50177
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=37A002496
- Numbers whose divisors have the form m^k + 1, k>1.at n=39A054964
- Primes of the form 512*k+1.at n=18A076339
- Primes p such that (p-1) and the period length of 1/p are both squares.at n=20A076516
- Primes of the form 2^r*7^s + 1.at n=11A077498
- Primes obtained as the product of successive terms of A084039 + 1, i.e., a(n) = A084039(n)*A084039(n+1) + 1.at n=27A084040
- a(n) = index of first appearance of n in A096862.at n=20A097008
- Primes of the form 4*k^2 + 1.at n=36A121326
- Primes p of the form 4*n^2 + 1 such that 4*p^2+1 is also prime.at n=7A121834
- Primes p such that |100-p|, |1000-p|, |10000-p| and |100000-p| are also primes.at n=33A126021
- a(n) is the smallest prime p where |d(p-1) - d(p+1)| = n. (d(m) = the number of divisors of m.)at n=25A145338
- Primes of the form p^2 + 2*p + 2 where p is prime.at n=12A157467
- a(n) = 64*n^2 + 1.at n=28A158686
- Primes p such that the equation x^64 == -2 (mod p) has a solution, and ord_p(-2) is even.at n=1A163186
- Primes which are within 1 of a square number.at n=38A163588
- Triangle read by rows: row n gives the n primes corresponding to A187825.at n=32A195258
- Pythagorean primes p such that for all primes q < p, p XOR q is not equal to p - q.at n=36A197918
- Number of (n+1)X4 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero.at n=6A204735
- Number of (n+1)X8 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero.at n=2A204739
- T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2 X 2 permanents nonzero.at n=38A204740