53593

Properties

Appears in sequences

• Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=33A047977
• a(n) and a(n)+4^k are primes at least for k=1,2,3,4.at n=19A049494
• a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5.at n=6A049495
• a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5,6.at n=3A049496
• Primes of the form 4*k^2 - 10*k + 7 with k positive.at n=35A073337
• Expansion of (1 - x - sqrt(1 - 2*x - 23*x^2))/(12*x^2).at n=8A091149
• a(n) is the first term p in a sequence of primes such that p+4m^2 is prime for m = 0 to n, but composite for m = n+1; a(n) = -1 if no such prime exists.at n=5A092120
• a(1) = 5. a(n+1) is the greatest prime of the form k*(a(n)-k) + 1. The least prime occurs for k = 1 and a(n+1) = a(n) in that case if no other value of k gives a prime then the sequence terminates.at n=5A109904
• Number of benzenoids with 23 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=17A123142
• Primes p such that there are positive integers m and n and a prime q such that p = m^2+m-q = n^2+n+q.at n=34A162652
• Primes of the form ((p-1)/2)^2+((p+1)/2), where p is prime.at n=35A163418
• Primes having only {3, 5, 9} as digits.at n=37A260227
• Centered 14-gonal (or tetradecagonal) primes.at n=20A264821
• Primes p such that p+2^4, p+2^6, p+2^8 and p+2^10 are all primes.at n=14A269258
• Primes p such that p+2^4, p+2^6, p+2^8, p+2^10 and p+2^12 are all primes.at n=6A269259
• Number of unlabeled hereditary semiorders on n points.at n=10A293499
• Primes p such that p - 3 divides 3^p - 3.at n=37A302988
• Primes of the form 9*k^2 + 3*k + 1.at n=28A303740
• Brazilian primes that are also the greater of a pair of twin primes.at n=32A306889
• Numbers k such that 369*2^k+1 is prime.at n=19A323009