34583

Properties

Appears in sequences

• Number of partitions of n into parts not of the form 17k, 17k+2 or 17k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 7 are greater than 1.at n=47A035963
• Primes of the form k^2 + prime(k) + 1.at n=14A063461
• Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=40A092946
• Row sums of triangle A105542, which equals the matrix square of triangle A105540.at n=12A105544
• Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=35A138715
• Primes of the form n^2 - 13.at n=17A154648
• Primes of the form (p^2 - 3)/2 where p is also prime.at n=27A165635
• Smallest emirp corresponding to the prime of A178583.at n=13A178584
• a(n) is the smallest prime in the interval [k*sqrt(k), k*sqrt(k+2)], where k = A001359(n), or a(n)=0 if there is no prime in this interval.at n=38A247867
• Primes having only {3, 4, 5, 8} as digits.at n=31A386171
• a(n) = least prime greater than prime(n)*prime(n+1).at n=41A391804
• Prime numbersat n=3693