42967
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Column 0 of triangle A105542, which equals the matrix square of triangle A105540.at n=20A105543
- a(n) = (11*5^n - 7)/4.at n=6A117088
- Primes p such that 8*p^2-2*p-1 divides Fibonacci(p).at n=33A159231
- Primes prime(k) such that prime(k)^2 + prime(k+1)^2 - 1 is a perfect square.at n=8A160054
- Magnetic Tower of Hanoi, number of moves of disk number k, optimally solving the [RED ; NEUTRAL ; BLUE] pre-colored puzzle.at n=11A183113
- a(1) = 2; thereafter, a(n) is the smallest prime not yet used which is compatible with the condition that a(n) is a non-quadratic residue modulo a(k) for the next n indices k = n + 1, n + 2, ..., 2n.at n=23A249797
- Primes p such that both (p^2 + 5)/6 and (p^4 + 5)/6 are prime.at n=30A253925
- Centered 22-gonal primes.at n=27A276262
- Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10.at n=24A287306
- Primes prime(k) such that prime(k)^2 + prime(k+1)^2 - 1 is the square of a prime.at n=6A359414
- Prime numbersat n=4492