40189
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 203*2^k + 1 is prime.at n=21A032478
- The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=56A139602
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 0, 1), (1, 1, -1), (1, 1, 0)}.at n=8A150599
- Primes with distinct nonprime digits.at n=44A155024
- Primes which are triangular numbers plus 3.at n=27A159047
- The least number s having exactly n fours in the continued fraction of sqrt(s).at n=32A206584
- Least prime p such that pi(p*n) = prime(q*n) for some prime q, where pi(x) denotes the number of primes not exceeding x.at n=42A260197
- Expansion of Sum_{i>=1} mu(i)^2*x^i / (1 - Sum_{j>=1} mu(j)^2*x^j)^2, where mu() is the Moebius function (A008683).at n=13A281812
- Numbers k such that 5*10^k + 57 is prime.at n=21A295392
- Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum.at n=43A372097
- Prime numbersat n=4222