41651

Properties

Appears in sequences

• Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=38A023317
• Primes p whose period of reciprocal equals (p-1)/7.at n=30A056212
• a(n) = n^3 - n^2 + 1.at n=35A100104
• a(n) = 34*n^2 + 1.at n=35A158586
• Primes of the form k^3-k^2+1, k>0.at n=14A162292
• Least number k such that d(k-1) = d(k+1) = 2n or 0 if no such k exists, where d(n)=A000005(n).at n=17A190646
• Prime numbers p where d(p-1) = d(p+1) increases to a record.at n=7A190821
• Odd primes p for which there are exactly as many primes in the range [prevprime(p)^2, prevprime(p)*p] as there are in the range [prevprime(p)*p, p^2], where prevprime(p) gives the previous prime before prime p.at n=37A256473
• Primes for which the sum of all preceding odd-indexed prime gaps is exactly one greater than the sum of all preceding even-indexed prime gaps.at n=27A282178
• Number of independent vertex sets and vertex covers in the n-gear graph.at n=10A287350
• Primes p such that A001175(p) = (p-1)/7.at n=27A308792
• Primes p such that A001177(p) = (p-1)/7.at n=19A308800
• Union of 2, A282178, and A330339.at n=38A330554
• Position of the first occurrence of n in A337474.at n=44A337476
• Numbers k such that both 3*k-2 and 2*k-3 are in A338410.at n=7A338416
• a(n) is the least prime p such that (p^2-2*n)/(2*n-1) and (p^2+2*n)/(2*n+1) are both prime, or 0 if such p does not exist.at n=44A344463
• a(n) is the smallest number m such that tau(m-1) = tau(m+1) = n*tau(m) or 0 if no such m exists, where tau(k) = A000005(k).at n=17A350935
• Prime numbersat n=4358