18553

Properties

Appears in sequences

• a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 10.at n=17A022315
• Primes which are not the sum of consecutive composite numbers.at n=39A037174
• Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=25A065044
• Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=21A089779
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 9.at n=22A109563
• Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=30A118467
• Primes p such that q-p = 30, where q is the next prime after p.at n=20A124596
• 1 together with terms of A037174.at n=40A140464
• Primes congruent to 27 mod 59.at n=39A142754
• Primes congruent to 9 mod 61.at n=34A142807
• Smallest of 3 consecutive prime numbers such that p1*p2*p3*d1*d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(delta)=p2-p1, d2(delta)=p3-p2.at n=17A153409
• The prime(n)-th prime number ending in prime(n), or 0 if none exists.at n=15A238331
• Primes which are not the sum of two or more consecutive nonprime numbers.at n=37A257393
• Prime(r) for r such that prime(r) - prime(r-1) = 12 and prime(r-1) - prime(r-2) = 2.at n=45A299110
• a(n) is the least prime p such that, if q is the next prime after p and d = q-p, then p-n*d, p+n*d, q-n*d and q+n*d are all prime.at n=52A353697
• Number of distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.at n=15A360350
• a(n) is the smallest prime p such that, for m >= nextprime(p), there are more composites than primes in the range [2, m], where multiples of primes prime(1) through prime(n) are excluded.at n=4A361915
• Consecutive states of the linear congruential pseudo-random number generator 20403*s mod 2^15 when started at s=1.at n=22A384196
• Prime numbersat n=2125