k == m (mod p))/(number of nonnegative m < p such that -m^k == m (mod p)) is equal to n for some nonnegative k.at n=11A340281
• Prime numbersat n=39420