34757
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p such that the polynomial x^5-x^4-x^3-x^2-x-1 mod p has 5 distinct zeros.at n=27A106281
- Primes that do not divide any term of the Lucas 5-step sequence A074048.at n=13A106301
- Primes p such that googol - p is prime.at n=23A108252
- Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable.at n=28A135846
- Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x^5 - x^4 - x^3 - x^2 - x - 1 modulus p is factorizable into five binomials.at n=22A135847
- Primes of the form 41+(n+n^2)/2=41+A000217(n).at n=31A139219
- a(n) = ((1+4*sqrt(2))*(5+sqrt(2))^n + (1-4*sqrt(2))*(5-sqrt(2))^n)/2.at n=5A164301
- Numbers k such that 25^k - 5^k - 1 is prime.at n=18A265483
- Expansion of (x^4+x^3+x^2-x-1)/(x^4+2*x^3+2*x^2+x-1).at n=13A272642
- Number of n-node unlabeled forests with two connected components.at n=16A274935
- Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.at n=2A297505
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.at n=38A297506
- Number of 3 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.at n=6A297508
- Trajectory of n under the Reverse and Add! operation carried out in base 8 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=42A306596
- Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=43A328489
- Primes of the form k + A037276(k) in more than one way.at n=11A340636
- Lesser of twin primes (A001359) being both half-period primes (A097443).at n=35A347225
- Lesser p of a sexy prime pair such that (p-3)/2 is also the lesser prime of a sexy prime pair.at n=23A358571
- Prime numbersat n=3712