45293
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p giving prime quadruples (30p+11, 30p+13, 30p+17, 30p+19).at n=21A087771
- Larger of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=15A153405
- Primes of the form 10n^2+6n+1.at n=24A154409
- a(n+1) is the smallest divisor of a(n)^2+1 that does not yet appear in the sequence, with a(1) = 1.at n=21A166134
- Primes of the form 5*x^2 - 3*y^2, where x and y are consecutive numbers.at n=35A176470
- Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k.at n=35A242384
- Partial sums of primes, but with a twist.at n=21A247657
- Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + Product_{k=1..n} f(k) (in case of a tie minimize the imaginary part); a(n) is the square of the modulus of f(n).at n=18A319920
- The number of overpartitions of n having more non-overlined parts than overlined parts.at n=27A340658
- Prime numbersat n=4699