18593

Properties

Appears in sequences

• Palindromic primes in base 3.at n=25A029971
• 4 consecutive primes differ by 2n or more starting at a(n).at n=9A054698
• Primes p such that q-p = 24, where q is the next prime after p.at n=30A098974
• Primes congruent to 43 mod 53.at n=40A142573
• Primes congruent to 8 mod 59.at n=34A142735
• Primes congruent to 49 mod 61.at n=28A142847
• Least number m such that floor((3^n-m)/(2^n-m)) > floor(3^n/2^n).at n=35A153725
• a(n) = ceiling(A173510(n)/2).at n=40A173513
• a(1) = 1, a(n+1) = least prime p > a(n) such that a(n) + p is a square.at n=20A178825
• Sequence of primes separated by [sequence of prime] elements. 2, [find 2nd prime after 2 = ] 5, [find 3rd prime after 5 =] 13, [find 5th prime after 13 =] 61, ..., etc.at n=34A180302
• a(n) = floor((n+1/n)^5).at n=6A197604
• a(n) = round((n+1/n)^5).at n=6A198070
• Smallest of the first four consecutive primes that comprise two sets of primes with difference 2*n.at n=11A226657
• Values k(i) such that k(i) + k(i+3) = k(i+1) + k(i+2), where k(i) is A022885(i).at n=11A235725
• Primes p with prime(p)^2 + (2*p)^2 and p^2 + (2*prime(p))^2 both prime.at n=38A236193
• Primes of the form (k^2+2)/6.at n=40A245045
• Primes p such that p+-2 and p+-4 are semiprimes.at n=11A266845
• a(n) = (2*prime(n)^2 + 1)/3.at n=36A286679
• Expansion of e.g.f. log(1 + arctan(x))*exp(x).at n=9A296438
• Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,3) - p = 2*n, or -1 if no such prime exists.at n=33A339943