33521

Properties

Appears in sequences

• a(n) = 2^n - 1 + 2*Fibonacci(n-1).at n=14A060161
• Smallest prime factor of googol + n that exceeds 13, or 1 if googol + n is 13-smooth.at n=31A076848
• The value of C in y = x^2+11x+C such that y is prime for all x = 0 to 6.at n=7A097458
• Primes equal to a sum of primes with differences congruent to (2,4) mod 6.at n=21A104160
• Number of double rises at an odd level in all nondecreasing Dyck paths of semilength n. A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.at n=10A121530
• Primes p such that the decimal expansion of p remains prime under two iterations of base-10 to base-2 conversions.at n=11A123266
• Primes of the form 2n^2+14n+5.at n=22A154577
• a(n+1) is the smallest prime > a(n) such that the digits of a(n) are all (with multiplicity) contained in the digits of a(n+1), with a(1)=5.at n=11A242906
• Primes p such that A001175(p) = (p-1)/8.at n=11A308793
• Primes of the form p+q+r where p < q < r = p+6 are consecutive primes.at n=37A309354
• a(n) is the least integer k such that n/(Sum_{j=1..n} 1/phi(k*j)) is an integer.at n=36A341813
• a(n) is the number of consecutive even prime gap pairs (g1, g2) satisfying g1 == 0 (mod 6) and g2 == 2 (mod 6) out of the first 2^n consecutive even prime gap pairs.at n=18A345333
• Primes p such that if q is the next prime, (p+q)/6 is a triangular number.at n=43A356293
• Prime numbers of the form 3p+8 where p, p+2 and p+6 are prime numbers.at n=20A376013
• Prime numbersat n=3588