30977
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=31A002496
- a(n) = T(8,n), array T given by A048471.at n=5A036549
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=40A054755
- Numbers whose divisors have the form m^k + 1, k>1.at n=33A054964
- Primes p such that the period of the decimal expansion of 1/p is a square.at n=34A072858
- Primes p such that (p-1) and the period length of 1/p are both squares.at n=15A076516
- Primes of the form 2^r*11^s + 1.at n=10A077499
- Smallest prime p such that tau(p-1) + tau(p+1) is n, or 0 if no such number exists.at n=38A090482
- a(n) = 3*a(n-1) + 2*a(n-3), with a(0)=1, a(1)=3.at n=9A098589
- Primes p such that the largest prime divisor of p^6 + 1 is less than p.at n=0A102328
- a(n) is the least prime p such that the largest prime divisor of 1+p^n is less than p.at n=5A102329
- Primes of the form 512n+257.at n=10A105131
- Primes of the form 4*k^2 + 1.at n=30A121326
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=51A146348
- Primes of the form 81*k^2 - 72*k + 17.at n=2A154276
- a(n) = 81*n^2 - 72*n + 17.at n=20A154277
- a(n) = 64*n^2 + 1.at n=22A158686
- Primes which are within 1 of a square number.at n=32A163588
- Noncomposite numbers in the northwestern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.at n=31A168024
- Triangle read by rows: T(n, k) = 2^n*(q^k - 1)*(q^(n - k) - 1) + 1, where q = 3.at n=22A176794