34549
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=46A018830
- Smallest k such that 2^^n is not congruent to 2^^(n-1) mod k, where 2^^n denotes the power tower 2^2^...^2 (in which 2 appears n times).at n=10A027763
- a(n) is the least prime of class n-, according to the Erdős-Selfridge classification of primes.at n=8A056637
- Primes of the form 8k+5 generated recursively: a(1)=5, a(n) = least prime p == 5 (mod 8) with p | 4+Q^2, where Q is the product of all previous terms in the sequence.at n=16A057208
- Class 9- primes.at n=0A081428
- Let f(p) = greatest prime divisor of p-1. Sequence gives smallest prime which takes at least n steps to reach 2 when f is iterated.at n=9A082449
- 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=28A109563
- Numbers appearing in A122072 at least four times.at n=22A122390
- Primes p such that q-p = 34, where q is the next prime after p.at n=11A134116
- Primes of the form 2m*691 - 1.at n=7A134671
- a(n) is the smallest prime p beginning with 2n such that the difference between p and the next prime is 2n.at n=16A162357
- Smallest integer k such that the number of iterations of Carmichael lambda function (A002322) needed to reach 1 starting at k (k is counted) is n.at n=11A173927
- 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=23A240715
- Smallest k such that 3^^n is not congruent to 3^^(n-1) mod k, where 3^^n denotes the power tower 3^3^...^3 (in which 3 appears n times).at n=9A246491
- Smallest k such that 4^^n is not congruent to 4^^(n-1) mod k, where 4^^n denotes the power tower 4^4^...^4 (in which 4 appears n times).at n=9A246492
- Smallest k such that 6^^n is not congruent to 6^^(n-1) mod k, where 6^^n denotes the power tower 6^6^...^6 (in which 6 appears n times).at n=8A246494
- Smallest k such that 7^^n is not congruent to 7^^(n-1) mod k, where 7^^n denotes the power tower 7^7^...^7 (in which 7 appears n times).at n=9A246495
- Smallest k such that 8^^n is not congruent to 8^^(n-1) mod k, where 8^^n denotes the power tower 8^8^...^8 (in which 8 appears n times).at n=9A246496
- Smallest k such that 9^^n is not congruent to 9^^(n-1) mod k, where 9^^n denotes the power tower 9^9^...^9 (in which 9 appears n times).at n=8A246497
- Erroneous version of A271811 (but for odd primes only).at n=23A271664