35311
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = floor(n*phi^16), where phi is the golden ratio, A001622.at n=16A004931
- Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=28A023293
- Primes that remain prime through 4 iterations of function f(x) = 8x + 5.at n=3A023321
- Numerators of continued fraction convergents to sqrt(897).at n=4A042734
- First member of a prime quadruple in a 2p-1 progression.at n=19A057327
- Primes such that the sum of the squares of its digits is equal to the product of its digits.at n=8A067779
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=24A078858
- Primes that are a concatenation of 3, 5 and a prime.at n=15A101219
- Smallest primes starting a complete three iterations Cunningham chain of the second kind.at n=11A110024
- Smallest primes starting a complete three iterations Cunningham chain of the first or second kind.at n=28A110025
- a(n) = floor(n*t^n), where t=golden ratio=(1+sqrt(5))/2.at n=15A128439
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=36A137463
- Primes of the form floor(binomial(k,2)/4).at n=41A171574
- Number of (w,x,y) with all terms in {0,...,n} and 2*max(w,x,y) >= 3*min(w,x,y).at n=33A213392
- Least prime p such that 3 + 4*prime(p*n) = 5*prime(q*n) for some prime q.at n=24A260886
- Expansion of (1+11*x+24*x^2+11*x^3+x^4)/(1-x)^5.at n=11A294433
- Primes that are the first in a run of exactly 4 emirps.at n=16A346024
- Emirps p such that if q is the next emirp after p, 2*q-p is also an emirp.at n=35A350852
- Take a prime p>9, sum the digits, repeat the sum deleting the first addendum and adding the previous sum and so on. Sequence lists the minimum prime p that produces a run of exactly n consecutive primes.at n=7A391445
- Prime numbersat n=3761