38639
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 29.at n=3A025029
- Primes with 29 as smallest positive primitive root.at n=7A061733
- Let s(n) = n-th single prime (cf. A007510). Sequence is defined by recurrence a(n+1) = s(a(n)), n = 0,1,2,..., a(0)=1.at n=5A064110
- Primes p such that 2*p+1 and ((2*p+1)^2 + 1)/2 = p^2 + (p+1)^2 are primes.at n=38A098717
- Primes of the form 8*k-1 such that 4*k-1 and 16*k-1 are also primes.at n=29A101792
- Primes of the form n + sum of proper non-divisors of n.at n=27A192560
- Primes of the form 2n^2 - 3.at n=33A201712
- Primes p such that p*q*r + 6 and p*q*r - 6 are primes where q and r are the next two primes after p.at n=28A240715
- Smallest prime p such that none of p + 1, p + 3,... p + 2n - 1 are squarefree and all of p + 2, p + 4,... p + 2n are squarefree.at n=5A257116
- Smallest prime p such that none of p + 1, p + 3,... p + 2n - 1 are squarefree and all of p + 2, p + 4,... p + 2n are squarefree.at n=6A257116
- a(n) is the smallest prime having exactly n consecutive primitive roots.at n=26A261438
- a(n) is the smallest prime with at least n consecutive primitive roots.at n=22A268397
- a(n) is the smallest prime with at least n consecutive primitive roots.at n=23A268397
- a(n) is the smallest prime with at least n consecutive primitive roots.at n=24A268397
- a(n) is the smallest prime with at least n consecutive primitive roots.at n=25A268397
- a(n) is the smallest prime with at least n consecutive primitive roots.at n=26A268397
- Primes of the form abs(-66n^3 + 3845n^2 - 60897n + 251831) in order of increasing nonnegative n.at n=10A272438
- Smallest k such that (k+i)*prime(n)# - 1 is prime for i = 0, 1, 2, 3, 4 with prime(n)# = A002110(n) the n-th primorial, n>1.at n=19A277691
- First of three consecutive primes p,q,r such that r^2-p^2+p, r^2-p^2+q and r^2-p^2+r are consecutive primes.at n=37A347531
- Numerators of the partial alternating sums of the reciprocals of the sum of divisors function (A000203).at n=32A357845