18757

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=28A023273
• Largest prime below prime(n)^2 (A001248).at n=32A054270
• a(1) = 1; then primes associated with A091850.at n=36A091851
• Primes congruent to 54 mod 59.at n=38A142781
• Primes congruent to 30 mod 61.at n=35A142828
• Primes p such that p^3 - 24 and p^3 + 24 are also primes.at n=33A153323
• Primes p such that p^2 - 2 is a 5-almost prime.at n=28A156620
• Take A163498(n) written in binary, insert a 0 before every 1. a(n) is the decimal equivalent of the result.at n=38A163499
• Smallest emirp corresponding to A178585.at n=25A178586
• Primes p of the form penta(n)-3, where penta(n) is the n-th pentagonal number.at n=26A232537
• Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes.at n=17A237440
• Number of partitions of n such that 2*(number of distinct parts) = number of parts.at n=51A239959
• Positions of records in A240606.at n=8A240619
• Smallest k such that the number of the first even exponents in prime power factorization of (2*k)! is n, or a(n)=0 if there is no such k.at n=16A241786
• Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7.at n=4A252140
• Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7.at n=4A252145
• Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime.at n=20A256811
• Number of unlabeled rooted trees with n nodes where the outdegrees (branching factors) of adjacent nodes differ by exactly one.at n=59A257654
• a(n) is the least k such that A261865(k) = A005117(n).at n=18A262036
• Primes of the form abs(3n^3 - 183n^2 + 3318n - 18757) in order of increasing nonnegative n.at n=0A272401