29191
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = Sum_{k=0..n} C(n-k,4*k).at n=19A005676
- Primes whose consecutive digits differ by 7 or 8.at n=16A048419
- Primes of form 210*p + 1 where p is a prime.at n=18A051648
- For p = prime(n), a(n) is the smallest prime q such that pq is a base-2 pseudoprime; that is, 2^(pq-1) = 1 mod pq; a(n) is 0 if no such prime exists.at n=45A085012
- Smallest prime of the form prime(k) concatenated with prime(k+n).at n=32A089782
- One fifth of the sum of the first n primes, when an integer.at n=35A112271
- Primes p that divide Fibonacci[(p-1)/7].at n=34A125253
- Centered triangular numbers that are prime.at n=31A125602
- Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=29A138715
- Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries.at n=33A160500
- Primes such that applying "reverse and add" twice produces two more primes.at n=21A174402
- a(n) = 1 + 2*3 + 4*5*6 + 7*8*9*10 + ... + ...*n (see Example lines).at n=14A227364
- Primes whose base-3 representation also is the base-2 representation of a prime.at n=44A235265
- Expansion of (1+x)/(1-x^2-3*x^3).at n=21A238389
- Primes whose trajectories under the map x -> A039951(x) enter the cycle {83, 4871} (conjectured).at n=6A252812
- Odd primes p for which there are exactly as many primes in the range [prevprime(p)^2, prevprime(p)*p] as there are in the range [prevprime(p)*p, p^2], where prevprime(p) gives the previous prime before prime p.at n=33A256473
- Primes p such that A001175(p) = (p-1)/7.at n=19A308792
- Primes p such that A001177(p) = (p-1)/7.at n=12A308800
- Primes p such that the order of 2 mod p is less than the square root of p.at n=27A333245
- Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.at n=21A364797