147457

Properties

Appears in sequences

• Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=33A005109
• arctan(arcsin(tanh(x)))=x-3/3!*x^3+49/5!*x^5-1971/7!*x^7+147457/9!*x^9...at n=4A012126
• Primes of the form n*2^phi(n)+1 with phi the Euler function.at n=12A046154
• a(n) = T(5,n), array T given by A048472.at n=12A048477
• Primes of the form 9*2^n+1.at n=6A050528
• Primes of form 1+(2^a)*(3^b), a>0, b>0.at n=27A058383
• Primes of form 2^x + 2^y + 1.at n=38A070739
• Primes p such that (p-1) and the period length of 1/p are both squares.at n=32A076516
• Primes of the form 2^i + 2^j + 1, i > j > 0.at n=33A081091
• a(n) = 2*a(n-1) - 1 with a(0) = 10.at n=14A083705
• Numbers n such that sigma(n) = 2n - 3*phi(phi(n)).at n=28A110074
• a(n) = 1 + (n-6)*2^(n-1).at n=9A115342
• Primes p of the form 4*n^2 + 1 such that 4*p^2+1 is also prime.at n=8A121834
• E.g.f. A(x) satisfies: A(x) = exp(x + x*Integral A(x) dx).at n=8A143921
• Primes of the form 9*n^2 + 1.at n=19A156226
• Primes of the form p^2 + 2*p + 2 where p is prime.at n=20A157467
• Pythagorean primes p such that for all primes q < p, p XOR q is not equal to p - q.at n=45A197918
• a(n) = 9*4^n+1.at n=7A199208
• Primes of the form n^2+1 such that (n+2)^2+1 is also prime.at n=7A206328
• Next prime of the form 4m^2 + 1 larger than A215233(n).at n=6A215234