35677
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=39A017835
- Smallest prime p such that between p and the next prime for every k = 1, ..., n there is a number m_k whose smallest prime factor is prime(k).at n=9A080077
- Smallest prime p such that between p and the next prime for every k = 1, ..., n there is a number m_k whose smallest prime factor is prime(k).at n=10A080077
- Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=13A082889
- a(n) = prevprime(A090117(n)), the largest prime previous to squares given in A090117, being such that distance of a(n) to the following prime equals 2*n.at n=25A090118
- Primes that are a concatenation of 3, 5 and a prime.at n=28A101219
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 14.at n=2A109568
- Numbers appearing in A122072 at least four times.at n=25A122390
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=37A137463
- Primes p such that log(nextPrime(p))/log(p) is smaller for larger primes.at n=43A144104
- Greater of two consecutive primes, p < q, such that both p*q+p-q and p*q-p+q are prime numbers.at n=38A154552
- Primes p such that (p-a)*(p+a)-+a*p and (p-b)*(p+b)-+b*p are primes, a=2,b=3.at n=4A155010
- Smallest primes such that when primes up to and including the n-th term in this sequence are summed, the result will be divisible by 10^n.at n=2A174106
- Number of strings of numbers x(i=1..7) in 0..n with sum i^4*x(i) equal to 2401*n.at n=19A184353
- Primes p such that q-p = 52, where q is the next prime after p.at n=2A204665
- Smallest of four consecutive primes whose sum is a square.at n=10A206280
- Number of 6's in the last section of the set of partitions of n.at n=53A206556
- Primes p(i) such that p(i+1)/p(i) > p(k+1)/p(k) for all k>i, where p(i) is the i-th prime.at n=38A209407
- Primes that are the sum of 51 consecutive primes.at n=29A215992
- Primes p such that 4*p is greater than the greatest prime factor of p^4 -1 and p^4 + 1.at n=6A218849