648391

Properties

Appears in sequences

• Primeth recurrence: a(n+1) = a(n)-th prime.at n=10A007097
• Primes p whose order of primeness A049076(p) is >= 6.at n=10A049202
• Primes for which A049076(p) >= 5.at n=30A049203
• Primes p whose order of primeness A078442(p) is at least 10.at n=0A057847
• Primes p whose order of primeness A078442(p) is at least 7.at n=4A057849
• Primes p whose order of primeness A078442(p) is at least 8.at n=2A057850
• Primes p whose order of primeness A078442(p) is at least 9.at n=1A057851
• Primes for which A049076(p) = 11.at n=0A058327
• a(1) = prime(1), a(2) = prime(prime( a(1) )), a(3) = prime(prime(prime( a(2) ))), a(4) = prime(prime(prime(prime( a(3) )))), etc.at n=3A092922
• Transposition sequence of the dispersion of the primes.at n=17A114538
• Smallest value of the n-fold nesting prime(prime(...(k)...)) with a prime digital sum.at n=8A162253
• Smallest value of the n-fold nesting prime(prime(...(k)...)) with a prime digital sum.at n=9A162253
• Permutation of natural numbers: a(1) = 0, a(2) = 1, and for n > 1, a(2n) = nthcomposite(a(n)), a(2n-1) = nthprime(a(A064989(2n-1))), where nthprime = A000040, nthcomposite = A002808, and A064989(n) shifts the prime factorization of n one step towards smaller primes.at n=30A246682
• The Matula number of the rooted tree obtained from the rooted tree T having Matula number n by replacing each edge of T with a path of length 2.at n=30A257538
• a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A064989(2n+1))).at n=28A269848
• Permutation of natural numbers: a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A268674(2n+1))).at n=28A269858
• Square array A(n, k), n > 0, k >= 0, read by antidiagonals upwards; A(n, k) is the image of n after k iterates of the prime function (A000040).at n=63A354967
• Square array A(n, k), n > 0, k >= 0, read by antidiagonals upwards; A(n, k) is the image of n after k iterates of the prime function (A000040).at n=64A354967
• Square array A(n, k), n > 0, k >= 0, read by antidiagonals upwards; A(n, k) is the image of n after k iterates of the prime function (A000040).at n=65A354967
• Rectangular array read by antidiagonals: A(n,k) = prime(A114537(n,k)).at n=45A370094