89101

Properties

Appears in sequences

• Initial prime in set of 4 consecutive primes with common difference 6.at n=31A033451
• Denominators of continued fraction convergents to sqrt(222).at n=9A041415
• Denominators of continued fraction convergents to sqrt(888).at n=9A042717
• First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=33A054800
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,6,4).at n=8A078969
• Primes p such that p, p+6, p+12, p+18 are consecutive primes and p = 6*k+1 for some k.at n=15A090837
• Primes from merging of 5 successive digits in decimal expansion of the Champernowne Constant.at n=1A104948
• Smallest prime obtained as a concatenation of prime(n) and prime(m) with m > n.at n=23A113893
• Largest prime factor of n!! + (n+1)!!.at n=33A118333
• Primes of the form k^3-k^2+1, k>0.at n=18A162292
• Triangle read by rows: T(n,k) = value of the string of length k beginning at position n in the concatenation of natural numbers in decimal representation, 1<=k<=n.at n=32A162711
• Primes of the form (p^2-1)/4-p where p are also primes.at n=39A165557
• Prime numbers ending in the prime number 101.at n=23A167626
• Put the natural numbers together without spaces and read them five at a time advancing one space each time.at n=7A193493
• Primes that are the concatenation of prime(n) and prime(n+2).at n=5A253245
• Centered 18-gonal (or octadecagonal) primes.at n=35A264825
• Artiads (A001583) congruent to 1 mod 50 and for which 5 is a quintic residue.at n=13A271210
• Bases b where exactly nine primes p with p < b exist such that p is a base-b Wieferich prime.at n=12A325885
• Number of wedged n-spheres in the homotopy type of the neighborhood complex of Kneser graph KG_{3,n}.at n=21A342737
• 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=12A344463