33529
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square.at n=25A088319
- Prime numbers p such that p +- ((p-1)/4) are primes.at n=33A137705
- Primes in toothpick sequence A153006.at n=32A153009
- The smallest A(m) such that the interval (A(m)*n, A(m+1)*n) contains exactly one element of A, where A is the sequence of primes p for which p-2 is not prime.at n=23A201828
- Primes p such that both prevprime(p^2) - 2 and nextprime(p^2) + 2 are also primes.at n=15A226986
- Primes (with d digits, say) that generate another prime when acted on by the "standard" superpermutation of length A007489(d) of d elements (cf. comment).at n=33A244311
- Number of n X 3 arrays containing 3 copies of 0..n-1 with no element 1 greater than its north, southwest or northwest neighbor modulo n and the upper left element equal to 0.at n=4A266877
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, southwest or northwest neighbor modulo n and the upper left element equal to 0.at n=25A266878
- Number of 5Xn arrays containing n copies of 0..5-1 with no element 1 greater than its north, southwest or northwest neighbor modulo 5 and the upper left element equal to 0.at n=2A266881
- Primes p such that 2*p + 23 is a square.at n=41A269785
- Numbers k such that (266*10^k - 17)/3 is prime.at n=27A273944
- Primes that yield a prime when any single digit is replaced by its 10's complement.at n=28A345529
- First of four consecutive primes p,q,r,s such that the sum of numerator and denominator of p/q + q/r, p/q + r/s, and q/r + r/s, are all prime.at n=16A355696
- G.f. satisfies A(x) = 1 + x*A(x) + 2*x^3*A(x)^3.at n=12A367111
- Prime numbersat n=3589