36389

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 22.at n=8A031610
• Lower prime of the second gap of 2n between primes.at n=21A046789
• Smallest prime p of two consecutive primes, p < q, such that gcd( p-1, q-1 ) = 2n.at n=21A058264
• a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.at n=10A082099
• Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=14A082889
• a(1)=2; for n>1 a(n) is the largest prime number m such that a(n-1)^(1/(n-1))>m^(1/n).at n=24A086566
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 12.at n=1A109566
• Numbers appearing in A122072 at least four times.at n=26A122390
• Home primes whose homeliness is greater than 4.at n=28A133963
• Home primes whose homeliness is greater than 5.at n=9A133965
• Home primes whose homeliness is greater than 6.at n=6A133967
• Home primes whose homeliness is 7.at n=3A133968
• Primes p such that q-p = 44, where q is the next prime after p.at n=1A134121
• Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,2) - p = 2*n, or -1 if no such prime exists.at n=30A144103
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338.at n=39A146360
• Primes p such that the multiplicative order of 2 modulo p is (p-1)/11.at n=15A152311
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist).at n=21A168253
• a(n) = (n^4 + 16*n^3 + 65*n^2 + 26*n + 12)/12.at n=22A188480
• Limiting value of the iterated process of factoring n and concatenating prime powers (in decimal) in the order of increasing primes.at n=19A239448
• Limiting value of the iterated process of factoring n and concatenating prime powers (in decimal) in the order of increasing primes.at n=44A239448