22973

Properties

Appears in sequences

• First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4).at n=5A054813
• Smallest prime p such that x = n is a solution mod p of x^3 = 2, or 0 if no such prime exists.at n=39A059940
• Numbers k such that (10^k - 1)/9 + 6 is prime.at n=15A097684
• a(n) = floor(n^3/3).at n=41A131476
• Primes with eight embedded primes.at n=12A179916
• Number of (w,x,y,z) with all terms in {1,...,n} and 3*w = x+y+z.at n=41A212069
• a(1) = 5; a(n) for n > 1 is the smallest prime > a(n-1) that differs from a(n-1) by a square.at n=54A246760
• Least prime p = prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2 + q^2, where q > prime(n+3) is also prime.at n=15A263724
• Nonnegative numbers k such that 3*k + 2 is a cube.at n=13A287335
• Prime time primes (of the form HMMSS with primes H < 24 and MM, SS < 60) such that the corresponding number of seconds after midnight is also prime.at n=19A295000
• Primes p whose last digit is the same as that of both its predecessor prime and its successor prime.at n=20A298075
• Primes p such that p=prime(k), prime(k+1), and prime(k+2) end in the same digit.at n=21A328452
• a(n) = Sum_{k=1..n} binomial(n, k) (mod 2^k).at n=18A386660
• Prime numbersat n=2563