37181
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = 5^n mod 2^n.at n=19A029757
- Square root of A030693.at n=23A030694
- Largest prime x such that x/(n^k), rounded up, is 1 or a prime for all positive integer values of k.at n=4A128110
- Primes of the form (4*n^2-8*n-9)/3.at n=40A154616
- Smallest number k such that k^2 begins with n^3.at n=23A197722
- a(n) equals the smallest Sophie Germain prime q such that pi_(p,2p+1)(q,10,(1,3)) - pi_(p,2p+1)(q,10,(3,1)) = n, where pi_(p,2p+1)(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10).at n=12A333084
- a(n) is the first prime p such that the sum of 2*n consecutive primes starting at p is q*(q+1) where q is prime, or 0 if there is no such p.at n=9A338989
- Prime numbersat n=3939