75991
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) is the smallest number x such that the number of prime powers (including primes, excluding 1), in the neighborhood of x with radius ceiling(log(x)), equals n.at n=7A096510
- Solutions to A096509[x]=7; number of prime-powers [including primes] in the neighborhood of x with Ceiling[Log[x]] radius equals 7.at n=0A096518
- Primes that do not divide any term of the Lucas 5-step sequence A074048.at n=21A106301
- Beginning with 3, least prime such that concatenation of first n terms and its digit reversal both are primes.at n=46A113584
- Prime numbers p of the form 10k+1 for which the pentanacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is factorizable into five binomials.at n=14A135843
- Primes p such that the polynomial x^7 - 7*x + 3 (mod p) is the product of seven linear factors.at n=41A358147
- Primes p such that p + 10^i are prime for i from 1 to 5.at n=5A387703
- Prime numbersat n=7483