43103

Properties

Appears in sequences

• a(n) is the least odd prime p such that the maximum run length of consecutive quadratic residues modulo p is n.at n=20A025046
• a(n) = A077708(n+1)/A077708(n).at n=17A077709
• a(n)=prime(x) is the smallest prime such that 1+(2^(12n+9))*prime(x) is divisible by prime(x+1).at n=34A087779
• Smallest number whose shortest Lucas chain is of length n.at n=23A104892
• K-bit primes p such that p-2^i and p+2^i are composite for 0<=i<=K-1.at n=32A153352
• Primes p dividing every A167859(m) from m=(p-1)/2 to m=(p-1).at n=39A167860
• Primes p such that 2*p^4+-9 are also prime.at n=23A174365
• In A217564, prime(i), where i is the index of the start of the first exactly-n terms between successive zeros.at n=9A217658
• a(n) is the least prime of the set of the smallest n consecutive primes a(n)=q_1(n), q_2(n),..., such that between (1/2)*q_i and (1/2)q_(i+1), i=1,...,n-1, there exists a prime, or a(n)=0 if no such set of primes exists.at n=7A217671
• a(n) is the least prime of the set of the smallest n consecutive primes a(n)=q_1(n), q_2(n),..., such that between (1/2)*q_i and (1/2)q_(i+1), i=1,...,n-1, there exists a prime, or a(n)=0 if no such set of primes exists.at n=8A217671
• a(n) is the least prime of the set of the smallest n consecutive primes a(n)=q_1(n), q_2(n),..., such that between (1/2)*q_i and (1/2)q_(i+1), i=1,...,n-1, there exists a prime, or a(n)=0 if no such set of primes exists.at n=9A217671
• a(n) = A273059(4n+2).at n=36A275918
• Primes such that A271229(n) = prime(n).at n=40A276649
• When the positive integers are written as products of primes in nondecreasing order, a(n) is the least prime to occur more frequently in n-th position than in any other position.at n=3A309366
• Primes in A239237.at n=36A361252
• G.f. satisfies A(x) = 1 + x*A(x)*(1 + x^3*A(x)^5).at n=13A365759
• Prime numbersat n=4504